Semiclassical spectral correlator in quasi one-dimensional systems

P Braun, S Muller, F Haake

Research output: Contribution to journalArticle (Academic Journal)peer-review


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 contributionSemiclassical spectral corelator in quasi one-dimensional systems
Original languageEnglish
Pages (from-to)395101 - 395110
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Volume41, number 39
Publication statusPublished - Oct 2008


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