Novel Transistors – Beyond the Planar Silicon MOSFET
Transcription
Novel Transistors – Beyond the Planar Silicon MOSFET
45th European Solid-State Device Research Conference TUTORIAL Novel Transistors – Beyond the Planar Silicon MOSFET Organizer: Max Lemme University of Siegen, Germany Conference Venue: Messe Congress Graz, Austria September 18, 2015 Conference Organization: JOANNEUM RESEARCH Foschungsgesellschaft mbH Graz, Austria Technical Co-Sponsorship Novel Transistors – Beyond the Planar Silicon MOSFET Organizer: Max Lemme, University of Siegen, Germany The aim of this tutorial is to present – in a didactic format – novel and emerging transistor options for More Moore and More Than Moore applications. Even though industry is approaching the end of physical gate length scaling, the quest for new transistor designs and materials is far from over. In fact, the options for future transistors appear to be as wide as or wider than they have ever been. The speakers of this tutorial have been carefully chosen to reflect the multitude of approaches pursued in research and development today. The target audience is PhD students with various backgrounds and industry engineers, but also aims to peak the interest researchers working in related fields. The presentations will provide a thorough introduction to the respective topics and aim to give an outlook on circuit design implications. The latter is intended to also address attendants of the sister conference, the European Solid-State Circuits Conference (ESSCIRC). Agenda: 13:00 Thin Channel Silicon Transistors Geert Eneman, IMEC, Leuven (Belgium) Page 3 14:00 Coffee Break 14:30 Tunnel FETs Joachim Knoch, RWTH-Aachen, Aachen (Germany) 15:30 Compound Semiconductor Devices Suman Datta, Penn State, State College (USA) Page xx 16:30 Coffee Break 17:00 2D Channel Devices Jörg Appenzeller, Purdue, West Lafayette (USA) Page XX 18:00 Graphene FET Models for Circuit Design Sebastien Fregonese, University of Bordeaux, Bordeaux (France) 2 ESSDERC 2015 Tutorial: Thin Channel Silicon Transistors Geert Eneman E-Mail: [email protected] © IMEC 2015 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 2 3 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 3 The power of scaling Scaling more and faster transistors on chip Year 1971 2015 ratio Transistors 2.300 1.900.000.000 ~ 800.000 Speed (Hz) 10.800 3.800.000.000 ~ 360.000 Gate length (nm) 10.000 ~20 ~ 1/500 12 133 ~ 11 Area (mm2) >40 years of scaling Intel 4004 Intel Core i7 Broadwell-U © IMEC 2015 GEERT ENEMAN 4 4 MOSFET transistors MOSFET’s: the basic component of digital logic applications Top-view Side-view = Ideal transistor = switch Wanted: • High on-current “On-current” Switching time τ : “Off-current”=0 Source-to-drain current Transistor channel 0 τ~ VDS=1 CVDD I on Source Drain n+ region Silicon n+ region pregion Substrate Log ISourcedrain Drain = Gate Substrate Drain Source Gate Source Isolation oxide Gate A “real” transistor “On-current” VDS=1 “Off-current” • Low off-current Static power consumption: VT 1V GS © IMEC 2015 PStatic ~ I Off ⋅ VDD 0 VT 1 GEERT ENEMAN VGS 5 Planar Si technology Poly-Si gate SiO2 spacer Silicide Essentially a 2D device: different SiO active layers are thin isolation 2 • Only upper surface layer of Si is active • Thin gate insulator • Thin gate electrodes Si substrate SiO2 gate insulator 100nm Low-topography structure: limited strain on patterning (lithography) Intel’s 32nm planar technology (top-view) Process: • Layer depositions thickness control • Lithography lateral dimension control Billions of transistors on one substrate © IMEC 2015 GEERT ENEMAN SiO2 Si Gate 6 5 MOSFET Scaling • Scaling has been very successful until 130nm node Below 130nm node: “simple scaling” becomes problematic • Gate leakage Source-to-drain leakage Scaling: Scaling Oncurrent Offcurrent 0 Offcurrent 1 Scaling Oncurrent 0 VGS 1 VGS • Loss of channel control offcurrent increases • Increase of doping less oncurrent improvement • Higher on-current • Same off-current © IMEC 2015 What we get: Log ID/W Log ID/W What we want: GEERT ENEMAN 7 MOSFET Scaling Specified vs. actual scaling of LG and TOx 100 200 300 Technology node (nm) 1999 2002 2004 4 ITRS spec 3.5 T scaling Ox 3 Slower 2.5 than 2 ITRS 1.5 1 0.5 0 100 200 Technology node (nm) 2007 1999 G Gate oxide (Tox) scaling Oxide thickness (nm) ITRS spec L scaling 2002 350 300 250 200 150 100 50 0 0 2013 2010 2007 2004 Gate length (nm) Gate length (LG) scaling Scaling: slowed down due to short-channel control issues, and gate leakage © IMEC 2015 GEERT ENEMAN 8 6 Short-channel effects Long-channel transistors: build-up of inversion layer at the gate interface Band structure along cutline NFET Gate Gate P- Dielectric N+ Cutline N+ Drain Electrons ----- Conduction band +++ Source NFET in on-state Holes Valence band Well-behaved transistors: inversion carriers only close to gate good gate control © IMEC 2015 GEERT ENEMAN 9 Short-channel effects Long-channel transistors: build-up of inversion layer at the gate interface Band structure along cutline Gate Electrons ----- PFET in on-state Conduction band Holes Valence band Gate Gate P- Dielectric N+ Cutline N+ Drain +++ Source NFET in on-state Conduction +++ + + NFET - - - band Valence band Well-behaved transistors: inversion carriers only close to gate good gate control © IMEC 2015 GEERT ENEMAN 10 7 Short-channel effects N+ N+ Path for electrons, far from the gate Gate Space charge region of n+ source/drain NFET in on-state -- - - ++ NFET Log ISourcedrain Short-channel effects: channel is influenced by source/ drain regions short-circuit from source to drain Poor shortchannel control Well-behaved transistor SS P- 0 VGS Leakage paths in the substrate lead to poor shortchannel control, e.g. poor Subthreshold Swing (SS) increased off-state current © IMEC 2015 GEERT ENEMAN 11 Short-channel effects N+ N+ Punchthrough leakage Path for electrons, far from the gate Gate Space charge region of n+ source/drain NFET in on-state -- - - ++ NFET Log ISourcedrain Short-channel effects: channel is influenced by source/ drain regions short-circuit from source to drain Poor shortchannel control Well-behaved transistor SS P- 0 VGS Leakage paths in the substrate lead to poor shortchannel control, e.g. poor Subthreshold Swing (SS) increased off-state current © IMEC 2015 GEERT ENEMAN 12 8 Short-channel effects N+ N+ Gate