Naomichi Hatano
Published 1998-01-27Version 1
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.
Comments: An invited talk at StatPhys-Taipei1997 (August 1997, Taiwan). To be published in Physica A: Statistical and Mathematical Physics. 18 pages with 9 eps files embedded
Journal: Physica A 254 (1998) 317-331.
Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics and spiked random matrices: pinning and localization
Dynamics of ion channels via non-Hermitian quantum mechanics
Growth of a vortex polycrystal in type II superconductors
