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

Sonika Johri, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

10 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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