Smaller space charge region of n+ source/drain NFET in on-state -- + ++ + NFET P+ Log ISourcedrain Solution: increase substrate doping (Well / halo implants, ground-plane) Leakage? Poor shortchannel control With increased substrate doping SS 0 VGS Increased substrate doping better short-channel control. However, increased doping more junction leakage and lower mobility © IMEC 2015 GEERT ENEMAN 13 Short-channel effects N+ N+ Gate Silicon-oxide =insulator -- Oxide NFET in on-state ++ NFET Log ISourcedrain Solution: Silicon-on-Insulator (SOI). UltraThin Body SOI (UTBSOI). Poor shortchannel control Series resistance? SOI SS 0 VGS Insulator cuts off source-drain leakage path. Issues: thin Si channel defects, series resistance, body bias control, process control © IMEC 2015 GEERT ENEMAN 14 9 Short-channel effects Solution: Strain-relaxed buffers: band energies are material-dependent band offset between channel and SRB NFET in on-state N+ “QuantumWell” N+ Gate Strainrelaxed buffer Wanted band offset -- SRB Band offset + ++ NFET SRB’s band offset can improve or degrade short-channel effects / scalability. Less band offset than SOI SRBs: easier to manufacture © IMEC 2015 GEERT ENEMAN 15 Short-channel effects Solution: Strain-relaxed buffers: band energies are material-dependent band offset between channel and SRB NFET in on-state -- SRB Unwanted band offset “Quantumbarrier” Band offset Gate N+ Gate N+ “QuantumWell” + ++ Strainrelaxed buffer Wanted band offset SRB -- -- + ++ NFET SRB’s band offset can improve or degrade short-channel effects / scalability. Less band offset than SOI SRBs: easier to manufacture © IMEC 2015 GEERT ENEMAN 16 10 Short-channel effects Solution: FinFETs: a thin ‘fin’ channel that is controlled from 3 sides by the gate Gate Gate -- --- Oxide NFinFET in on-state SOI FinFET Si BOX Insulator cuts off source-drain leakage path. Issues: thin Si channel defects, series resistance, body bias control, process control © IMEC 2015 GEERT ENEMAN 17 Short-channel effects Solution: Gate-All-Around / Nanowire: gate around channel excellent electrostatic control NFinFET in on-state Nanowire Gate Gate -- --- Drain Gate Source Issues: thin Si channel defects, series resistance, body bias control, process control © IMEC 2015 GEERT ENEMAN 18 11 Physical limits in scaling Si MOSFET The MOSFET can be thought of as consisting of two wells (source and drain) separated by a barrier (channel). Thermionic emission E CB E VB Source QM tunneling Sum = Ioff channel leakage BTB tunneling unneling Lgate Drain Planar gate: limited electrostatic control of the channel When the channel length reduces, no effective barrier is formed between the source and drain and the transistor “OFF” current increases. Devices with an improved electrostatic control over the channel are needed. © IMEC 2015 GEERT ENEMAN 19 Natural channel length λ “A device will be free of short-channel effects if the gate length is at least 4 to 6 times longer than the natural length λ.” Short-channel effects in MOSFETs can be minimized by: - Decreasing the gate oxide thickness dox - Increasing the dielectric constant εox of the gate oxide material. I.e. decreasing the ‘effective oxide thickness’. - Decreasing the channel thickness dchannel SOI, FinFETs and nanowires © IMEC 2015 GEERT ENEMAN I. Ferain et al, Nature Vol. 479, 310 (2011) 12 20 Multigate MOSFETs The value of the natural length is given by: λ1 = ε Si tox t Si ε ox λ2 = ε Si tox t Si in a double-gate MOSFET 2ε ox λ4 = in a gate-all-around ε Si tox t Si (quadruple-gate) 4ε ox in a single-gate MOSFET MOSFET εox: electrical permittivity of the gate oxide εSi: electrical permittivity of the channel tox: gate oxide thickness tSi: channel thickness © IMEC 2015 I. Ferain et al, Nature Vol. 479, 310 (2011) GEERT ENEMAN 21 Multigate MOSFETs The most interesting information that can be extracted from the calculation of the natural length for the different gate configurations is that: and It has been shown, using extensive numerical simulations, that the natural length for a tri-gate device is given by: The concept of an ‘effective gate number’, N, can thus be defined, and the generalized relationship for the natural length can be written as follows: λN = ε Si tox t Si Nε ox © IMEC 2015 I. Ferain et al, Nature Vol. 479, 310 (2011) GEERT ENEMAN 22 13 Multigate MOSFETs F. Boeuf, ST, IEDM short course, 2013 © IMEC 2015 GEERT ENEMAN 23 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator • Properties, advantages and challenges • Wafer fabrication • Strain • Circuit implications FinFETs Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 24 14 SOI devices Conventional bulk MOSFET SOI MOSFET Silicon channel Silicon dioxide Silicon substrate Silicon substrate Silicon-On-Insulator (SOI): thin channel on top of SiO2 on top of Si substrate © IMEC 2015 T. Hook, IBM, FDSOI Workshop, San Francisco, California (2012) GEERT ENEMAN Conventional bulk MOSFET 25 SOI devices Drain-Induced Barrier Lowering O. Weber et al, Leti / ST, ECS Trans. 22(1), 78, 2009 Silicon substrate SOI MOSFET Silicon dioxide Silicon substrate © IMEC 2015 SOI advantage #1: Improved scalability, especially for thin channels (small tSi) Allows shorter transistors, and lowvoltage operation GEERT ENEMAN 26 15 SOI devices Conventional bulk MOSFET SOI MOSFET Si: ε=11.7 Silicon substrate SiO2: ε=3.9 Silicon dioxide Silicon substrate SOI advantage #2-#3: • Lower junction leakage reduced static power • Lower junction capacitance increased speed © IMEC 2015 GEERT ENEMAN 27 Classification of SOI devices Conventional MOSFET Partially depleted SOI MOSFET Floating body Silicon substrate Silicon dioxide Silicon substrate Partially-depleted SOI: • Silicon film thickness greater than bulk depletion width (i.e. >40-80nm) • Risk for kink effects • Similar device operation as conventional MOSFETs © IMEC 2015 GEERT ENEMAN 28 16 Classification of SOI devices Conventional MOSFET Partially depleted SOI MOSFET Fully depleted SOI MOSFET Floating body Silicon dioxide Silicon dioxide Silicon substrate Silicon substrate Silicon substrate Fully-depleted SOI: • Silicon film thickness lower than bulk depletion width • Channel parameters depend on substrate bias © IMEC 2015 GEERT ENEMAN 29 SOI devices Bulk transistors “Latch-up is the inadvertent creation of a low-impedance path between the power supply rails of a MOSFET circuit, triggering a parasitic