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|
|Pages (from-to)||395101 - 395110|
|Number of pages||10|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Volume||41, number 39|
|Publication status||Published - Oct 2008|