Anomalous Magnetoresistance of the Electron Gas in a Restricted Geometry

Kastner, M. A.; Sb, Field; Jc, Licini; Sl, Park

doi:10.1103/physrevlett.60.2535

Cited by 24 publications

(1 citation statement)

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“…In order to relate our theoretical results to experiment [24][25][26] it is necessary to consider not only the diagonal conductivity element σ xx , but also σ xy . To compare with experiment one must therefore either determine σ xy theoretically or compare our calculated σ xx to simultaneous measurements of ρ xx and ρ xy .…”

Section: Discussionmentioning

confidence: 99%

Magnetoconductivity of quantum wires with elastic and inelastic scattering

1993

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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.

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Section: Discussionmentioning

confidence: 99%