Extended-localized transition for a tight-binding model with mass position dependence

A.M.C. Souza and R.F.S. Andrade

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 628-634

Abstract: This work reports results for a tight-binding model with mass position dependence, for which localized-extended wave function transitions can be identified. We show that it is possible to control the density of localized and extended states by tuning the transition-related parameter for a continuous range of energy values. Mathematically exact results for extended or localized states are derived in two extreme conditions of this parameter, as well as an exact energy value for a mobility edge transition in the intermediate regime.

Keywords: Extended-localized transition; Mobility edge (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:628-634

DOI: 10.1016/j.physa.2019.03.115

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