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Metal-insulator transition in a ternary model with long range correlated disorder

Esmailpour, A ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2007/09/P09014
  3. Publisher: 2007
  4. Abstract:
  5. We study the metal-insulator transition of the one-dimensional diagonal Anderson ternary model with long range correlated disorder. The starting point of the model corresponds to a ternary alloy (i.e. with three possible on-site energies), and shows a metal-insulator transition when the random distribution of site energies is assumed to have a power spectrum S(k) ∝ 1/k (2α-1). In this paper, we define a purity parameter for the ternary alloy which adjusts the occupancy probability of site potentials, and for any given α we calculate the critical purity parameter for which extended states are obtained. In this way, we show that the ternary alloy requires weaker correlations than the binary alloy to present a phase transition from localized to extended states. A phase diagram which separates the extended regime from the localized one for the ternary alloy is presented, obtained as the critical purity parameter in terms of the corresponding correlation exponent. © IOP Publishing Ltd
  6. Keywords:
  7. Anderson model (theory) ; Disordered systems (theory)
  8. Source: Journal of Statistical Mechanics: Theory and Experiment ; Issue 9 , 2007 ; 17425468 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1742-5468/2007/09/P09014/meta?casa_token=UssaJu-p89QAAAAA:wWTfB7lTpG3RJHLGPeDpWdCRYasQQBXXey2uZsw1z5tDCUm3O1m6yFoK2fwZUETlinOAEf5X2Lz4aA