Universality of the Anderson transition with the quasiperiodic kicked rotor

Details Universality of the Anderson transition with the quasiperiodic kicked rotor Universality of the Anderson transition with the quasiperiodic kicked rotor

2009-04-15

arxiv.org/abs/0904.2324v2

EPL 87, 37007 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 figures, 3 tables (published version)

Scientific paper

10.1209/0295-5075/87/37007

We report a numerical analysis of the Anderson transition in a quantum-chaotic system, the quasiperiodic kicked rotor with three incommensurate frequencies. It is shown that this dynamical system exhibits the same critical phenomena as the truly random 3D-Anderson model. By taking proper account of systematic corrections to one-parameter scaling, the universality of the critical exponent is demonstrated. Our result $\nu = 1.59 \pm 0.01$ is in perfect agreement with the value found for the Anderson model.

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