Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model

Details Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model

2008-10-28

arxiv.org/abs/0810.5105v2

Phys. Rev. Lett. 102, 070603 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We study the disorder-induced localisation transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symmetry that the conductance and density of states can be expressed as averages in a classical system of dense, interacting random walks. Using this mapping, we present a more precise numerical study of critical behaviour at an Anderson transition than has been possible previously in any context.

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