Hall Coefficient in an Interacting Electron Gas

Details Hall Coefficient in an Interacting Electron Gas Hall Coefficient in an Interacting Electron Gas

2002-12-30

arxiv.org/abs/cond-mat/0212628v2

Phys. Rev. B 68, 155114 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 15 figures

Scientific paper

10.1103/PhysRevB.68.155114

The Hall conductivity in a weak homogeneous magnetic field, $\omega_{c}\tau \ll 1$, is calculated. We have shown that to leading order in $1/\epsilon_{F}\tau$ 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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