Universality of the Anderson transition with the quasiperiodic kicked rotorG. Lemarié1, B. Grémaud1, 2 and D. Delande1
1 Laboratoire Kastler Brossel, UPMC, ENS, CNRS - 4 Place Jussieu, F-75005 Paris, France, EU
2 Centre for Quantum Technologies, National University of Singapore - 3 Science Drive 2, Singapore 117543, Singapore
received 15 April 2009; accepted in final form 21 July 2009; published August 2009
published online 26 August 2009
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 = 1.590.01 is in perfect agreement with the value found for the Anderson model.
72.15.Rn - Localization effects (Anderson or weak localization).
03.75.-b - Matter waves.
71.30.+h - Metal-insulator transitions and other electronic transitions.
© EPLA 2009