Delocalization in coupled one-dimensional chains

Details Delocalization in coupled one-dimensional chains Delocalization in coupled one-dimensional chains

1998-07-13

arxiv.org/abs/cond-mat/9807189v1

Phys. Rev. Lett. 81, 862 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, RevTeX; 1 figure included; to appear in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.81.862

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, $\epsilon=0$, 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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