Critical exponent for the Anderson transition in the three dimensional orthogonal universality class

Abstract

We report a careful finite size scaling study of the metal insulator transition in Anderson's model of localisation. We focus on the estimation of the critical exponent $\nu$ that describes the divergence of the localisation length. We verify the universality of this critical exponent for three different distributions of the random potential: box, normal and Cauchy. Our results for the critical exponent are consistent with the measured values obtained in experiments on the dynamical localisation transition in the quantum kicked rotor realised in a cold atomic gas.

Published version. New Journal of Physics, focus issue on 'Frontiers of disorder physics' edited by Maciej Lewenstein, Giovanni Modugno, Jörg Schmalian and Costas Soukoulis. Errata added as Appendix B to this version

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• Anderson Transitions
• Theoretical Studies of Superconductor-Insulator Transitions
• Critical exponent for the quantum Hall transition
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