Loading...

Localization-delocalization transition in a one one-dimensional system with long-range correlated off-diagonal disorder

Cheraghchi, H ; Sharif University of Technology | 2005

637 Viewed
  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.72.174207
  3. Publisher: 2005
  4. Abstract:
  5. The localization behavior of the one-dimensional Anderson model with correlated and uncorrelated purely off-diagonal disorder is studied. Using the transfer matrix method, we derive an analytical expression for the localization length at the band center in terms of the pair correlation function. It is proved that for long-range correlated hopping disorder, a localization- delocalization transition occurs at the critical Hurst exponent Hc=1 2 when the variance of the logarithm of hopping "σln(t)" is kept fixed with system size N. Numerically, this transition can be expanded to the vicinity of the band center. Based on numerical calculations, finite-size scaling relations are postulated for the localization length near the band center (E≠0) in terms of the system parameters E,N,H, and σln(t). © 2005 The American Physical Society
  6. Keywords:
  8. Source: Physical Review B - Condensed Matter and Materials Physics ; Volume 72, Issue 17 , 2005 ; 10980121 (ISSN)
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.72.174207