Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition
Author(s) -
Hideaki Obuse,
Kousuke Yakubo
Publication year - 2005
Publication title -
journal of the physical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.76
H-Index - 139
eISSN - 1347-4073
pISSN - 0031-9015
DOI - 10.1143/jpsjs.74s.242
Subject(s) - multifractal system , physics , statistical physics , anderson localization , critical exponent , renormalization group , condensed matter physics , critical point (mathematics) , symplectic geometry , universality (dynamical systems) , amplitude , fractal , phase transition , quantum mechanics , geometry , mathematics , mathematical analysis
We study spatial structures of anomalously localized states (ALS) in tailregions at the critical point of the Anderson transition in the two-dimensionalsymplectic class. In order to examine tail structures of ALS, we apply themultifractal analysis only for the tail region of ALS and compare with thewhole structure. It is found that the amplitude distribution in the tail regionof ALS is multifractal and values of exponents characterizing multifractalityare the same with those for typical multifractal wavefunctions in thisuniversality class.Comment: 4 pages, 4 figure
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