Magnetotransport in lateral superlattices with small-angle impurity scattering: Low-field magnetoresistance

A. D. Mirlin, E. Tsitsishvili, and P. Wölfle
Phys. Rev. B 64, 125319 – Published 10 September 2001
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Abstract

An analytical study of the low-field magnetoresistance of a two-dimensional electron gas subject to a weak periodic modulation is presented. We assume the small-angle impurity scattering characteristic for high-mobility semiconductor heterostructures. It is shown that the condition for existence of the strong low-field magnetoresistance induced by so-called channeled orbits is η3/2ql1, where η and q are the strength and the wave vector of the modulation, and l is the transport mean free path. Under this condition, the amplitude of the magnetoresistance Δρ/ρ scales as η7/2(ql)2, while the modulation-induced correction to resistivity at zero magnetic field is of the order of η1/2.

  • Received 21 December 2000

DOI:https://doi.org/10.1103/PhysRevB.64.125319

©2001 American Physical Society

Authors & Affiliations

A. D. Mirlin1,2,*, E. Tsitsishvili2,3, and P. Wölfle1,2

  • 1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, D-76021 Karlsruhe, Germany
  • 2Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany
  • 3Institute of Cybernetics, Euli 5, 380086 Tbilisi, Georgia

  • *Also at St. Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.

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Vol. 64, Iss. 12 — 15 September 2001

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