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.
@article{arxiv.0810.5105,
title = {Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model},
author = {M. Ortuño and A. M. Somoza and J. T. Chalker},
journal= {arXiv preprint arXiv:0810.5105},
year = {2013}
}