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Hall resistance and Lorenz ratio models in YBa2Cu3O7

Andrew Das Arulsamy
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Abstract

The 2D models of heat capacity, its conductivity ($κ$), Hall resistance ($R_H$) and the Lorenz ratio ($\mathcal{L}$) have been derived using the ionization energy ($E_I$) based Fermi-Dirac statistics (iFDS). These models reproduce the experimentally measured $ρ(T)$ and $R_H(T)$. The variation of $\mathcal{L}$ is proportional to 1/T due to electron-phonon ($e$-$ph$) scattering in $κ$. However, the $e$-$ph$ coupling in the electrical resistivity has the polaronic effect that complies with iFDS, rather than the $e$-$ph$ scattering that satisfies the Bloch-Grüneisen formula. These models are purely Fermi liquid and are not associated with any microscopic theories of high-Tc superconductors.

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Andrew Das Arulsamy. 2005-08-02. Hall resistance and Lorenz ratio models in YBa2Cu3O7. https://arxiv.org/abs/cond-mat/0408613

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