Correlation-induced metal-insulator transition in the one-dimensional Anderson model

Francisco A.B.F. de Moura and Marcelo L. Lyra

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 465-470

Abstract: We study the nature of the electronic states in tight-binding one-dimensional models with long-range correlated disorder. In particular, we study both diagonal and off-diagonal chains. The energies are considered to be in such a sequency to describe the trace of a fractional Brownian motion with a specified spectral density S(k)∝1/kα. Using a renormalization group technique, we show that for random on-site energy sequences with anti-persistent increments (α<2) all energy eigenstates are exponentially localized. On the other hand, for on-site energy sequences with persistent increments (α>2), the Lyapunov coefficient (inverse localization length) vanishes within a finite range of energy values revealing the presence of an Anderson-like metal–insulator transition. In the case of off-diagonal disorder a phase of delocalized states becomes stable for any α>1.

Keywords: One-dimensional Anderson model; Metal–Insulator transition; Renormalization group method (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:465-470

DOI: 10.1016/S0378-4371(98)00632-3

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