Localization Transitions from Free Random Variables

Simple item page
dc.creatorJanik, Romuald A.
dc.creatorNowak, Maciej A.
dc.creatorPapp, Gabor
dc.creatorZahed, Ismail
dc.date1997-05-11
dc.date.accessioned2026-07-07T03:09:03Z
dc.date.available2026-07-07T03:09:03Z
dc.descriptionWe motivate and use the concept of free random variables for the studies of the de-pinning transition of flux lines in superconductors as recently discussed by Hatano and Nelson. We derive analytical conditions for the critical points of the eigenvalue distribution in the complex plane for all values of the transverse magnetic field in one-dimension, in agreement with numerical calculations. We suggest a relation between reduced nonhermitean quantum mechanics in D-dimensions and nonhermitean random matrix models with weak nonhermiticity.
dc.description4 pages RevTeX with 5 EPS figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/9705098
dc.identifierhttp://arxiv.org/abs/cond-mat/9705098
dc.identifierActa Physica Polonica B30 (1999) 45.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27738
dc.subjectCondensed Matter
dc.titleLocalization Transitions from Free Random Variables
dc.typetext

Files

Collections

arXiv