Universality in quantum chaos and the one parameter scaling theory

Details Universality in quantum chaos and the one parameter scaling theory Universality in quantum chaos and the one parameter scaling theory

2007-07-26

arxiv.org/abs/0707.3964v2

Phys. Rev. Lett. 100, 070603 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures, acknowledgment added, typos corrected

Scientific paper

10.1103/PhysRevLett.100.070603

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.

Affiliated with

Also associated with

No associations

Rating

Universality in quantum chaos and the one parameter scaling theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universality in quantum chaos and the one parameter scaling theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality in quantum chaos and the one parameter scaling theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40984