Thursday, July 18, 2013

1307.4483 (Keith Slevin et al.)

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

Keith Slevin, Tomi Ohtsuki
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.
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