A Non-Hermitean Particle in a Disordered World

Abstract

There has been much recent work on the spectrum of the random non-hermitean Hamiltonian which models the physics of vortex line pinning in superconductors. This note is loosely based on the talk I gave at the conference "New Directions in Statistical Physics" held in Taipei, August 1997. We describe here new results in spatial dimensions higher than one. We also give an expression for the spectrum within the WKB approximation.

latex file, 23 pages, 7 .ps figures

References in corpus (3)

• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Quantum Disordered Systems with a Direction
• Non-Hermitean De-Localization: Multiple Scattering and Bounds

Cited by in corpus (7)

• Non-Hermitian Delocalization and Eigenfunctions
• Density of states in the non-hermitian Lloyd model
• "Single Ring Theorem" and the Disk-Annulus Phase Transition
• Localization in non-Hermitian quantum mechanics and flux-line pinning in superconductors
• Topological enhancement of non-normality in non-Hermitian skin effects
• Non-Hermitean Random Matrix Theory: Summation of Planar Diagrams, the "Single-Ring" Theorem and the Disk-Annulus Phase Transition
• Hatano-Nelson model with a periodic potential