Localization transitions in non-Hermitian quantum mechanics

Preprint

26 March 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9603165

Abstract

We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schr\"odinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth at the transition.

Keywords

LOCALIZATION TRANSITIONS
INTEGRAL FORMULATION
QUANTUM MECHANICAL
HERMITIAN QUANTUM
ODINGER EQUATION
MEISSNER EFFECT
SUPERCONDUCTORS
TRANSITIONS

All Related Versions

Version 1, 1996-03-26, ArXiv
Published version: Physical Review Letters, 77 (3), 570.

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