Volume 87, Number 3, August 2009
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||26 August 2009|
Universality of the Anderson transition with the quasiperiodic kicked rotor
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
Corresponding author: email@example.com
Accepted: 21 July 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 ν = 1.59±0.01 is in perfect agreement with the value found for the Anderson model.
PACS: 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
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