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|Title:||Universality in quantum chaos and the one-parameter scaling theory||Authors:||García-García, A.M.
|Issue Date:||28-Feb-2008||Citation:||García-García, A.M., Wang, J. (2008-02-28). Universality in quantum chaos and the one-parameter scaling theory. Physical Review Letters 100 (7) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.100.070603||Abstract:||The one-parameter scaling theory is adapted to the context of quantum chaos. We define a generalized dimensionless conductance, g, semiclassically and then study Anderson localization corrections by renormalization group techniques. This analysis permits a characterization of the universality classes associated to a metal (g→), an insulator (g→0), and the metal-insulator transition (g→gc) in quantum chaos provided that the classical phase space is not mixed. According to our results the universality class related to the metallic limit includes all the systems in which the Bohigas-Giannoni-Schmit conjecture holds but automatically excludes those in which dynamical localization effects are important. The universality class related to the metal-insulator transition is characterized by classical superdiffusion or a fractal spectrum in low dimensions (d≤2). Several examples are discussed in detail. © 2008 The American Physical Society.||Source Title:||Physical Review Letters||URI:||http://scholarbank.nus.edu.sg/handle/10635/116670||ISSN:||00319007||DOI:||10.1103/PhysRevLett.100.070603|
|Appears in Collections:||Staff Publications|
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