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

Author

Listed:
  • Adbhut Gupta

    (Virginia Tech)

  • J. J. Heremans

    (Virginia Tech)

  • Gitansh Kataria

    (S-295
    Virginia Tech)

  • Mani Chandra

    (Rensselaer Polytechnic Institute)

  • S. Fallahi

    (Purdue University
    Purdue University)

  • G. C. Gardner

    (Purdue University
    Purdue University)

  • M. J. Manfra

    (Purdue University
    Purdue University
    Purdue University
    Purdue University)

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.

Suggested Citation

  • Adbhut Gupta & J. J. Heremans & Gitansh Kataria & Mani Chandra & S. Fallahi & G. C. Gardner & M. J. Manfra, 2021. "Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-25327-7
    DOI: 10.1038/s41467-021-25327-7
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