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Interaction corrections to the Hall coefficient at intermediate temperatures

Gabor Zala·B. N. Narozhny·I. L. Aleiner
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Abstract

We investigate the effect of electron-electron interaction on the temperature dependence of the Hall coefficient of 2D electron gas at arbitrary relation between the temperature $T$ and the elastic mean-free time $τ$. At small temperature $Tτ\ll \hbar$ we reproduce the known relation between the logarithmic temperature dependences of the Hall coefficient and of the longitudinal conductivity. At higher temperatures, this relation is violated quite rapidly; correction to the Hall coefficient becomes $\propto 1/T$ whereas the longitudinal conductivity becomes linear in temperature.

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Gabor Zala, B. N. Narozhny, I. L. Aleiner. 2001-07-25. Interaction corrections to the Hall coefficient at intermediate temperatures. https://doi.org/10.1103/physrevb.64.201201

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