structure which disrupts proper functioning of the part” SOI transistors UTBSOI advantage #4-#5: • No parasitic bipolar/ thyristor no latch-up • Isolation from substrate good radiation hardness http://www.analog.com/library/analogDialogue/archives/35-05/latchup/index.html © IMEC 2015 GEERT ENEMAN 30 17 Back biasing of SOI devices Fully depleted SOI MOSFET ION/IOFF for SOI NFET Varying substrate bias Silicon dioxide Q. Liu et al, IEDM Proc., pp. 228 (2013) Silicon substrate Fully-depleted SOI: • Silicon film thickness lower than bulk depletion width • Channel parameters depend on substrate bias SOI advantage #6: back bias can be used for VT tuning. High-performance, low-leakage, ... device flavors © IMEC 2015 GEERT ENEMAN 31 SOI: Channel Doping and Variability Threshold voltage (VT) vs channel thickness Channel doping (cm-3): 1e18 7.5e17 • Thick channels:VT can be tuned by channel doping. Similar to bulk FETs. 5e17 2.5e17 1e17 • Thin channels:VT independent of doping No channel doping required in UTBSOI H. Van Meer, PhD Thesis, KU Leuven, 2002 © IMEC 2015 GEERT ENEMAN 32 18 SOI: Channel Doping and Variability VT mismatch Threshold voltage (VT) vs channel thickness Channel doping (cm-3): 1e18 7.5e17 5e17 2.5e17 1e17 H. Van Meer, PhD Thesis, KU Leuven, 2002 © IMEC 2015 O. Weber, ECS Trans. 22(1), pp 71 (2009) Random dopant fluctuations are an important source of variability SOI advantage #7: low channel doping low VT variability, high mobility GEERT ENEMAN 33 SOI: Access Resistance Thin source/drain portions under the channel are a concern for access resistance Raised Si/SiGe source/drains grown by epi Silicon dioxide Silicon substrate Careful junction design, thin spacers and epitaxial source/drains are a must for UTBSOI. Series resistance reduction is more critical than for bulk technologies © IMEC 2015 GEERT ENEMAN T. Hook, IBM, FDSOI Workshop, San Francisco, California (2012) 19 34 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator • Properties, advantages and challenges • Wafer fabrication • Strain • Circuit implications FinFETs Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 35 SOI devices: Substrate Fabrication SOI substrate techniques • • SIMOX (Separation by IMplanted OXygen) • Smart-Cut® • BESOI (Bond and Etch-back SOI) ELTRAN® (Epitaxial Layer TRANsfer) • SOS (Silicon-On-Sapphire) • ... © IMEC 2015 G. Celler et al, Appl. Phys. Rev. 93(9), 4955, 2003 GEERT ENEMAN 36 20 SOI devices: Substrate Fabrication SOI substrate techniques • • SIMOX (Separation by IMplanted OXygen) • Smart-Cut® • BESOI (Bond and Etch-back SOI) ELTRAN® (Epitaxial Layer TRANsfer) • SOS (Silicon-On-Sapphire) • ... © IMEC 2015 G. Celler et al, Appl. Phys. Rev. 93(9), 4955, 2003 GEERT ENEMAN 37 SOI Formation: SIMOX Process 1. Initial silicon 2. Oxygen implant 3. Anneal SiO2 Si Si • • © IMEC 2015 Oxygen profile Energy 120-200 keV Dose ~0.3-1.8e18 cm-2 GEERT ENEMAN • Si >1300°C, 3-6 hours 38 21 SOI Formation: SMART-CUT® Process (Soitec, CEA-Leti) 1. Initial silicon 5. SmartCut splitting at 500°C A A 2. Oxidation B 3. Smart-Cut implant 6. Annealing 1100°C + CMP SOI wafer H+ ions 5x1016 cm-2 4. Cleaning and bonding 7. Wafer A becomes B A New A Wet clean or plasma treated bonding A→B B © IMEC 2015 GEERT ENEMAN 39 SOI: What about Strained Channels? Mechanical strain is a performance booster for planar FETs since the 90nm node • Global strain: e.g. virtual buffers Planar technology Strained Si channel σ Gate σ σ SiGe virtual substrate © IMEC 2015 GEERT ENEMAN 40 22 SOI: What about Strained Channels? Mechanical strain is a performance booster for planar FETs since the 90nm node • Global strain: e.g. virtual buffers Strained SOI wafers (SOITEC) Planar technology Strained Si channel σ σ Gate σ SiGe virtual substrate SOI technology Strained Si channel σ σ Gate σ SiO2 Silicon Global stress techniques compatible with SOI technology © IMEC 2015 GEERT ENEMAN 41 SOI: What about Strained Channels? Mechanical strain is a performance booster for planar FETs since the 90nm node • Strained CESL • Local strain: Contact etch-stop layers (CESL), source/drain (S/D) stressors SOI technology Planar technology Strained CESL A. Thean, VLSI Symp., 2006 CESL compatible with SOI technology © IMEC 2015 GEERT ENEMAN 42 23 SOI: What about Strained Channels? Mechanical strain is a performance booster for planar FETs since the 90nm node • • SiGe S/D Strained CESL • Local strain: Contact etch-stop layers (CESL), source/drain (S/D) stressors SOI technology Planar technology Strained CESL A. Thean, VLSI Symp., 2006 Si1-x Gex Si1-x Gex SiO2 ?? CESL compatible with SOI technology SiGe S/D stressor: no S/D etch possible not optimal © IMEC 2015 GEERT ENEMAN 43 SOI: More Design Considerations Lower S/D cap, lower parasitics to ground Improved frequency response Reduced latch-up, improved substrate immunity Improved high-T operation (due to lower leakage) • Passive components can be different: • • • SOI well resistor has no parasitic diode, lower capacitance to ground No well capacitance in SOI Inductors have higher Q factor (high-resistive substrate) No conventional diodes available. Gated diodes are an alternative. Floating body effects (PDSOI) Poor thermal response (buried oxide). Self heating. Bulk SOI A. Marshall & S. Natarajan, “SOI Design: Analog, Memory and Digital Techniques”, Springer, ISBN 0-79237640-4 © IMEC 2015 GEERT ENEMAN 44 24 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs • Properties and advantages • Access resistance and junctions • Effective width and mobility • Strain • Circuit implications Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 45 SOI and FinFETs L. Geppert, IEEE Spectrum, pp 28, Oct. 2008 SOI and FinFETs both get their excellent scalability from an ultra-thin channel SOI © IMEC 2015 FinFETs GEERT ENEMAN 46 25 FinFETs / Tri-Gate FETs FinFET cross-sections Cross-section parallel to Fin © IMEC 2015 GEERT ENEMAN Cross-section perpendicular to FIN T. Hook, IBM, FDSOI Workshop, San Francisco, California (2012) 47 FinFETs / Tri-Gate FETs FinFETs can be fabricated on SOI or bulk substrates SOI-FinFET Si fin Bulk-FinFET Si fin SiO2 Shallowtrench isolation SiO2 Si sub Si sub Bulk-FinFETs can use standard wafers (cost) Parvais et al., VLSI-TSA, 2009 © IMEC 2015 GEERT ENEMAN 48 26 FinFETs / Tri-Gate FETs FinFETs can be fabricated on SOI or bulk substrates Bulk-FinFET Si fin IOFF vs gate length Shallowtrench