# Coherent \`ab' and \`c' transport theory of high-$T\_{c}$ cuprates

Source: [Coherent \`ab' and \`c' transport theory of high-$T\_{c}$ cuprates](<https://www.sota2.com/research/paper/68fa24432c2a3760193a1b31>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:01:21.576Z

Authors: A.S. Alexandrov, V.V. Kabanov, N.F. Mott

Published: 1996-07-14T06:25:55.000Z

## Abstract

We propose a microscopic theory of the \`$c$'-axis and in-plane transport of copper oxides based on the bipolaron theory and the Boltzmann kinetics. The fundamental relationship between the anisotropy and the spin susceptibility is derived, $\\rho\_{c}(T,x)/\\rho\_{ab}(T,x)\\sim x/\\sqrt{T}\\chi\_{s}(T,x)$. The temperature $(T)$ and doping $(x)$ dependence of the in-plane, $\\rho\_{ab}$ and out-of-plane, $\\rho\_{c}$ resistivity and the spin susceptibility, $\\chi\_{s}$ are found in a remarkable agreement with the experimental data in underdoped, optimally and overdoped $La\_{2-x}Sr\_{x}CuO\_{4}$ for the entire temperature regime from $T\_{c}$ up to $800K$. The normal state gap is explained and its doping and temperature dependence is clarified.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9607098>)

[PDF](<https://arxiv.org/pdf/cond-mat/9607098.pdf>)