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arXiv · cond-mat/0312693

The anisotropic conductivity of two-dimensional electrons on a half-filled high Landau level

I. S. Burmistrov
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Abstract

We study the conductivity of two-dimensional interacting electrons on the half-filled $N$th Landau level with $N \gg 1$ in the presence of the quenched disorder. The existence of the unidirectional charge-density wave state at temperature $T<T_c$, where $T_c$ is the transition temperature, leads to the anisotropic conductivity tensor. We find that the leading anisotropic corrections are proportional to $(T_c-T)/T_c$ just below the transition in accordance with the experimental findings. Above $T_c$ the correlations corresponding to the unidirectional charge-density wave state below $T_c$ result in the corrections to the conductivity proportional to $\sqrt{T_c/(T-T_c)}$.

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I. S. Burmistrov. 2003-12-30. The anisotropic conductivity of two-dimensional electrons on a half-filled high Landau level. https://doi.org/10.1134/1.1738718

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