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Delocalization in coupled one-dimensional chains

P. W. Brouwer·C. Mudry·B. D. Simons·A. Altland
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Abstract

A weakly disordered quasi-one-dimensional tight-binding hopping model with $N$ rows is considered. The probability distribution of the Landauer conductance is calculated exactly in the middle of the band, $ε=0$, and it is shown that a delocalization transition at this energy takes place if and only if $N$ is odd. This even-odd effect is explained by level repulsion of the transmission eigenvalues.

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P. W. Brouwer, C. Mudry, B. D. Simons, A. Altland. 1998-07-13. Delocalization in coupled one-dimensional chains. https://doi.org/10.1103/physrevlett.81.862

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