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Transport properties in the d-density-wave state in an external magnetic field: The Wiedemann-Franz law

S. G. Sharapov·V. P. Gusynin·H. Beck
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Abstract

We derive the electrical and thermal conductivities of the $d$-density-wave state in an external magnetic field $B$ in the low-temperature regime and in the presence of impurities. We show that in the zero-temperature limit, $T \to 0$, the Wiedemann-Franz (WF) law remains intact irrespectively of the value of the applied field and chemical potential $μ$ as soon as there is a scattering from impurities. For finite $T \lesssim |μ|$ the WF law violation is possible and it is enhanced by the external field. Depending on the relative values of $B$ and $T$ the electrical conduction may dominate the heat conduction and vice versa. For $μ\gg T$ the WF is restored even in the presence of the external field.

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S. G. Sharapov, V. P. Gusynin, H. Beck. 2003-04-17. Transport properties in the d-density-wave state in an external magnetic field: The Wiedemann-Franz law. https://doi.org/10.1103/physrevb.67.144509

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