Magnetoconductivity of quantum wires with elastic and inelastic scattering

Henrik Bruus, Karsten Flensberg, Smith

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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.
Original languageEnglish
JournalPhysical Review B
Volume48
Issue number15
Pages (from-to)11144-11155
Number of pages12
ISSN2469-9950
DOIs
Publication statusPublished - 15 Oct 1993

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