Anisotropic Quantum Transport in Layered High--$T_c$ Cuprates

Details Anisotropic Quantum Transport in Layered High--$T_c$ Cuprates Anisotropic Quantum Transport in Layered High--$T_c$ Cuprates

1997-08-22

arxiv.org/abs/cond-mat/9708184v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, revtex file, 3 postscript files, submitted to PRL

Scientific paper

A random lattice model with dilute interlayer bonds of density $p$ is proposed to describe the underdoped high--$T_c$ cuprates. We show analytically via an appropriate perturbation expansion and verify independently by numerical scaling of the conductance that for any finite $p$ the states remain extended in all directions, despite the presence of interlayer disorder. However, the obtained electronic transport is highly anisotropic with violent conductance fluctuations occuring in the layering direction, which can be responsible for the experimentally observed metallic "in-plane" and semiconducting "out-of-plane" resistivity of the cuprates.

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