Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing

Gupta, Adbhut; Heremans, J. J.; Kataria, Gitansh; Chandra, Mani; Fallahi, S.; Gardner, G. C.; Manfra, M. J.

doi:10.1038/s41467-021-25327-7

Title: Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing

Journal Article · Thu Aug 19 00:00:00 EDT 2021 · Nature Communications

DOI:https://doi.org/10.1038/s41467-021-25327-7· OSTI ID:1849885

^[1];

^[2];

^[3]; Fallahi, S. ^[4]; Gardner, G. C. ^[5];

^[6]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Dept. of Physics
S-295, New Delhi, Delhi (India)
Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Materials Science and Engineering
Purdue Univ., West Lafayette, IN (United States). Dept. of Phyaiscs and Astronomy; Purdue Univ., West Lafayette, IN (United States). Birck Nanotechnology Center
Purdue Univ., West Lafayette, IN (United States). Birck Nanotechnology Center; Purdue Univ., West Lafayette, IN (United States). Microsoft Quantum Purdue
Purdue Univ., West Lafayette, IN (United States). Dept. of Phyaiscs and Astronomy; Purdue Univ., West Lafayette, IN (United States). Birck Nanotechnology Center; Purdue Univ., West Lafayette, IN (United States). Microsoft Quantum Purdue. 7 School of Electrical and Computer Engineering. School of Materials Engineering

Electron-electron (e-e) interactions assume a cardinal role in solid-state physics. Quantifying the e-e scattering length is hence critical. In this paper we show that the mesoscopic phenomenon of transverse magnetic focusing (TMF) in two-dimensional electron systems forms a precise and sensitive technique to measure this length scale. Conversely we quantitatively demonstrate that e-e scattering is the predominant effect limiting TMF amplitudes in high-mobility materials. Using high-resolution kinetic simulations, we show that the TMF amplitude at a maximum decays exponentially as a function of the e-e scattering length, which leads to a ready approach to extract this length from the measured TMF amplitudes. The approach is applied to measure the temperature-dependent e-e scattering length in high-mobility GaAs/AlGaAs heterostructures. The simulations further reveal current vortices that accompany the cyclotron orbits - a collective phenomenon counterintuitive to the ballistic transport underlying a TMF setting.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-08ER46532; SC0020138

