Journal
PHYSICS LETTERS A
Volume 384, Issue 15, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2020.126298
Keywords
Level spacing ratios; Anderson localization; Localization-delocalization transitions
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Funding
- National Natural Science Foundation of China [11504179, 11705097, 61271238, 61475075]
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How to distinguish localized and delocalized states is a challenging and important problem in the theory of Anderson localization. For this reason, we explore energy-resolved average relative level spacing ratios < R-(k)> for a single electron in the one-dimensional uniform potential model, Anderson model, Aubry-Andre-Harper model and slowly varying potential model, respectively. The orders k = 1, 2 and 3 are considered. Numerical results show that < R-(1)> < < R-(2)> < < R-(3)> for delocalized states, while < R-(1)> is maximal for localized states. Therefore, level spacing ratios can be used as a fruitful index to monitor localization-delocalization transitions. (C) 2020 Elsevier B.V. All rights reserved.
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