isolation SiO2 Si sub Bulk-FinFETs can use standard wafers (cost), but require isolation of the substrate (well doping, barrier layer, ...) Manoj et al., IEEE T-ED 55(2), pp. 609, 2008 © IMEC 2015 GEERT ENEMAN 49 FinFETs / Tri-Gate FETs FinFETs have similar advantages as SOI FETs Subthreshold slope vs gate length Excellent scalability Manoj et al., IEEE T-ED 55(2), pp. 609, 2008 © IMEC 2015 GEERT ENEMAN 50 27 FinFETs / Tri-Gate FETs FinFETs have similar advantages as SOI FETs Gate oxide Gate Si P+ HDD P+ HDD BOX Junction cap STI Inverter delay vs fin height Excellent scalability High-resistive path to substrate Low junction leakage Low junction capacitance Robust against latch-up and radiation Manoj et al., IEEE T-ED 55(2), pp. 609, 2008 © IMEC 2015 GEERT ENEMAN 51 FinFETs / Tri-Gate FETs FinFETs have similar advantages as SOI FETs Gate oxide Gate Si P+ HDD P+ HDD BOX Junction cap STI Inverter delay vs fin height Excellent scalability High-resistive path to substrate Low junction leakage Low junction capacitance Robust against latch-up and radiation • Back bias for VT tuning? Manoj et al., IEEE T-ED 55(2), pp. 609, 2008 © IMEC 2015 GEERT ENEMAN 52 28 FinFETs / Tri-Gate FETs FinFETs have similar advantages as SOI FETs Threshold voltage vs fin width 0.5 0.4 [V] 0.3 L =50 mV DS poly =10 µm 0.2 Tlin V V 0.1 increased fin doping 0 no fin doping -0.1 -0.2 0.01 0.1 W fin Narrow fins: Fully depleted.VT weakly dependent on channel doping © IMEC 2015 1 [µm] 10 Wide fins: similar to planar.VT depends strongly on fin doping Excellent scalability High-resistive path to substrate Low junction leakage Low junction capacitance Robust against latch-up and radiation • Back bias for VT tuning? Lowly-doped channels reduced random-dopant fluctuation, good mobility N. Collaert et al., VLSI Symp. 2005 GEERT ENEMAN 53 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs • Properties and advantages • Access resistance and junctions • Effective width and mobility • Strain • Circuit implications Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 54 29 FinFETs: Access resistance Current travels from source drain. In the extension it passes through a fin which is lightlydoped and not gate-controlled High extension resistance Nitride/oxide spacers Drain Source Gate Extension region: under the spacer spacer Fins HM Source Drain poly SOI FinFET Gate © IMEC 2015 GEERT ENEMAN 55 FinFETs: Junctions Implanted dopants may lead to non-uniform source/drains (S/D) Top-Only S/D Conformal S/D IDS –VGS Comparison 1.E-02 Gate Gate 1.E-03 1.E-04 Drive current Isat (uA/um) 1.E-05 1.E-06 Top-Only Extension Conformal Extension 1.E-07 1.E-08 Fin width=35nm Fin height=60nm VDD=1.2V 1.E-09 1.E-10 1.E-11 1.E-12 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Vg (V) Conformal extensions result in up to 2 x Idrive increase ! Junction design is critical for fins. Source/drains need to be conformally doped © IMEC 2015 GEERT ENEMAN 56 30 FinFETs: Junctions ION/IOFF Comparison 1.E-04 nFET VDD=1V Tilt =10deg 1.E-05 IOFF [A/um] 1.E-06 1.E-07 1.E-08 45deg 1.E-09 1.E-10 1.E-11 0 100 200 300 400 500 600 700 800 ION [uA/um] Strong dependence of performance on implant angle High angles required for uniform fin doping... but high angle implants can not be used in high density circuits © IMEC 2015 GEERT ENEMAN 57 FinFETs: Junctions ‘Shadowing’ of implants due to neighboring fins and resist Cross-section of the fin Implant direction β α Fin Resist Fin Fin In dense layouts (e.g. SRAM), high-angle implants are shadowed by neighboring fins or resist © IMEC 2015 GEERT ENEMAN 58 31 FinFET Access Resistance: Extensions E.g. plasma doping as alternative: 1,E-02 BF3 PLAD - ST Pulsed Plasma DC 1015/cm2 pMOS Ioff (A/µm) 1,E-04 1,E-06 500V - P1 15% 1,E-08 500V - P2 500V - P3 500V - P2 - dilution 500V - 1.5E15/cm2 1,E-10 750V - P1 10° tilt I2 reference 1,E-12 0 200 400 600 800 1000 1200 1400 Ion (µA/µm) D. Lenoble et al., VLSI Symp. 2006 © IMEC 2015 GEERT ENEMAN 59 Dual epi raised S/D for non-planar tri-gate Blanket epitaxial raised S/D growth Selective undercut Etch pMOS regions In-situ doped p+ SiGe epitaxy Epi-grown S/D requires to reduce access resistance J. Kavalieros et al, Intel, VLSI 2006 © IMEC 2015 GEERT ENEMAN 60 32 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs • Properties and advantages • Access resistance and junctions • Effective width and mobility • Strain • Circuit implications Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 61 FinFETs and Effective Width Top channel Side channel (cut along gate) (omitting gate) Top channel Side channel Total channel width 𝑊𝑊𝑊𝑊𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸 𝐼𝐼𝐼𝐼 ≈ 𝐶𝐶𝐶𝐶𝑂𝑂𝑂𝑂𝑂𝑂𝑂𝑂 � 𝜇𝜇𝜇𝜇 � 𝑉𝑉𝑉𝑉𝐺𝐺𝐺𝐺𝐺𝐺𝐺𝐺 − 𝑉𝑉𝑉𝑉𝑇𝑇𝑇𝑇 𝐿𝐿𝐿𝐿 𝛼𝛼𝛼𝛼 FinFETs: Conduction through top and side of channel Can offer higher drive current than planar (depending on distance between fins, fin height, etc...) © IMEC 2015 GEERT ENEMAN 62 33 FinFETs and Effective Width A channel is formed at the top and sidewalls of the fin Electrical vs. physical FET width (Fin-Effect) 𝐼𝐼𝐼𝐼 ≈ 𝐶𝐶𝐶𝐶𝑂𝑂𝑂𝑂𝑂𝑂𝑂𝑂 𝑊𝑊𝑊𝑊𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸 � 𝜇𝜇𝜇𝜇 � 𝑉𝑉𝑉𝑉𝐺𝐺𝐺𝐺𝐺𝐺𝐺𝐺 − 𝑉𝑉𝑉𝑉𝑇𝑇𝑇𝑇 𝐿𝐿𝐿𝐿 𝛼𝛼𝛼𝛼 T. Hook, IBM, FDSOI Workshop, San Francisco, California (2012) © IMEC 2015 GEERT ENEMAN 63 FinFETs and Effective Width 𝐼𝐼𝐼𝐼 ≈ 𝐶𝐶𝐶𝐶𝑂𝑂𝑂𝑂𝑂𝑂𝑂𝑂 𝑊𝑊𝑊𝑊𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸 � 𝜇𝜇𝜇𝜇 � 𝑉𝑉𝑉𝑉𝐺𝐺𝐺𝐺𝐺𝐺𝐺𝐺 − 𝑉𝑉𝑉𝑉𝑇𝑇𝑇𝑇 𝐿𝐿𝐿𝐿 𝛼𝛼𝛼𝛼 Carrier mobility (cut along gate) (omitting gate) Top channel Top channel (100)/<110> Side channel (110)/<110> Fin top and side are different crystallographic planes and have different carrier mobilities • Fin top: (100)/<110> plane • Fin side: (110)/<110> plane Side channel © IMEC 2015 GEERT ENEMAN 64 34 FinFETs: Orientation-Dependent Mobility Experimental work, SiON dielectric, long channels Electrons Holes Fin side Fin top Fin top Fin side Mobility at NINV=1e13cm-2 Silicon cm2/Vs Electrons Holes (100)/<110> 237 58 (110)/<110> 88 168 (110)/<100> 107 106 (111)/<112> 154 92 © IMEC 2015 Yang et al, IBM, TED 53(5), 965 (2006) GEERT ENEMAN 65 Fins: What about Strained Channels? Mechanical strain is a performance booster for planar FETs since the 90nm node Channel stress along fin sidewall Stress (MPa) Planar technology Strained Si channel σ σ Gate σ SiGe virtual substrate Perpendicular STI Channel Longitudinal Virtual substrate Fin technology Fin height 30nm 0 Perp. -1000 stress