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

Adbhut Gupta, J. J. Heremans (), Gitansh Kataria, Mani Chandra, S. Fallahi, G. C. Gardner and M. J. Manfra
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Adbhut Gupta: Virginia Tech
J. J. Heremans: Virginia Tech
Gitansh Kataria: S-295
Mani Chandra: Rensselaer Polytechnic Institute
S. Fallahi: Purdue University
G. C. Gardner: Purdue University
M. J. Manfra: Purdue University

Nature Communications, 2021, vol. 12, issue 1, 1-7

Abstract: Abstract 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.

Date: 2021
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DOI: 10.1038/s41467-021-25327-7

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