Localization transitions in non-Hermitian quantum mechanics

Details Localization transitions in non-Hermitian quantum mechanics Localization transitions in non-Hermitian quantum mechanics

1996-03-26

arxiv.org/abs/cond-mat/9603165v1

published in Phys. Rev. Lett. 77, 570-573 (1996)

Physics

Condensed Matter

4 pages (latex) with 3 figures (epsf) embedded in the text using the style file epsf.sty

Scientific paper

10.1103/PhysRevLett.77.570

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.

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