Delocalization in coupled one-dimensional chains

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, $\epsilon =0$, 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.

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

References in corpus (4)

• Random-Matrix Theory of Quantum Transport
• Non-Hermitean Random Matrix Theory: method of hermitization
• Delocalization Transition via Supersymmetry in one Dimension
• Feynman's Propagator Applied to Network Models of Localization

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