Large-disorder renormalization group study of the Anderson model of localization

Sonika Johri, R. N. Bhatt

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We describe a large-disorder renormalization group (LDRG) method for the Anderson model of localization in one dimension which decimates eigenstates based on the size of their wave functions rather than their energy. We show that our LDRG scheme flows to infinite disorder, and thus becomes asymptotically exact. We use it to obtain the disorder-averaged inverse participation ratio (IPR) and density of states (DOS) for the entire spectrum. A modified scheme is formulated for higher dimensions, which is found to be less efficient, but capable of improvement.

Original languageEnglish (US)
Article number060205
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number6
DOIs
StatePublished - Aug 29 2014

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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