Longit. stress Eneman et al., IEDM pp. 131 (2012) -2000 10 100 1000 Fin width (nm) For realistic fin widths (W<30nm), perpendicular channel stress is negligible Virtual substrates are uniaxial stressors in FinFETs (planar MOSFETs: biaxial stress) Most stressors are compatible with (bulk) fins, with different channel stress © IMEC 2015 GEERT ENEMAN 66 35 FinFETs: More Design Considerations Similarities to planar SOI: Lower S/D cap, lower parasitics to ground Improved frequency response Reduced latch-up, improved substrate immunity Improved high-T operation (due to lower leakage) • Passive components can be different: SOI-FF well resistors have no parasitic diode, lower capacitance to ground No well capacitance in SOI-FF Inductors have higher Q factor (high-resistive substrate) • • • No conventional diodes available in SOI-FF. Gated diodes are an alternative. Poor thermal response (SOI-FF). Self heating. © IMEC 2015 GEERT ENEMAN 67 FinFETs: More Design Considerations Potentially higher drive current per area than planar Fin pitch (Pfin) and fin height are fixed by process Discrete number of fins quantized ‘device width’ Gate-to-S/D parallel plate transistor higher gateto-source/drain (Miller) capacitance Using back-bias for multi-VT is difficult Fin Fin King Liu, VLSI Tech. Short course, 2012 © IMEC 2015 Metal contact GEERT ENEMAN J. Warnock et al, ISPD 2013 68 36 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs Nanowires • Properties, advantages and disadvantages • Fabrication • Design considerations Conclusions © IMEC 2015 GEERT ENEMAN 69 Evolution of transistors towards devices with improved electrostatic control J.P. Colinge, Tyndall © IMEC 2015 GEERT ENEMAN 70 37 Comparison of Planar vs Nanowire Architecture Heike Riel, IBM, Sinano Workshop, Seville (2010) © IMEC 2015 GEERT ENEMAN 71 Comparison of Planar vs Nanowire Architecture Heike Riel, IBM, Sinano Workshop, Seville (2010) © IMEC 2015 GEERT ENEMAN 72 38 Nanowires Nanowire advantages Subthreshold slope vs gate length Nanowire FinFET Si Excellent scalability, better than fins or planar SOI High-resistive path to substrate Low junction leakage Low junction capacitance Robust against latch-up and radiation • Back bias for VT tuning? Lowly-doped channels reduced random-dopant fluctuation, good mobility C. Hobbs, Sematech Symposium, 2011 © IMEC 2015 GEERT ENEMAN 73 Nanowires: Disadvantages • Series resistance: more challenging than fins or SOI • Current scales down with wire cross-section stacked wires required to have enough drive • Processing: controlled etching of wires required.Topto-bottom wire variation? • Can the channels be stressed? • New sources of variability Wire Variability in Si nanowires LExt,wire Wire radius Gate Source Drain Gate work function Spacer Current J. Zhuge, IEDM, p.61 , 2009 Substrate High-resistance region © IMEC 2015 GEERT ENEMAN 74 39 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs Nanowires • Properties, advantages and disadvantages • Fabrication • Design considerations Conclusions © IMEC 2015 GEERT ENEMAN 75 Nanowire Fabrication © IMEC 2015 GEERT ENEMAN 76 40 Nanowire Fabrication Stacking nanowires helps increase total drive current to meet ITRS targets. C. Hobbs, Sematech Symposium, 2011 © IMEC 2015 GEERT ENEMAN 77 Nanowire Fabrication © IMEC 2015 GEERT ENEMAN 78 41 Wires: More Design Considerations Similarities to FinFETs: Lower S/D cap, lower parasitics to ground Improved frequency response Reduced latch-up, improved substrate immunity Improved high-T operation (due to lower leakage) • Passive components can be different: • • • SOI-wires well resistors have no parasitic diode, lower capacitance to ground No well capacitance in SOI-wires Inductors have higher Q factor (high-resistive substrate) No conventional diodes available in SOI-wires. Gated diodes are an alternative. Poorer thermal response than fins. Self heating. Bulk SOI A. Marshall & S. Natarajan, “SOI Design: Analog, Memory and Digital Techniques”, Springer, ISBN 0-79237640-4 © IMEC 2015 GEERT ENEMAN 79 Wires: More Design Considerations Potentially higher drive current per area than planar Wire pitch (Pfin) and # of stacked wires are fixed by process Discrete number of wires quantized ‘device width’ Gate-to-S/D parallel plate transistor worse than fins higher gate-to-source/drain (Miller) capacitance Using back-bias for multi-VT is difficult Ru Huang, WIMNACT © IMEC 2015 GEERT ENEMAN 80 42 Outline Intro: Scaling and Thin Channel MOSFETs Silicon-on-Insulator FinFETs Nanowires Conclusions © IMEC 2015 GEERT ENEMAN 81 Conclusions An overview is given of SOI, FinFET and nanowire technologies and their difference with planar FETs Trade-off between scalability, better substrate isolation/variability wafer cost, process complexity, access resistance, etc. Circuit design with SOI/fins: similar to bulk, however optimization is required between technologies Post-28nm nodes use UTB-SOI and FinFETs. Post-14nm nodes: nanowires? Thank you for your attention! © IMEC 2015 GEERT ENEMAN 82 43 © IMEC 2015 GEERT ENEMAN 83 44 Suman Datta, Penn State University COMPOUND SEMICONDUCTOR DEVICES Conference Sponsors: COMPUTATION PER KW-HR 2 X energy efficiency increase every 1.5 years Computing gets cheaper and energy efficient 45 VOLTAGE SCALING I on = C gate veff (Vdd − Vth ) I off = I o10 −Vth / SS Constant field scaling worked before Recent years, voltage scaling has slowed down CHALLENGES I on = C gate veff (Vdd − Vth ) • • I off = I o10 −Vth / SS increase veff reduce SS 46 Drain Current, IDS [µA/µm] SI CMOS Intel 22nm Simulation 1000 100 10 PMOS NMOS 1 C. Auth et al VLSI 2012 0.1 Open Symbol: VDS=0.05V Closed Symbol: VDS=0.8V L =26nm 0.01 G EOT=0.9nm 1E-3 -0.8 -0.4 0.0 0.4 0.8 Chipworks Gate Voltage, VGS [V] 3D Continuum model (modified drift-diffusion and quantum corrected density gradient approximation) captures Id-Vg NMOS PMOS 0.6 0.5 0.4 0.3 0.2 0.1 0.3 0.4 0.5 0.6 0.7 0.8 VCC [V] Injection Velocity, vinj [x107cm/s] Injection Velocity, vinj [x107cm/s] INJECTION VELOCITY IN SI CMOS 0.6 0.5 0.4 0.3 0.2 NMOS PMOS 0.1 2 4 Injection velocity in the range of 4 to 6 x106 cm/s Carrier density in the range of 6 to 8 x1012 /cm2 47 6 8 Sheet Charge, ns [x1012 cm-2] Quasi Ballistic FETs High-k High-k “0.5V FETs with High Velocity Carriers at Low Field” Quasi Ballistic FETs 48 III-V ON SI Challenge: Lattice Mismatch Solution: Metamorphic buffer architecture with large effective bandgap Device layers III-V HEMTs on Silicon Fully relaxed metamorphic buffer layer used for epitaxial growth of In0.7Ga0.3As quantum well on Silicon M. Hudait, S. Datta et al, IEDM 2007 49 MOTIVATION Vinj for III-V devices higher than Si state-of-the-art Vinj for In0.53Ga0.47As FinFET device lower than HEMT Mulit-gate architecture required to maintain electrostatics [1], [2] D H Kim et al, IEDM 2009 (MIT) [3] M Radosavljevic et al, IEDM 2011 (Intel) [4] A Khakifirooz et al, TED 2008 [5] C Auth et al, VLSI 2012 (Intel 22nm Silicon) But.