OSTI ID:: 1849885

Journal Information:: Nature Communications, Vol. 12, Issue 1; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Control of electron-electron interaction in graphene by proximity screening Kim, M.; Xu, S. G.; Berdyugin, A. I. Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-15829-1	journal	May 2020
Transverse electron focusing as a way of studying surface crystallography Tsoi, V. S.; Bass, J.; Wyder, P. Advances in Physics, Vol. 41, Issue 4 https://doi.org/10.1080/00018739200101523	journal	August 1992
Coulomb scattering lifetime of a two-dimensional electron gas Zheng, Lian; Das Sarma, S. Physical Review B, Vol. 53, Issue 15 https://doi.org/10.1103/PhysRevB.53.9964	journal	April 1996
Lifetime of a quasiparticle in an electron liquid Qian, Zhixin; Vignale, Giovanni Physical Review B, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevB.71.075112	journal	February 2005
Hydrodynamics of electrons in graphene Lucas, Andrew; Fong, Kin Chung Journal of Physics: Condensed Matter, Vol. 30, Issue 5 https://doi.org/10.1088/1361-648X/aaa274	journal	January 2018
Finite temperature inelastic mean free path and quasiparticle lifetime in graphene Li, Qiuzi; Das Sarma, S. Physical Review B, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevB.87.085406	journal	February 2013
Hydrodynamic Effects in Solids at low Temperature Gurzhi, R. N. Soviet Physics Uspekhi, Vol. 11, Issue 2 https://doi.org/10.1070/PU1968v011n02ABEH003815	journal	February 1968
Hydrodynamic and ballistic AC transport in two-dimensional Fermi liquids Chandra, Mani; Kataria, Gitansh; Sahdev, Deshdeep Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/PhysRevB.99.165409	journal	April 2019
Effect of wire length on quantum coherence in InGaAs wires Xie, Yuantao; Heremans, J. J. Physical Review B, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevB.98.035429	journal	July 2018
Coherent electron focusing with quantum point contacts in a two-dimensional electron gas van Houten, H.; Beenakker, C. W. J.; Williamson, J. G. Physical Review B, Vol. 39, Issue 12 https://doi.org/10.1103/PhysRevB.39.8556	journal	April 1989
Magnetic electron focusing and tuning of the electron current with a pn-junction Milovanović, S. P.; Ramezani Masir, M.; Peeters, F. M. Journal of Applied Physics, Vol. 115, Issue 4 https://doi.org/10.1063/1.4863403	journal	January 2014
Viscous electron fluids Polini, Marco; Geim, Andre K. Physics Today, Vol. 73, Issue 6 https://doi.org/10.1063/PT.3.4497	journal	June 2020
Monte Carlo simulation of transverse electron focusing Hornsey, R. I. Journal of Applied Physics, Vol. 79, Issue 2 https://doi.org/10.1063/1.360829	journal	January 1996
Ballistic miniband conduction in a graphene superlattice Lee, M.; Wallbank, J. R.; Gallagher, P. Science, Vol. 353, Issue 6307 https://doi.org/10.1126/science.aaf1095	journal	September 2016
Lifetime of a quasiparticle in a two-dimensional electron gas Giuliani, Gabriele F.; Quinn, John J. Physical Review B, Vol. 26, Issue 8 https://doi.org/10.1103/PhysRevB.26.4421	journal	October 1982
Electrically tunable transverse magnetic focusing in graphene Taychatanapat, Thiti; Watanabe, Kenji; Taniguchi, Takashi Nature Physics, Vol. 9, Issue 4 https://doi.org/10.1038/nphys2549	journal	February 2013
Fluidity onset in graphene Bandurin, Denis A.; Shytov, Andrey V.; Levitov, Leonid S. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-07004-4	journal	October 2018
Electron focusing with multiparallel GaAs‐AlGaAs wires defined by damageless processing Nihey, F.; Nakamura, K.; Kuzuhara, M. Applied Physics Letters, Vol. 57, Issue 12 https://doi.org/10.1063/1.103489	journal	September 1990
Understanding magnetic focusing in graphene $p − n$ junctions through quantum modeling LaGasse, Samuel W.; Lee, Ji Ung Physical Review B, Vol. 95, Issue 15 https://doi.org/10.1103/PhysRevB.95.155433	journal	April 2017
