Multifractality of one electron eigen states in 1D disordered long range models

Rodrigo P.A Lima, Marcelo L Lyra and José C Cressoni

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 154-157

Abstract: One investigates the spatial structure of one-electron eigenstates for the one-dimensional Anderson model with long-range off-diagonal disorder hn,m=[−1,+1]/|n−m|δ where [a,b] means a uniform random distribution between a and b. Two cases are considered according to the choices for the on-site energy εn, namely, εn=0 and εn=[0,1]. For δ=1 all states are critical and the multifractal spectra f(α) is computed for the states near the center of the band. The level-spacing distribution function is also obtained and its behavior for both small and large separations are studied.

Keywords: Localization; Anderson transition; Multifractal (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:154-157

DOI: 10.1016/S0378-4371(01)00069-3

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