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arXiv · 0707.3964

Universality in quantum chaos and the one parameter scaling theory

Antonio M. Garcia-Garcia·Jiao Wang
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Abstract

We adapt the one parameter scaling theory (OPT) to the context of quantum chaos. As a result we propose a more precise characterization of the universality classes associated to Wigner-Dyson and Poisson statistics which takes into account Anderson localization effects. Based also on the OPT we predict a new universality class in quantum chaos related to the metal-insulator transition and provide several examples. In low dimensions it is characterized by classical superdiffusion or a fractal spectrum, in higher dimensions it can also have a purely quantum origin as in the case of disordered systems. Our findings open the possibility of studying the metal insulator transition experimentally in a much broader type of systems.

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Antonio M. Garcia-Garcia, Jiao Wang. 2007-07-30. Universality in quantum chaos and the one parameter scaling theory. https://doi.org/10.1103/physrevlett.100.070603

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