Superballistic flow of viscous electron fluid through graphene constrictions Krishna Kumar, R.; Bandurin, D. A.; Pellegrino, F. M. D. Nature Physics, Vol. 13, Issue 12 https://doi.org/10.1038/nphys4240	journal	August 2017
Electron hydrodynamics dilemma: Whirlpools or no whirlpools Pellegrino, Francesco M. D.; Torre, Iacopo; Geim, Andre K. Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155414	journal	October 2016
Ballistic electron transport beyond 100 microm IN 2D electron systems Spector, J.; Stormer, H. L.; Baldwin, K. W. Surface Science, Vol. 228, Issue 1-3 https://doi.org/10.1016/0039-6028(90)90310-5	journal	April 1990
Observation of magnetic focusing in two‐dimensional hole systems Heremans, J. J.; Santos, M. B.; Shayegan, M. Applied Physics Letters, Vol. 61, Issue 14 https://doi.org/10.1063/1.108441	journal	October 1992
Spatially probed electron-electron scattering in a two-dimensional electron gas Jura, M. P.; Grobis, M.; Topinka, M. A. Physical Review B, Vol. 82, Issue 15 https://doi.org/10.1103/PhysRevB.82.155328	journal	October 2010
Interference and dephasing by electron-electron interaction on length scales shorter than the elastic mean free path Yacoby, A.; Sivan, U.; Umbach, C. P. Physical Review Letters, Vol. 66, Issue 14 https://doi.org/10.1103/PhysRevLett.66.1938	journal	April 1991
Spin-polarized reflection in a two-dimensional electron system Chen, Hong; Heremans, J. J.; Peters, J. A. Applied Physics Letters, Vol. 86, Issue 3 https://doi.org/10.1063/1.1849413	journal	January 2005
Particle Collisions and Negative Nonlocal Response of Ballistic Electrons Shytov, Andrey; Kong, Jian Feng; Falkovich, Gregory Physical Review Letters, Vol. 121, Issue 17 https://doi.org/10.1103/PhysRevLett.121.176805	journal	October 2018
Hydrodynamic Effects in Interacting Fermi Electron Jets Govorov, Alexander O.; Heremans, Jean J. Physical Review Letters, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevLett.92.026803	journal	January 2004
Magnetotransport along a boundary: from coherent electron focusing to edge channel transport Stegmann, T.; Wolf, D. E.; Lorke, A. New Journal of Physics, Vol. 15, Issue 11 https://doi.org/10.1088/1367-2630/15/11/113047	journal	November 2013
Boundary element method for electron transport in the presence of pointlike scatterers in magnetic fields Ueta, Tsuyoshi Physical Review B, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevB.60.8213	journal	September 1999
Electron-electron scattering probed by a collimated electron beam Molenkamp, L. W.; Brugmans, M. J. P.; Houten, H. van Semiconductor Science and Technology, Vol. 7, Issue 3B https://doi.org/10.1088/0268-1242/7/3B/054	journal	March 1992
Ballistic electron focusing by elliptic reflecting barriers Heremans, J. J.; von Molnár, S.; Awschalom, D. D. Applied Physics Letters, Vol. 74, Issue 9 https://doi.org/10.1063/1.123524	journal	March 1999
Recent experimental studies of electron dephasing in metal and semiconductor mesoscopic structures Lin, J. J.; Bird, J. P. Journal of Physics: Condensed Matter, Vol. 14, Issue 18 https://doi.org/10.1088/0953-8984/14/18/201	journal	April 2002
Hydrodynamic and Ballistic Transport over Large Length Scales in $GaAs / AlGaAs$ Gupta, Adbhut; Heremans, J. J.; Kataria, Gitansh Physical Review Letters, Vol. 126, Issue 7 https://doi.org/10.1103/PhysRevLett.126.076803	journal	February 2021
Electron viscosity, current vortices and negative nonlocal resistance in graphene Levitov, Leonid; Falkovich, Gregory Nature Physics, Vol. 12, Issue 7 https://doi.org/10.1038/nphys3667	journal	February 2016
Geometric Control of Universal Hydrodynamic Flow in a Two-Dimensional Electron Fluid Keser, Aydın Cem; Wang, Daisy Q.; Klochan, Oleh Physical Review X, Vol. 11, Issue 3 https://doi.org/10.1103/PhysRevX.11.031030	journal	August 2021
Transverse hot-electron focusing Hornsey, R. I.; Cleaver, J. R. A.; Ahmed, H. Physical Review B, Vol. 48, Issue 19 https://doi.org/10.1103/PhysRevB.48.14679	journal	November 1993
