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Localization in non-Hermitian quantum mechanics and flux-line pinning in superconductors

A recent development in studies of random non-Hermitian quantum systems is reviewed. Delocalization was found to occur under a sufficiently large constant imaginary vector potential even in one and two dimensions. The phenomenon has a physical realization as flux-line depinning in type-II superconductors. Relations between the delocalization transition and the complex energy spectrum of the non-Hermitian systems are described. Analytical and numerical results obtained for a non-Hermitian Anderson model are shown.

preprint1998arXivOpen access
Naomichi Hatano
cond-mat.stat-mechcond-mat.dis-nn
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Naomichi Hatano

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