Weak anti-localization of two-dimensional holes in germanium beyond the diffusive regime
Abstract
Gate-controllable spin-orbit coupling is often one requisite for spintronic devices. For practical spin field-effect transistors, another essential requirement is ballistic spin transport, where the spin precession length is shorter than the mean free path such that the gate-controlled spin precession is not randomized by disorder. In this letter, we report the observation of a gate-induced crossover from weak localization to weak anti-localization in the magneto-resistance of a high-mobility twodimensional hole gas in a strained germanium quantum well. From the magneto-resistance, we extract the phase-coherence time, spin-orbit precession time, spin-orbit energy splitting, and cubic Rashba coefficient over a wide density range. The mobility and the mean free path increase with increasing hole density, while the spin precession length decreases due to increasingly stronger spin-orbit coupling. As the density becomes larger than , 6 x 1011cm-2, the spin precession length becomes shorter than the mean free path, and the system enters the ballistic spin transport regime. We also report here the numerical methods and code developed for calculating the magnetoresistance in the ballistic regime, where the commonly used HLN and ILP models for analyzing weak localization and anti-localization are not valid. These results pave the way toward siliconcompatible spintronic devices.
- Authors:
-
- National Taiwan Univ., Taipei (Taiwan)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- National Taiwan Univ., Taipei (Taiwan); National Nano Device Labs., Hsinchu (Taiwan)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1477314
- Alternate Identifier(s):
- OSTI ID: 1474007
- Report Number(s):
- SAND-2018-10483J
Journal ID: ISSN 2040-3364; 668122
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nanoscale
- Additional Journal Information:
- Journal Volume: 10; Journal Issue: 44; Journal ID: ISSN 2040-3364
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Chou, C. -T., Jacobson, N. T., Moussa, J. E., Baczewski, A. D., Chuang, Y., Liu, C. -Y., Li, J. -Y., and Lu, T. M. Weak anti-localization of two-dimensional holes in germanium beyond the diffusive regime. United States: N. p., 2018.
Web. doi:10.1039/C8NR05677C.
Chou, C. -T., Jacobson, N. T., Moussa, J. E., Baczewski, A. D., Chuang, Y., Liu, C. -Y., Li, J. -Y., & Lu, T. M. Weak anti-localization of two-dimensional holes in germanium beyond the diffusive regime. United States. https://doi.org/10.1039/C8NR05677C
Chou, C. -T., Jacobson, N. T., Moussa, J. E., Baczewski, A. D., Chuang, Y., Liu, C. -Y., Li, J. -Y., and Lu, T. M. Tue .
"Weak anti-localization of two-dimensional holes in germanium beyond the diffusive regime". United States. https://doi.org/10.1039/C8NR05677C. https://www.osti.gov/servlets/purl/1477314.
@article{osti_1477314,
title = {Weak anti-localization of two-dimensional holes in germanium beyond the diffusive regime},
author = {Chou, C. -T. and Jacobson, N. T. and Moussa, J. E. and Baczewski, A. D. and Chuang, Y. and Liu, C. -Y. and Li, J. -Y. and Lu, T. M.},
abstractNote = {Gate-controllable spin-orbit coupling is often one requisite for spintronic devices. For practical spin field-effect transistors, another essential requirement is ballistic spin transport, where the spin precession length is shorter than the mean free path such that the gate-controlled spin precession is not randomized by disorder. In this letter, we report the observation of a gate-induced crossover from weak localization to weak anti-localization in the magneto-resistance of a high-mobility twodimensional hole gas in a strained germanium quantum well. From the magneto-resistance, we extract the phase-coherence time, spin-orbit precession time, spin-orbit energy splitting, and cubic Rashba coefficient over a wide density range. The mobility and the mean free path increase with increasing hole density, while the spin precession length decreases due to increasingly stronger spin-orbit coupling. As the density becomes larger than , 6 x 1011cm-2, the spin precession length becomes shorter than the mean free path, and the system enters the ballistic spin transport regime. We also report here the numerical methods and code developed for calculating the magnetoresistance in the ballistic regime, where the commonly used HLN and ILP models for analyzing weak localization and anti-localization are not valid. These results pave the way toward siliconcompatible spintronic devices.},
doi = {10.1039/C8NR05677C},
journal = {Nanoscale},
number = 44,
volume = 10,
place = {United States},
year = {Tue Sep 18 00:00:00 EDT 2018},
month = {Tue Sep 18 00:00:00 EDT 2018}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Spin-orbit interaction in a two-dimensional electron gas in a InAs/AlSb quantum well with gate-controlled electron density
journal, May 1998
- Heida, J. P.; van Wees, B. J.; Kuipers, J. J.
