Magnetoconductivity of quantum wires with elastic and inelastic scattering

Henrik Bruus, Karsten Flensberg, and Henrik Smith
Phys. Rev. B 48, 11144 – Published 15 October 1993
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Abstract

We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addtion to the magnetic field removes the degeneracy of the Landau levels and allows one to associate a group velocity with each single-particle state. The distribution function describing the occupation of these single-particle states satisfies a Boltzmann equation, which may be solved exactly in the case of impurity scattering. In the case where the electrons scatter against both phonons and impurities we solve numerically—and in certain limits analytically—the integral equation for the distribution function and determine the conductivity as a function of temperature and magnetic field. The magnetoconductivity exhibits a maximum at a temperature, which depends on the relative strength of the impurity and electron-phonon scattering and shows oscillations when the Fermi energy or the magnetic field is varied.

  • Received 16 March 1993

DOI:https://doi.org/10.1103/PhysRevB.48.11144

©1993 American Physical Society

Authors & Affiliations

Henrik Bruus

  • Applied Physics, Yale University, P.O. Box 2157, New Haven, Connecticult 06520

Karsten Flensberg

  • Nordita, Blegdamsvej 17, Copenhagen 2100 O/, Denmark

Henrik Smith

  • Niels Bohr Institute, O/rsted Laboratory, Universitetsparken 5, Copenhagen 2100 O/, Denmark

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Vol. 48, Iss. 15 — 15 October 1993

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