Disorder-induced critical phenomena--new universality classes in Anderson localization

P. W. Brouwer; A. Furusaki; C. Mudry; S. Ryu

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Disorder-induced critical phenomena--new universality classes in Anderson localization

P. W. Brouwer·A. Furusaki·C. Mudry·S. Ryu

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Abstract

The Anderson metal-insulator transition is a continuous phase transition driven by disorder. It remains a challenging problem to theoretically determine universal critical properties at the transition. The Anderson transition in a model with a discrete sublattice or particle-hole symmetry belongs to one of seven universality classes which are different from the three well-known standard ones. Here we review our recent theoretical work on these new universality classes in (quasi) one and two dimensions.

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P. W. Brouwer, A. Furusaki, C. Mudry, S. Ryu. 2006-03-08. Disorder-induced critical phenomena--new universality classes in Anderson localization. https://arxiv.org/abs/cond-mat/0511622

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