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arXiv · 0810.5105

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

M. Ortuño·A. M. Somoza·J. T. Chalker
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Abstract

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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M. Ortuño, A. M. Somoza, J. T. Chalker. 2009-01-19. Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model. https://doi.org/10.1103/physrevlett.102.070603

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