Localization transitions in non-Hermitian quantum mechanics

1996/03/26 by Naomichi Hatano, David R. Nelson · 10 citations
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevlett.77.570

published as published in Phys. Rev. Lett. 77, 570-573 (1996) · 4 pages (latex) with 3 figures (epsf) embedded in the text using the style file epsf.sty

arxiv created 1996/03/26 · arxiv updated 2016/08/31

Abstract

We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schrödinger 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.

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