Scaling approach to tight-binding transport in realistic graphene devices: The case of transverse magnetic focusing Beconcini, M.; Valentini, S.; Kumar, R. Krishna Physical Review B, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevB.94.115441	journal	September 2016
Hot-electron spectrometry with quantum point contacts Williamson, J. G.; van Houten, H.; Beenakker, C. W. J. Physical Review B, Vol. 41, Issue 2 https://doi.org/10.1103/PhysRevB.41.1207	journal	January 1990
Lifetime of two-dimensional electrons measured by tunneling spectroscopy Murphy, S. Q.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review B, Vol. 52, Issue 20 https://doi.org/10.1103/PhysRevB.52.14825	journal	November 1995
Minibands in twisted bilayer graphene probed by magnetic focusing Berdyugin, A. I.; Tsim, B.; Kumaravadivel, P. Science Advances, Vol. 6, Issue 16 https://doi.org/10.1126/sciadv.aay7838	journal	April 2020
Elastic Electron Scattering in InSb-Type Semiconductors Zawadzki, W.; Szymańska, W. Physica Status Solidi (b), Vol. 45, Issue 2 https://doi.org/10.1002/pssb.2220450206	journal	June 1971
Sign reversal and tunable rectification in a ballistic nanojunction Hackens, B.; Gence, L.; Gustin, C. Applied Physics Letters, Vol. 85, Issue 19 https://doi.org/10.1063/1.1814803	journal	January 2004
Higher-than-ballistic conduction of viscous electron flows Guo, Haoyu; Ilseven, Ekin; Falkovich, Gregory Proceedings of the National Academy of Sciences, Vol. 114, Issue 12 https://doi.org/10.1073/pnas.1612181114	journal	March 2017
Negative resistance fluctuations at resistance minima in narrow quantum hall conductors Büttiker, M. Physical Review B, Vol. 38, Issue 17 https://doi.org/10.1103/physrevb.38.12724	journal	December 1988
Bend-resistance characteristics of macroscopic four-terminal devices with a high electron mobility Tarucha, S.; Saku, T.; Hirayama, Y. Physical Review B, Vol. 45, Issue 23 https://doi.org/10.1103/physrevb.45.13465	journal	June 1992
Hydrodynamic electron flow in high-mobility wires de Jong, M. J. M.; Molenkamp, L. W. Physical Review B, Vol. 51, Issue 19 https://doi.org/10.1103/physrevb.51.13389	journal	May 1995
Nonlocal transport and the hydrodynamic shear viscosity in graphene Torre, Iacopo; Tomadin, Andrea; Geim, Andre K. Physical Review B, Vol. 92, Issue 16 https://doi.org/10.1103/physrevb.92.165433	journal	October 2015
Electrically tunable transverse magnetic focusing in graphene Taychatanapat, Thiti; Watanabe, Kenji; Taniguchi, Takashi arXiv https://doi.org/10.48550/arxiv.1301.1969	text	January 2013
Negative local resistance caused by viscous electron backflow in graphene Bandurin, D. A.; Torre, I.; Kumar, R. Krishna arXiv https://doi.org/10.48550/arxiv.1509.04165	text	January 2015
Scaling approach to tight-binding transport in realistic graphene devices: the case of transverse magnetic focusing Beconcini, M.; Valentini, S.; Kumar, R. Krishna arXiv https://doi.org/10.48550/arxiv.1605.06924	text	January 2016
Hydrodynamic Electron Flow and Hall Viscosity Scaffidi, Thomas; Nandi, Nabhanila; Schmidt, Burkhard arXiv https://doi.org/10.48550/arxiv.1703.07325	text	January 2017

Similar Records

Hydrodynamic and Ballistic Transport over Large Length Scales in GaAs/AlGaAs

Journal Article · Thu Feb 18 00:00:00 EST 2021 · Physical Review Letters · OSTI ID:1849885

Gupta, Adbhut; Heremans, J. J.; Kataria, Gitansh; +4 more

Spin-Coherent Transport under Strong Spin-Orbit Interaction (Final Technical Report)

Technical Report · Tue Jun 01 00:00:00 EDT 2021 · OSTI ID:1849885

Heremans, Jean J.

Coherent backscattering in quasi-ballistic ultra-high mobility GaAs/AlGaAs 2DES

Journal Article · Tue Jul 03 00:00:00 EDT 2018 · Scientific Reports · OSTI ID:1849885

Samaraweera, R. L.; Liu, H. -C.; Gunawardana, B.; +4 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
Science & Technology - Other Topics
electronic and spintronic devices
electronic properties and materials

Title: Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing

Citation Formats

References (52)

Similar Records

Related Subjects