Suppression of localization in a two-leg ladder model with correlated binary disorder

Ai-Min Guo and Shi-Jie Xiong
Phys. Rev. B 83, 245108 – Published 17 June 2011

Abstract

We investigate the electronic properties of a two-leg ladder model by taking into account the combined effects of long-range correlations along the longitudinal direction and short-range correlations in the transverse direction. The strength of both correlations is measured by the correlation exponent α and by the interchain hopping integral λ, respectively. Within the framework of the tight-binding Hamiltonian, we calculate the density of states, the localization length, and the participation ratio. Our results indicate that the short-range correlations will induce a crossover from localization to delocalization in the side energy bands of the two-leg ladder with finite system size by increasing λ, and the long-range correlations will lead to a localization-delocalization transition by increasing α, while the electronic states in the central region are still localized. The two side energy bands will present truly delocalized states for α2.6 in the thermodynamic limit. Furthermore, the two-leg ladders of different types of short-range correlations will show quite different localization properties. The system with the pair correlations, where the on-site energies at the same longitudinal positions of two chains always have opposite values, exhibits a larger localization length in the side energy bands.

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  • Received 29 October 2010

DOI:https://doi.org/10.1103/PhysRevB.83.245108

©2011 American Physical Society

Authors & Affiliations

Ai-Min Guo1,2 and Shi-Jie Xiong1

  • 1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China
  • 2Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China

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Issue

Vol. 83, Iss. 24 — 15 June 2011

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