Non-hermitian localization and delocalization

Research output: Contribution to journalArticlepeer-review

Abstract

We study localization and delocalization in a class of non-Hermitian Hamiltonians inspired by the problem of vortex pinning in superconductors. In various simplified models we are able to obtain analytic descriptions, in particular, of the nonperturbative emergence of a forked structure (the appearance of “wings”) in the density of states. We calculate how the localization length diverges at the localization-delocalization transition. We map some versions of this problem onto a random walker problem in two dimensions. For a certain model, we find an intricate structure in its density of states.

Original languageEnglish
Pages (from-to)6433-6443
Number of pages11
JournalPhysical Review E
Volume59
Issue number6
DOIs
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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