Non-Hermitean De-Localization: Multiple Scattering and Bounds
E. Brezin, A. Zee
TL;DR
This paper investigates localization phenomena in non-Hermitian Hamiltonians related to vortex pinning, incorporating multiple scattering effects and establishing bounds on the complex energy spectrum.
Contribution
It introduces a method to account for multiple scattering in non-Hermitian systems and derives bounds on their complex energy spectra, advancing understanding of localization in such models.
Findings
Multiple scattering significantly affects localization properties.
Derived bounds constrain the complex energy spectrum.
Insights applicable to vortex pinning in superconductors.
Abstract
We study localization and delocalization in a class of non-hermitean Hamiltonians inspired by the problem of vortex pinning in superconductors. We show how to take into account multiple scattering. We also obtain some bounds on the complex energy spectrum.
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