Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model - Condensed Matter > Mesoscale and Nanoscale PhysicsReport as inadecuate




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Abstract: We study the disorder-induced localisation transition in a three-dimensionalnetwork model that belongs to symmetry class C. The model representsquasiparticle dynamics in a gapless spin-singlet superconductor withouttime-reversal invariance. It is a special feature of network models with thissymmetry that the conductance and density of states can be expressed asaverages in a classical system of dense, interacting random walks. Using thismapping, we present a more precise numerical study of critical behaviour at anAnderson transition than has been possible previously in any context.



Author: M. Ortuño, A. M. Somoza, J. T. Chalker

Source: https://arxiv.org/







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