Magnetotransport along a quantum wire

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Abstract
Electrical transport is considered along a quantum wire in the presence of a perpendicular magnetic field at very low temperatures. The lateral confinement is assumed to be parabolic and the vertical one triangular. Impurity scattering (screened) and electron-electron interaction are treated self-consistently within the random-phase approximation. The current response is evaluated from the derived momentum-balance equation, which involves the nonequilibrium electron polarizability, in conjunction with a drifted-temperature model for the polarizability. The conductivity exhibits Shubnikov–de Haas oscillations. The degree of asymmetry of the latter, with respect to the peak position, and the shift of the peak relative to the corresponding one in the Fermi level, depend on the strength of the lateral confinement and on the temperature. The screening affects the amplitude of the conductivity but not the shape of the oscillations.