Extended-localized transition for a tight-binding model with mass position dependence
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- July 2019
- DOI:
- 10.1016/j.physa.2019.03.115
- Bibcode:
- 2019PhyA..525..628S
- Keywords:
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- Extended-localized transition;
- Mobility edge