Abstract
We investigate the spectral statistics of chaotic clean quasi one-dimensional systems. To do so we represent the spectral correlation function R() through derivatives of a generating function and semiclassically approximate the latter in terms of periodic orbits. In contrast to previous work we obtain both non-oscillatory and oscillatory contributions to the correlation function. Both types of contributions are evaluated to leading order in 1/ for systems with and without time-reversal invariance. Our results agree with predictions from the nonlinear sigma model for disordered systems.
| Translated title of the contribution | Semiclassical spectral corelator in quasi one-dimensional systems |
|---|---|
| Original language | English |
| Pages (from-to) | 395101 - 395110 |
| Number of pages | 10 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 41, number 39 |
| DOIs | |
| Publication status | Published - Oct 2008 |