Device Research Conference, June 19, 2012 Regrown Ohmic Contacts to InxGa1-xAs Approaching the Quantum Conductivity Limit Jeremy J.
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Device Research Conference, June 19, 2012 Regrown Ohmic Contacts to InxGa1-xAs Approaching the Quantum Conductivity Limit Jeremy J. M. Law,a,b Andy D . Carter,a Sanghoon Lee,a Arthur C. Gossard,a,b and Mark J. W. Rodwella a) Department of Electrical and Computer Engineering, University of California, Santa Barbara b) Materials Department, University of California, Santa Barbara Outline • Motivation • Ballistic FET Current and TLM Quantum Conductance • Process Flow • Sample Structures − Regrowth TLM (RGTLM) − Transmission Line Measurement (TLM) • Results − Metal-semiconductor (TLM) − Metal-semiconductor and semiconductor-channel (RGTLM) • Theory Comparison • Conclusion 2 Motivation Unmetalized Source/Drain Ungated Channel Metal–Source/Drain Source/Drain–Channel • Two interfaces of interest – Metal–regrowth interface – Regrowth–channel interface • Sheet resistance of regrowth • Sheet resistance of ungated region • Must ascertain contribution to overall access resistance from all of above 3 FET Ballistic Current = TLM Quantum Conductance • Fundamental limits to contact resistance to a two-dimensional channel? • Quantum limited contact resistance1, 2 equivalent to ballistic transconductance ( charge density µ Ef - Ec ( velocity µ Ef - Ec ( µ (V ) 4 3 2 - Ef .d - Ec 3 2 gs 1 th current µ Ef ,d + qdV - Ec 12 ) ( - V ) - (V current µ Ef ,s - Ec ( ) 1 gd - Vth ) ) ( µ dV × Ef ,s - Ec 3 2 3 2 ) ) - (E 3 2 12 ( ) conductivity µ ( carrier density ) µ dV × carrier density P. M. Solomon et al., IEDM Tech. Dig., 1989, p. 405; 2 J Guo et al., IEEE Elec. Dev. Lett. 33, 525 (2012). 12 12 f ,d - Ec ) 3 2 Regrowth TLM (RGTLM) Process Flow • Understand source (regrowth) to channel interface • Rudimentary process flow • Approximates FET structure and process flow – Independent of high-k properties • Four-point Kelvin measurement 5 Epi growth Dummy Pillar Definition Regrowth Planarization Isolation S/D Metalization TLM Process Flow • Understand metal to source (regrowth) interface • Rudimentary process flow • Can be done on same die as RGTLM • Four-point Kelvin measurement 6 Epi growth Regrowth Isolation S/D Metalization Sample Structures: TLM InAs RG on d–doped 25 nm In0.53Ga0.47As channel InAs RG on d–doped 15 nm InAs channel 7 InAs RG on 100 nm n+ In0.53Ga0.47As channel In0.53Ga0.47As → InAs RG on 100 nm n+ In0.53Ga0.47As channel TLM Results InAs RG on d–doped 25 nm In0.53Ga0.47As channel Slope: 23.8 W; Intercept/2: 2.1 W–mm InAs RG on d–doped 15 nm InAs channel 8 Slope: 19.3 W; Intercept/2: 3.0 W–mm InAs RG on 100 nm n+ In0.53Ga0.47As channel Slope: 7.4 W; Intercept/2: 4.6 W–mm In0.53Ga0.47As → InAs RG on 100 nm n+ In0.53Ga0.47As channel Slope: 11.3 W; Intercept/2: 3.0 W–mm Sample Structures: RGTLM 9 InAs RG on d–doped 25 nm In0.53Ga0.47As channel InAs RG on 100 nm n+ In0.53Ga0.47As channel InAs RG on d–doped 15 nm InAs channel In0.53Ga0.47As → InAs RG on 100 nm n+ In0.53Ga0.47As channel Regrowth TLM Results InAs RG on d–doped 25 nm In0.53Ga0.47As channel Slope: 540 W; Intercept/2: 120.8 W–mm InAs RG on d– doped 15 nm InAs channel 10 Slope: 269 W; Intercept/2: 68.2 W–mm InAs RG on 100 nm n+ In0.53Ga0.47As channel Slope: 32 W; Intercept/2: 55.6 W–mm In0.53Ga0.47As → InAs RG on 100 nm n+ In0.53Ga0.47As channel Slope: 15 W; Intercept/2: 12.7 W–mm Results Summary • Contact resistance to thin channels (small ns) limited by quantum conductance • Low contact resistance of 12.7 W–mm (11.1 W–mm2) • Contact resistance low ns channels 136.4 W–mm close to theoretical 80 W–mm N+ Regrowth Composition InAs InAs InAs In0.53Ga0.47As → InAs Thickness 60 nm 60 nm 60 nm 60 nm Doping 5-10×1019 cm-3 5-10×1019 cm-3 5-10×1019 cm-3 5-10×1019 cm-3 Sheet Resistivity 23.8 W 7.4 W 19.3 W 11.3 W Composition In0.53Ga0.47As In0.53Ga0.47As InAs In0.53Ga0.47As Thickness 25 nm 100 nm 15 nm 100 nm Doping 9×1012 cm-2 3-5×1019 cm-3 9×1012 cm-2 3-5×1019 cm-3 Sheet Resistivity 540 W 32 W 269 W 15 W 120.8 W-mm 55.6 W-mm 68.2 W-mm 12.7 W-mm 4.6 W-mm 1.5 W-mm2 3.0 W-mm 0.4 W-mm2 3.0 W-mm 0.8 W-mm2 Channel Access Resistivity Metal/Regrowth Contact Resistivity 2.1 W-mm 0.2 W-mm2 Conclusion • Ballistic FET current equivalent to quantum conductance of TLM • Should not add to FET contact resistance • Material independent, i.e. true for all semiconductor materials • Metal–regrowth contact resistance is small portion of overall Rc – ~ 3.0 W–mm (1.0 W–mm2) • Regrown ohmic contacts (136 W–mm) within a factor of 2 of theoretical 80 W–mm • 12.7 W–mm (11.1 W–mm2) is true measure of interface properties – This includes regrowth to channel and metal to regrowth 12 Backup slides MBE Regrowth by Migration Enhance Epitaxy (MEE) InAs Quasi MEE In, As, and Si shutters open As shutter open InGaAs Quasi MEE In, Ga, As, and Si shutters open 14 As shutter open MBE Regrowth: Close to 2-D Quantum conductivity Limit: Unidirecti onal 2D density of states : cdos,1 q 2 gm* / 2 2 Charge density in left - moving states : s1 cdos,1V f 1 Red States : charge moving in x direction; left to right Leftward - moving Fermi Velocity : E f 1 qV f 1 m*v 2f 1 / 2 v f 1 2qV f 1 / m* Blue States : charge moving in - x direction; right to left Mean leftward electron v elocity : v1 (4 / 3 )v f 1 (4 / 3 ) 2qV f 1 / m Energies taken relative to conduction band minimum in 2 - D channel. * Leftward current : J1 s1 v1 cdos,1V f 1 (4 / 3 ) 2qV f 1 / m* 4 2q Total current : J cdos,1 V f31/ 2 - V f32/ 2 * 3 m 4 2q 3 1 / 2 Conductivity G J / V f cdos,1 V f * 3 m 2 q 2 21/ 2 1/ 2 Gvalley 3 / 2 ns ,valley including spin degeneracy. Total conductivi ty found by summing over valle ys and vertical eigenstates UCSB regrowth resistance measuremen ts are being limited by this effect 15