- Physical Review B, Vol. 57, Issue 19
Rashba Spin-Orbit Coupling Probed by the Weak Antilocalization Analysis in Quantum Wells as a Function of Quantum Well Asymmetry
journal, July 2002
- Koga, Takaaki; Nitta, Junsaku; Akazaki, Tatsushi
- Physical Review Letters, Vol. 89, Issue 4
Narrow heavy-hole cyclotron resonances split by the cubic Rashba spin-orbit interaction in strained germanium quantum wells
journal, July 2015
- Failla, M.; Myronov, M.; Morrison, C.
- Physical Review B, Vol. 92, Issue 4
The Effect of Spin Splitting on the Metallic Behavior of a Two-Dimensional System
journal, March 1999
- Papadakis, S. J.
- Science, Vol. 283, Issue 5410
Observation of Rashba zero-field spin splitting in a strained germanium 2D hole gas
journal, November 2014
- Morrison, C.; Wiśniewski, P.; Rhead, S. D.
- Applied Physics Letters, Vol. 105, Issue 18
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010
- Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S.
- Physical Review Letters, Vol. 105, Issue 7
Spin-orbit interaction in InSb nanowires
journal, May 2015
- van Weperen, I.; Tarasinski, B.; Eeltink, D.
- Physical Review B, Vol. 91, Issue 20
All-electric quantum point contact spin-polarizer
journal, September 2009
- Debray, P.; Rahman, S. M. S.; Wan, J.
- Nature Nanotechnology, Vol. 4, Issue 11
Quantum Spin Hall Effect in Graphene
journal, November 2005
- Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 95, Issue 22
Spin orientation of holes in quantum wells
journal, October 2008
- Winkler, R.; Culcer, Dimitrie; Papadakis, S. J.
- Semiconductor Science and Technology, Vol. 23, Issue 11
Large Rashba Splitting in InAs Quantum Wells due to Electron Wave Function Penetration into the Barrier Layers
journal, June 2000
- Grundler, Dirk
- Physical Review Letters, Vol. 84, Issue 26
Observation of spin precession in GaAs inversion layers using antilocalization
journal, January 1992
- Dresselhaus, P. D.; Papavassiliou, C. M. A.; Wheeler, R. G.
- Physical Review Letters, Vol. 68, Issue 1
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
journal, February 1980
- Hikami, S.; Larkin, A. I.; Nagaoka, Y.
- Progress of Theoretical Physics, Vol. 63, Issue 2
Electronic analog of the electro‐optic modulator
journal, February 1990
- Datta, Supriyo; Das, Biswajit
- Applied Physics Letters, Vol. 56, Issue 7
Anomalous Rashba spin splitting in two-dimensional hole systems
journal, March 2002
- Winkler, R.; Noh, H.; Tutuc, E.
- Physical Review B, Vol. 65, Issue 15
Experimental Evidence of Cubic Rashba Effect in an Inversion-Symmetric Oxide
journal, May 2012
- Nakamura, H.; Koga, T.; Kimura, T.
- Physical Review Letters, Vol. 108, Issue 20
Strong spin-orbit interactions and weak antilocalization in carbon-doped -type heterostructures
journal, March 2008
- Grbić, Boris; Leturcq, Renaud; Ihn, Thomas
- Physical Review B, Vol. 77, Issue 12
Anomalous spin precession and spin Hall effect in semiconductor quantum wells
journal, July 2013
- Bi, Xintao; He, Peiru; Hankiewicz, E. M.
- Physical Review B, Vol. 88, Issue 3
Spin--Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems
book, January 2003
- Winkler, Roland; Höhler, Gerhard; Kühn, Johann H.
- Springer Tracts in Modern Physics, Vol. 191
Hole weak anti-localization in a strained-Ge surface quantum well
journal, August 2017
- Mizokuchi, R.; Torresani, P.; Maurand, R.
- Applied Physics Letters, Vol. 111, Issue 6
Negative differential Rashba effect in two-dimensional hole systems
journal, October 2004
- Habib, B.; Tutuc, E.; Melinte, S.
- Applied Physics Letters, Vol. 85, Issue 15
Cubic Rashba Spin-Orbit Interaction of a Two-Dimensional Hole Gas in a Strained- Quantum Well
journal, August 2014
- Moriya, Rai; Sawano, Kentarou; Hoshi, Yusuke
- Physical Review Letters, Vol. 113, Issue 8
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
journal, January 2010
- Sau, Jay D.; Lutchyn, Roman M.; Tewari, Sumanta
- Physical Review Letters, Vol. 104, Issue 4
Experimental Observation of the Spin-Hall Effect in a Two-Dimensional Spin-Orbit Coupled Semiconductor System
journal, February 2005
- Wunderlich, J.; Kaestner, B.; Sinova, J.
