Singular behavior of Anderson-localized wave functions for a two-site model

Sonika Johri, R. N. Bhatt

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We show analytically that the apparent nonanalyticity discovered recently in the inverse participation ratio (IPR) of the eigenstates in Anderson's model of localization is also present in a simple two-site model, along with a concurrent nonanalyticity in the density of states (DOS) at the same energy. We demonstrate its evolution from two sites to the thermodynamic limit by numerical methods. For the two-site model, nonanalyticity in higher derivatives of the DOS and IPR is also proven to exist for all bounded distributions of disorder.

Original languageEnglish (US)
Article number125140
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number12
DOIs
StatePublished - Sep 27 2012

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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