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Hall Coefficient in an Interacting Electron Gas

M. Khodas·A. M. Finkel'stein
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Abstract

The Hall conductivity in a weak homogeneous magnetic field, $ω_{c}τ\ll 1$, is calculated. We have shown that to leading order in $1/ε_{F}τ$ the Hall coefficient $R_{H}$ is not renormalized by the electron-electron interaction. Our result explains the experimentally observed stability of the Hall coefficient in a dilute electron gas not too close to the metal-insulator transition. We avoid the currently used procedure that introduces an artificial spatial modulation of the magnetic field. The problem of the Hall effect is reformulated in a way such that the magnetic flux associated with the scattering process becomes the central element of the calculation.

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M. Khodas, A. M. Finkel'stein. 2004-01-18. Hall Coefficient in an Interacting Electron Gas. https://doi.org/10.1103/physrevb.68.155114

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