A new model of quantum chaotic billiards: Spectral Statistics and Wavefunctions in 2D
chao-dyn
2009-10-28 v1 Condensed Matter
Chaotic Dynamics
Abstract
Quantum chaotic dynamics is obtained for a tight-binding model in which the energies of the atomic levels at the boundary sites are chosen at random. Results for the square lattice indicate that the energy spectrum shows a complex behavior with regions that obey the Wigner-Dyson statistics and localized and quasi-ideal states distributed according to Poisson statistics. Although the averaged spatial extension of the eigenstates in the present model scales with the size of the system as in the Gaussian Orthogonal Ensemble, the fluctuations are much larger.
Cite
@article{arxiv.chao-dyn/9607021,
title = {A new model of quantum chaotic billiards: Spectral Statistics and Wavefunctions in 2D},
author = {E. Cuevas and E. Louis and J. A. Verges},
journal= {arXiv preprint arXiv:chao-dyn/9607021},
year = {2009}
}
Comments
4 twocolumnn pages in revtex style, 4 postscript figures, to be published in PRL, send comments to [email protected]