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Localization in the Anderson model with long-range correlated hopping and on-site disorders

Lotfallahzadeh, S ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1080/17455030.2014.954316
  3. Publisher: Taylor and Francis Ltd , 2015
  4. Abstract:
  5. We study the metal-insulator transition in one-dimensional Anderson binary alloy with long-range disordered hopping integrals and on-site energies using the transfer matrix method. In this model, the on-site energies and hopping integrals are distributed randomly with long-range correlations characterized by power spectrum of the type S(k)∝1/k(2α-1), with different exponents αε and αt, respectively. We determine the critical value of long-range correlation exponent of hopping integral in the presence of only off-diagonal disorder in which the transition from localized to extended states occurs in thermodynamic limit. When both of the on-site energies and hopping integrals are disordered, there are two parameters αt and αε that control the metal-insulator transition in the system. We draw the phase diagram which separates the localized regime from extended one and it shows the critical values of αt for a given value of αε
  6. Keywords:
  7. Large scale systems ; Transfer matrix method ; Anderson models ; Correlated hopping ; Critical value ; Hopping integrals ; Long range correlations ; Off-diagonal disorder ; On-site energy ; Thermodynamic limits ; Metal insulator transition
  8. Source: Waves in Random and Complex Media ; Volume 25, Issue 1 , Sep , 2015 , Pages 9-17 ; 17455030 (ISSN)
  9. URL: http://www.tandfonline.com/doi/full/10.1080/17455030.2014.954316