Magnetoconductivity of quantum wires with elastic and inelastic scattering
Abstract
We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addition 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.
Keywords
Cite
@article{arxiv.cond-mat/9303028,
title = {Magnetoconductivity of quantum wires with elastic and inelastic scattering},
author = {Henrik Bruus and Karsten Flensberg and Henrik Smith},
journal= {arXiv preprint arXiv:cond-mat/9303028},
year = {2009}
}
Comments
21 pages (revtex 3.0), 5 postscript figures available upon request at [email protected] or [email protected]