ne-dimensional Anderson model with dichotomic correlation


KAYA T.

EUROPEAN PHYSICAL JOURNAL B, vol.60, no.3, pp.313-318, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1140/epjb/e2007-00356-3
  • Journal Name: EUROPEAN PHYSICAL JOURNAL B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.313-318
  • Yıldız Technical University Affiliated: Yes

Abstract

A one-dimensional diagonal tight binding electronic system with dichotomic correlated disorder is investigated. The correlation of random potential exponentially decays with distance and also with the dichotomic correlation parameter lambda. Using a appropriate approximation, an analytical transmission coefficient expression is obtained. The obtained analytical expression is then tested against the result of the direct numerical computation of the average transmission coefficient < T > for the Anderson model, by changing the system parameters. In the thermodynamic limit the transmission coefficient relation indicates the absence of localization-delocalization transition, which is entirely consistent with numerical predictions.