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We deduce the generic phase diagrams encoding the distinct localized and delocalized phases of noninteracting fermionic quasiparticle for any symmetry class from the tenfold way in one, two, and three dimensions. To this end, we start from a massive Dirac Hamiltonian perturbed by a generic disorder for any dimension of space and for any one of the ten symmetry classes from the tenfold way. The physics of Anderson localization is then encoded by a two-dimensional phase diagram that we deduce from the topology of the space of normalized Dirac masses.

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Christopher Mudry, Paul-Scherrer Institut
seminar room TP 0.03
Contact: not specified