Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment

O. E. Raichev, G. M. Gusev, A. D. Levin, A. K. Bakarov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We develop a classical kinetic theory of magnetotransport of 2D electrons in narrow channels with partly diffusive boundary scattering and apply it to the description of magnetoresistance measured in the temperature interval 4.2-30 K in long mesoscopic bars fabricated from high-purity GaAs quantum well structures. Both experiment and theory demonstrate a number of characteristic features in the longitudinal and Hall resistances caused by the size effect in two dimensions owing to the high ballisticity of the transport. In addition to the features described previously, we also reveal a change in the slope of the first derivative of magnetoresistance when the cyclotron orbit diameter equals to half of the channel width. These features are suppressed with increasing temperature as a result of the electronic viscosity due to electron-electron interaction. By comparing theory and experiment, we determine the characteristic time of relaxation of angular distribution of electrons caused by electron-electron scattering.

Original languageEnglish
Article number235314
Number of pages13
JournalPhysical Review B
Volume101
Issue number23
DOIs
Publication statusPublished - 15 Jun 2020

Keywords

  • SCATTERING
  • LIFETIME

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