……HEMTs are not scalable SG-HEMT SG-HEMT Double gate is the only scalable option 50 Multi-Gate III-V FET In0.53Ga0.47As Channel Au/Pd Barrier QW Barrier 40nm High-k InP In0.52Al0.48As In0.7Ga0.3As δ-doping In0.52Al0.48As In0.52Al0.48As Buffer InP Substrate High-k Strained In0.7Ga0.3As QW M. Radosavljevic et al, IEDM 2011 (Intel) D L. Lu, S. Datta et al, IEDM 2010 (Penn St) III-V FinFET combining superior transport with acceptable short channel effects MULTI-GATE III-V FET Planar to multi-gate: 1. Side wall interface states (DIT): SS and Coulombic scattering 2. Etch induced side wall roughness: scattering 3. Quantum confinement: m* change A V Thathachary et al, Nano Lett. 2014 51 SIDEWALL ROUGHNESS Side wall scattering dominates transport at lower fin width A V Thathachary et al, Nano Lett. 2014 III-V FF MOBILITY Gated Hall measurements show μ reduces with fin width for multi-gate III-V devices Rate of mobility roll-off depends on composition and channel architecture A V Thathachary et al, Nano Lett. 2014 52 INXGA1-XAS CHANNEL ARCHITECTURE 5 nm n+ In0.70Ga0.3As 10 nm n+ In0.53Ga0.47As 2nm InP 5 nm n++ In0.70Ga0.3As 5 nm n++ In0.70Ga0.3As 10 nm n+ In0.53Ga0.47As 10 nm n+ In0.53Ga0.47As 10 nm In0.53Ga0.47As 10 nm In0.70Ga0.3As In0.52Al0.48As Buffer In0.52Al0.48As Buffer InP InP 2nm InP 40 nm In0.53Ga0.47As In0.52Al0.48As Buffer InP 2nm InP n+ cap InP In0.53Ga0.47As Channel In0.7Ga0.3As QW In0.53Ga0.47As QW Three channel architectures chosen to study effect of In % change and confinement EFFECT OF VOLUME INVERSION WFin = 40nm WFin = 8nm In0.53Ga0.47As Bulk FinFET In0.53Ga0.47As QW FinFET In0.53Ga0.47As BulkFinFET In0.53Ga0.47As QWFinFET In0.7Ga0.3As QW FinFET In0.7Ga0.3As QWFinFET Majority inversion charge forms near the surface for In0.53Ga0.47As Bulk FinFET at higher overdrive Volume inversion expected to significantly improve QW channel performance 53 PROCESS FLOW Drain Channel Drain Source n+ cap channel Buffer S GATE D Source WFin Fin patterning n+ cap recess (wet etch) Drain Source 1nmAl2O3/2.5nmHfO2 Gate metal lift-off ALD High-k S/D contact REDUCING DIT: IN-SITU PLASMA NITRIDE PASSIVATION 3 min clean in10:1 Buffered HF + DI rinse In-situ plasma pre-clean and passivation @ 250C N2 plasma/TMA pulsing: 5 cycles + 10 cycles H2O pulsing Ni Gate 0.3 nm AlOxNy Interfacial layer In0.53Ga0.47As Channel 1nm Al2O3 + 2.5nm HfO2 grown @ 250C using Thermal ALD process 70nm thermal Nickel evaporation for gate metal 350C FGA for 20 mins 4nm Plasma AlOxNy passivation layer realized on InxGa1-xAs 54 PLANAR MOS CV Thermal ALD Plasma nitride passivation + thermal ALD CET of 1.3 nm measured at 1MHz Reduced frequency dispersion with FGA MULTI-FIN SPLIT CV MEASUREMENT CET of 1.4nm measured for multi-fin split CV structure 55 EQUIVALENT CIRCUIT MODEL Measured conductance and capacitance fitted iteratively using the equivalent circuit impedance Model self-consistently extracts distribution of DIT A . Ali et al, IEEE TED 2010 DIT : EQUIVALENT CIRCUIT MODEL Equivalent circuit method used to extract DIT 56 EXTRACTED DIT Mid-gap DIT reduced to 1012/cm2/eV Fin sidewall DIT higher in conduction band FINFET FABRICATON: XTEM Ni Gate 1μm 20nm In0.53Ga0.47As 38 nm In0.52Al0.48As Buffer 40 nm 120 nm 85 nm Chemical component of RIE enhanced Fin taper changed to 70ᵒ from 85ᵒ 57 High-k LONG CHANNEL FINFET PERFORMANCE Symbol: experiment Line: simulation Wfin = 40nm; LG = 1μm; 10 fins/μm SS improved from 180mV/dec to 100mV/dec DIT = 8x1012 estimated from calibrations and 2x1012 from equivalent circuit model OUTPUT CHARACTERISTICS Wfin = 40nm; LG = 1μm; 10 fins/μm Drive current increases with increasing In % and quantum confinement 58 FIN MOBILITY FinFET Channel Type Mobility [cm2/Vs] ns = 1x1012 cm-2 Bulk In0.53Ga0.47As 1500 QW In0.53Ga0.47As 2500 QW In0.7Ga0.3As 3600 Improved high-k interface with InxGa1-xAs allows acurate estimation of charge SHORT CHANNEL DEVICES: SEM S GATE GATE D S D LG LG = 120nm InxGa1-xAs channel n+ cap layer Ni S/D metal Short channel devices with gate recess opening down to 120nm realized 59 SHORT CHANNEL PERFORMANCE Symbol: experiment Line: simulation Wfin = 40nm; LG = 120nm; 10 fins/μm New gate stack implemented on short channel devices Significant improvement in SS from >200mV/dec to around 110mV/dec at Lg = 120nm OUTPUT CHARACTERISTICS Wfin = 40nm; LG = 120nm; 10 fins/μm Drive current measured at 75μA/fin at VG – VT = 0.6V for In0.7Ga0.3As QW FinFET 60 TRANSCONDUCTANCE FinFET Channel Type Peak gm [μS/μm] Bulk In0.53Ga0.47As 490 QW In0.53Ga0.47As 1012 QW In0.7Ga0.3As 1786 Peak gm normalized to 10 fins/μm Peak gm enhancement of 3.6x observed for QW In0.7Ga0.3As Slide 33 FinFET over bulk In0.53Ga0.47As FinFET SHORT CHANNEL SUMMARY ION @ VG – VT = 0.6V μA/μm SS VDS = 0.05V mV/dec gm peak DIBL In0.53Ga0.47As Bulk 250 105 0.490 221 In0.53Ga0.47As QW In0.7Ga0.3As QW 405 117 1.012 103 760 114 1.786 106 61 mS/μm mV/V GM VS. SS BENCHMARKING [1] C Auth et al, VLSI 2012 (Intel) [2] M Radosavljevic et al, IEDM 2011 (Intel) [3] T W kim et al, IEDM 2013 (sematech) [4] S H Kim et al, IEDM 2013 [5] JJ Gu et al, IEDM 2012 [6] J Lin et al, IEDM 2012 [7] S W Chang et al, IEDM 2013 (TSMC) Q factor improves with higher In % and quantum confinement Q = 15 measured for In0.7Ga0.3As QW FinFET GM VS. SS BENCHMARKING [1] C Auth et al, VLSI 2012 (Intel) [2] M Radosavljevic et al, IEDM 2011 (Intel) [3] T W kim et al, IEDM 2013 (sematech) [4] S H Kim et al, IEDM 2013 [5] JJ Gu et al, IEDM 2012 [6] J Lin et al, IEDM 2012 [7] S W Chang et al, IEDM 2013 (TSMC) Q factor improves with higher In % and quantum confinement Q = 15 measured for In0.7Ga0.3As QW FinFET 62 GM VS. SS BENCHMARKING G. Doornbos, M. Passlack IEEE EDL 2010 Q factor improves with higher In % and quantum confinement Q = 15 measured for In0.7Ga0.3As QW FinFET [1] C Auth et al, VLSI 2012 (Intel) [2] M Radosavljevic et al, IEDM 2011 (Intel) [3] T W kim et al, IEDM 2013 (sematech) [4] S H Kim et al, IEDM 2013 [5] JJ Gu et al, IEDM 2012 [6] J Lin et al, IEDM 2012 [7] S W Chang et al, IEDM 2013 (TSMC) INJECTION VELOCITY Vinj at virtual source extracted from simulations after calibration to experiments Vinj estimated at 1.4x107 cm/sec for In0.7Ga0.3As QW short channel FF at LG = 120nm Planar HEMT: D H Kim et al, IEDM 2009 (MIT) Si FF: C Auth et al, VLSI 2012 (Intel) 63 PROJECTION: 7NM NODE In0.53Ga0.47As Bulk In0.53Ga0.47As QW In0.7Ga0.3As QW 2.5x Silicon FinFET 20 ID [µA/fin] 15 10 7nm Tech. Node 5 LG=16nm WFIN=5nm 0 0.00 0.25 VG [V] VDS=0.5V 0.50 Drive current projected to be 2.5x higher for In0.7Ga0.3As QW FinFET compared to silicon FF at VDS = 0.5V and fixed IOFF = 1nA/fin Compound Semiconductor CMOS Challenge Integrate III-V layers on large Silicon wafers Develop reliable high-K dielectric compatible with III-V Determine PFET (Ge) to go with NFET Insertion at 7nm node or beyond. Meet LG < 15 nm and gate pitch less than 45nm with Wfin < 5nm III-V ballistic FETs will have to simultaneously meet multiple requirements to be serious contenders as replacement for today’s state of art strained Si, Hi-K/MG, Tri-Gate transistors 64 2D Channel Devices Low-Dimensional Systems for Device Applications J. Appenzeller Purdue University & Birck Nanotechnology Center West Lafayette, IN 47907 Conference Sponsors: ESSDERC 2015, September 14, 2015 - Tutorial 1 Nano is not just small … Some general observations on the topic of Nano Electronics: Normally people hunt for high mobility values … … that is why carbon nanotubes and later graphene attracted so much attention! Nano Electronics seems to still mainly focus on field-effect transistors! Understanding the unique properties of transport in nanosystems is “less catchy”! 2 65 Nano is not just small … Material Bulk Mobility cm2/Vs Bandgap Effective Mass eV m*/mo GaN Si Ge 2,000 1,400 3,900 3.47 1.12 0.661 0.2 0.19 0.082 GaAs InGaAs InAs InSb 8,500 12,000 40,000 70,000 1.424 0.74 0.354 0.17 0.067 0.041 0.023 0.014 graphene 100,000 0 0 ( The numbers above are approximations that describe the trend - I do not claim them to be exact! ) 3 Nano is not just small … effective mass band gap (off-state) mobility (on-state) carrier concentration (on-state) 4 66 Nano is not just small … Geometric screening and Schottky barriers 5 Geometric screening డమ థ ௫ǡ௬ డ௫ మ + డమ థ ௫ǡ௬ డ௬ మ =- ఘ ఌ್ ߶ Note that: ߶ = ߶ ொೄ ೣ y ߶ and assume: x డథ ௫ǡ௬ డ௬ |y=0 = 0 ߶ ݔǡ ݕൌ ܥ ݔ+ ܥଵ ݔήy + ܥଶ ݔή ݕଶ ߝௗ௬ ή ܧௌ = ܳௌ డథ ௫ǡ௬ డ௬ డమ థ ௫ǡ௬ డ௬ మ ൌ ܥଵ ݔ+ ʹܥଶ ݔή y = ʹܥଶ ݔή y ൌ ʹܥଶ ݔ 6 67 Geometric screening �� � ��� �� � �� � ��� �� � + � =- ����� �� Note that: ��� ∙ �� ��� ��� ����� ∙ = �� and �� ��� |� � �� � ���� �� ��� |� � �� � ���� ����� |y=0 = 0 � �� � � � �� � + �� � ∙y + �� � ∙ � � = �� ∙ x �� ��� �� assume: ��� = y �� �� ��� �� �� ��� �� � ��� �� � � � �� � + ��� � ∙ y = ��� � ∙ y � ��� � ��� 7 Geometric screening �� � ��� �� � �� � ��� �� � + �� ��� |� � �� � ���� = ��� � ∙ ����� = �� � ��� �� � �� �� �� � - = ��� ����� �� ��� �� ��� ����� ��� ����� ∙ � =- ����� ∙ ∙ �� �� ��� ��� �� ��� ��� ��� �∙������ =- � ����� assume: �� � ��� �� � with 68 x �� ��� �� |y=0 = 0 � �� � � � �� � + �� � ∙y + �� � ∙ � � �� ��� �� �� ��� y �� � � �� � + ��� � ∙ y = ��� � ∙ y � ��� � ���� � ����� ∙ ��� ∙ ����� ��� 8 Geometric screening Another way to see the relevance of for device scaling ��� ∙ �� � �� �∙��� ��� > ����� ∙ ��� > � ���� � ����� ∙ ��� ∙ �∙����� ��� screening in bulk: ����� ����� � ��� ��� ∙ ��� ∙ ����� ��� 9 Geometric screening Another way to see the relevance of for device scaling Consider: tox=5nm, body=12, and ox=4: ���� � ����� ∙ ��� ∙ tbody=1nm ����� ����� � ��� ��� ∙ ��� ∙ ����� ��� ND�1�18cm‐3 WDM�25nm UTB � 4nm BULK � 20nm UTB materials allow for aggressive channel length scaling! 69 10 Schottky barrier diodes A simplified picture … Assuming a perfect contact from the source and no significant scattering contribution from the channel 11 Schottky barrier diodes A simplified picture … Two back-to-back diodes result in “source limited” carrier injection for large Vd and non-linear Id-Vd characteristics for small Vd 70 12 Schottky barrier diodes A simplified picture … ����� Tunneling through SBs was ignored since BULK is too large ����� � ��� ∙ ��� ∙ ����� ��� 13 Schottky barrier diodes A simplified picture … to illustrate the difference between BULK and UTB for device applications Tunneling through SBs is the distinguishing aspect in nano-devices since UTB is frequently very small! ���� � ����� ∙ ��� ∙ ����� ����� ����� � ��� 71 ��� ∙ ��� ∙ ����� ��� 14 Schottky barrier diodes A simplified picture … to illustrate the difference between BULK and UTB for device applications ߣ் Tunneling through Vgs-dependent SBs is the distinguishing aspect in nano-devices since UTB is frequently very small! 15 Schottky barrier diodes Strong tunneling currents create linear output characteristics! This is NOT an “Ohmic contact” since the transmission through the “tunneling” SB is gate voltage dependent! ߣ BULK ߣ் UTB 16 72 Schottky barrier field-effect transistors Simulated output characteristics of a ballistic UTB SB-FET Carbon Nanotube (CN) Field-Effect Transistor (FET) 17 Schottky barrier field-effect transistors Experimental output characteristics of an SB-MoS2FET! -2 10 (mA/m) DS I 0.3 L = 200nm -4 10 -6 10 VDS = 0.2 V to 1.0 V Step 0.2 V -8 10 VGS = 1.0 V to 5.0 V step 0.5 V -8 -7 -6 V -5 GS (V) -4 -3 I tox = 20nm -2 tMoS2 = 8nm 0.2 0.15 DS (mA/m) 0.25 T = 300K 0.1 0.05 0 0 Sc - contacts 0.5 1 V DS (V) 1.5 2 2.5 planar gated 18 73 Schottky barrier field-effect transistors Simulated subthreshold characteristics of an UTB SB-FET Carbon Nanotube (CN) Field-Effect Transistor (FET) 19 Schottky barrier field-effect transistors Experimental subthreshold characteristics of an SB-CNFET L = 300nm tox = 10nm tCN = 1.8nm T = 300K Ti - contacts planar gated 20 74 Schottky barrier field-effect transistors Simulated subthreshold characteristics of an n-CNFET Carbon Nanotube (CN) Field-Effect Transistor (FET) 21 Schottky barrier field-effect transistors Understanding the impact of the SB on the inverse subthreshold slope: 22 75 Schottky barrier field-effect transistors Understanding the impact of the SB on the inverse subthreshold slope: S|�0 � � �� � � ln 10 S�∝ ���� ∝ ���� � ��� ∙ ����� ����� ∙ ��� ∙ ����� ��� 23 Schottky barrier field-effect transistors Understanding the impact of the SB on the inverse subthreshold slope: S|�0 � � �� � � ln 10 S�∝ ���� ∝ ���� � 76 ��� ∙ ����� ����� ∙ ��� ∙ ����� ��� 24 Schottky barrier field-effect transistors Understanding the impact of the SB on the inverse subthreshold slope: S|�0 � � �� � � ln 10 The voltage range over which the SB-regime occurs remains (almost) unaffected by the value of ! 