- Physical Review Letters, Vol. 94, Issue 4
Nonmonotonically tunable Rashba spin-orbit coupling by multiple-band filling control in -based interfacial -electron gases
journal, August 2015
- Liang, Haixing; Cheng, Long; Wei, Laiming
- Physical Review B, Vol. 92, Issue 7
Majorana fermions in a tunable semiconductor device
journal, March 2010
- Alicea, Jason
- Physical Review B, Vol. 81, Issue 12
Tunable Spin-Splitting and Spin-Resolved Ballistic Transport in GaAs/AlGaAs Two-Dimensional Holes
journal, August 1998
- Lu, J. P.; Yau, J. B.; Shukla, S. P.
- Physical Review Letters, Vol. 81, Issue 6
Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport
journal, February 2003
- Miller, J. B.; Zumbühl, D. M.; Marcus, C. M.
- Physical Review Letters, Vol. 90, Issue 7
Theory of interface roughness scattering in quantum wells
journal, July 1998
- Penner, U.; Rücker, H.; Yassievich, I. N.
- Semiconductor Science and Technology, Vol. 13, Issue 7
Gate Control of Spin-Orbit Interaction in an Inverted I G As/I A As Heterostructure
journal, February 1997
- Nitta, Junsaku; Akazaki, Tatsushi; Takayanagi, Hideaki
- Physical Review Letters, Vol. 78, Issue 7
Gate-Controlled Spin-Orbit Interaction in a Parabolic Quantum Well
journal, July 2009
- Studer, M.; Salis, G.; Ensslin, K.
- Physical Review Letters, Vol. 103, Issue 2
Nondiffusive weak localization in two-dimensional systems with spin-orbit splitting of the spectrum
journal, October 2006
- Glazov, M. M.; Golub, L. E.
- Semiconductors, Vol. 40, Issue 10
Effects of surface tunneling of two-dimensional hole gases in undoped Ge/GeSi heterostructures
journal, September 2017
- Su, Yi-Hsin; Chuang, Yen; Liu, Chia-You
- Physical Review Materials, Vol. 1, Issue 4
All-electric all-semiconductor spin field-effect transistors
journal, December 2014
- Chuang, Pojen; Ho, Sheng-Chin; Smith, L. W.
- Nature Nanotechnology, Vol. 10, Issue 1
Control of Spin Precession in a Spin-Injected Field Effect Transistor
journal, September 2009
- Koo, H. C.; Kwon, J. H.; Eom, J.
- Science, Vol. 325, Issue 5947
Spin-Filter Device Based on the Rashba Effect Using a Nonmagnetic Resonant Tunneling Diode
journal, March 2002
- Koga, Takaaki; Nitta, Junsaku; Takayanagi, Hideaki
- Physical Review Letters, Vol. 88, Issue 12
Spin-Transistor Electronics: An Overview and Outlook
journal, December 2010
- Sugahara, Satoshi; Nitta, Junsaku
- Proceedings of the IEEE, Vol. 98, Issue 12
Spin hall Effect
journal, April 2006
- Schliemann, John
- International Journal of Modern Physics B, Vol. 20, Issue 09
Cubic Rashba Spin-Orbit Interaction of a Two-Dimensional Hole Gas in a Strained-Ge/SiGe Quantum Well
text, January 2014
- Moriya, Rai; Sawano, Kentarou; Hoshi, Yusuke
- Universität Regensburg
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
text, January 2010
- Lutchyn, Roman M.; Sau, Jay D.; Sarma, S. Das
- arXiv
Anomalous Rashba spin splitting in two-dimensional hole systems
text, January 2001
- Winkler, R.; Noh, H.; Tutuc, E.
- arXiv
Negative differential Rashba effect in two-dimensional hole systems
text, January 2004
- Habib, B.; Tutuc, E.; Melinte, S.
- arXiv
Works referencing / citing this record:
Single and double hole quantum dots in strained Ge/SiGe quantum wells
journal, March 2019
- Hardy, Will J.; Harris, C. Thomas; Su, Yi-Hsin
- Nanotechnology, Vol. 30, Issue 21
Single and Double Hole Quantum Dots in Strained Ge/SiGe Quantum Wells
text, January 2018
- Hardy, Will J.; Harris, C. Thomas; Su, Yi-Hsin
- arXiv
Figures / Tables found in this record: