Localization Transitions in Non-Hermitian Quantum Mechanics

Naomichi Hatano and David R. Nelson
Phys. Rev. Lett. 77, 570 – Published 15 July 1996
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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, close to the depinning transition, the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth.

  • Received 15 March 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.570

©1996 American Physical Society

Authors & Affiliations

Naomichi Hatano and David R. Nelson

  • Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

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Issue

Vol. 77, Iss. 3 — 15 July 1996

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