25 Schottky barrier field-effect transistors The inverse subthreshold slope also contains information about the SB height! SB SB The SB height information is hidden in the voltage difference between VFB and Vth! 26 77 Schottky barrier field-effect transistors The inverse subthreshold slope also contains information about the SB height! SB Smaller SB-values result in a smaller tunneling-current-impacted gate voltage window! SB The inverse subthreshold slope does not change with SB! 27 Schottky barrier field-effect transistors The inverse subthreshold slope also contains information about the SB height! SB In reality the entire inverse subthreshold slope – including the thermal branch – is often also impacted by interface traps, making the identification of VFB difficult! 78 SB 28 Schottky barrier field-effect transistors The inverse subthreshold slope also contains information about the SB height! thermal emission thermal assisted tunneling However, the actual SB-value can be determined from the temperature SB dependence of the inverse subthreshold slope since the T-dependences of the thermal and the SB-regime are distinctly different! 29 Schottky barrier field-effect transistors Procedure for SB extraction: + Measure Id-Vgs as function of temperature 30 79 Schottky barrier field-effect transistors Procedure for SB extraction: + Measure Id-Vgs as function of temperature + Create gate voltage dependent Arrhenius plots 31 Schottky barrier field-effect transistors Procedure for SB extraction: + Measure Id-Vgs as function of temperature + Create gate voltage dependent Arrhenius plots + Extract “apparent” barrier versus gate voltage assuming thermal emission theory 32 80 Schottky barrier field-effect transistors Procedure for SB extraction: + Measure Id-Vgs as function of temperature + Create gate voltage dependent Arrhenius plots + Extract “apparent” barrier versus gate voltage assuming thermal emission theory + Determine the “real” SB-height at VFB SB J. Appenzeller et al., PRL 92, 048301 (2004). 33 Nano is not just small … An example: SB-FETs from MoS2 S. Das et al., Nano Letters 13, 100 (2013). 34 81 SB-FETs – MoS2 35 SB-FETs – MoS2 Various contact types to MoS2 The metal work function does not entirely determine the Fermi-level line-up to MoS2 36 82 SB-FETs – MoS2 Fermi-level pinning in MoS2 dSB/dM ~ 0.1 Rc-Sc ൎ 500 m for tox=5nm Si with silicide: 150 -m 37 Nano is not just small … Data extraction using an analytical SB-model 38 83 Schottky barrier field-effect transistors But the Schottky barrier height cannot always be extracted in this way: 39 SB-FETs – WSe2 10 0 10 -2 10 -4 Pd Contact LCH = 1.0µm WCH = 1.0µm V V I DS (A/m) But the Schottky barrier height cannot always be extracted in this way: V 10 -6 -8 10 -40 V V WSe2 -30 -20 V -10 V 0 GS (V) 10 20 DS DS DS DS DS DS = -1.0 V = -0.6 V = -0.2 V = 0.2 V = 0.6 V = 1.0 V 30 40 40 84 SB-FETs – WSe2 10 0 10 -2 10 -4 Pd Contact LCH = 1.0µm WCH = 1.0µm V V I DS (A/m) But the Schottky barrier height cannot always be extracted in this way … V 10 -6 -8 V V WSe2 10 -40 -30 -20 V -10 V 0 GS (V) 10 20 DS DS DS DS DS DS = -1.0 V = -0.6 V = -0.2 V = 0.2 V = 0.6 V = 1.0 V 30 40 … then more complete simulations are required to extract band gap and Schottky barrier information … 41 An analytical SB model Example “electron current”: � �� � � � �� � � � � � � � � ���� dE �� � � �� �� � � �� ��� ∗ � � �� ��� �� �� ���� � � ��� � � � � �� �� � � � 1 ��� ∗ �� � � � � 42 85 An analytical SB model The impact of the Schottky barrier height on the on/offcurrent ratio: For the same Eg, an apparently smaller on/off-current ratio is obtained for a Fermi level alignment closer to midgap! 43 An analytical SB model The impact of the geometric screening length on the transfer characteristics of SB-FETs: The smaller , the more symmetric ambipolar device characteristics occur independent of the SB-height! 44 86 Schottky barrier field-effect transistors Related Publications (presenter’s choice): 1) J. Appenzeller et al., Field-modulated carrier transport in carbon nanotube transistors, PRL 89, 126801 (2002). 2) J. Knoch et al., Impact of the channel thickness on the performance of Schottky barrier metal-oxide-semiconductor field-effect transistors, APL 81, 3082 (2002). 3) Z. Chen et al., The role of metal-nanotube contact in the performance of carbon nanotube field-effect transistors, Nano Letters 5, 1497 (2005). 4) J. Knoch et al., Physics of ultrathin-body silicon-on-insulator Schottkybarrier field-effect transistors, Appl. Phys. A 87, 351 (2007). 5) S. Das et al., High performance multilayer MoS2 transistors with scandium contacts, Nano Letters 13, 100 (2013). 45 Nano is not just small … The tunneling fieldeffect transistor (TFET) 46 87 The quantum capacitance In addition to the geometric screening length , also the density of states in low-dimensional nanostructures can be substantially different from conventional materials! Cox Cq Qtot Ctot e g Cox Cq Cox g Cox Cq 0 f Cq e { Qtot 0f Cox Cq Cox Cq : 0f 0 Cq Cox : 0f g 47 The quantum capacitance Cox g Cox Cq 0 f { Cox Cq : 0f 0 Cq Cox : 0f g + Since Cq can be very small in 1D structures, FETs become band rather than charge controlled devices! (even in the on-state) + SB devices are frequently found to operate in the quantum capacitance limit (QCL)! 48 88 The tunneling field-effect transistor Combining the advantages of low-dimensional systems: + Ultra-thin body UTB thin tunneling barrier + Operation in the quantum capacitance limit one-to-one band movement Develop a device concept that makes use of the intrinsic properties of low-dimensional systems! 49 The tunneling field-effect transistor Simulated gate voltage response of a T-CNFET p i n The device on-state involves band-to-band tunneling! 50 89 The tunneling field-effect transistor Simulated gate voltage response of a T-CNFET p i n The device on-state involves band-to-band tunneling! 51 Nano is not just small … Thank you! 52 90