1997/06/30 by Joshua Feinberg, A. Zee · 1 citation
Chemistry · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreve.59.6433
published as Phys.Rev. E59 (1999) 6433-6443 · 35 pages, 4 ps figures, Latex. The revisions made are: note added to Section 3, a new section added concerning continuum "one way" models, minor corrections made and comments added to section 6, references added and updated
arxiv created 1997/08/29 · openalex publication_date 1999/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.