Coherent `ab' and `c' transport theory of high-$T_c$ cuprates

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 $L{a}_{2-x}S{r}_{x}Cu{O}_4$ 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.

12 pages, Latex, 3 figures available upon request

References in corpus (1)

• Model of C-Axis Resistivity of High-$\Tc$ Cuprates

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