Is There a Unified Description of Conductivity of Layered Cuprates ?

Details Is There a Unified Description of Conductivity of Layered Cuprates ? Is There a Unified Description of Conductivity of Layered Cuprates ?

1999-08-16

arxiv.org/abs/cond-mat/9908233v2

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures. To be published in J. Low Temp. Phys. Proceedings of MOS-99, Stockholm. Prompted by inquiries from readers

Scientific paper

We present a novel approach to the analysis of the normal state in-plane $\sigma_{ab}$ and out-of-plane $\sigma_{c}$ conductivities of anisotropic layered crystals such as oxygen deficient $YBa_{2}Cu_{3}O_{x}$. It can be shown that the resistive anisotropy is determined by the ratio of the phase coherence lengths in the respective directions; i.e., $\sigma_{ab}/\sigma_c=\ell_{ab}^2/\ell_c^2$. From the idea that at all doping levels and temperatures $T$ the out-of-plane transport in these crystals is incoherent, follows that $\ell_c$ is T-independent, equal to the spacing $\ell_0$ between the neighboring bilayers. Thus, the T-dependence of $\ell_{ab}$ is given by the measured anisotropy, and $\sigma_{ab}(\ell_{ab})$ dependence is obtained by plotting $\sigma_{ab}$ vs $\ell=(\sigma_{ab}/\sigma_c)^{1/2}\ell_0$. The analysis of several single crystals of $YBa_{2}Cu_{3}O_{x}$ ($6.35

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