Weak localization in disordered systems at the ballistic limit

Details Weak localization in disordered systems at the ballistic limit Weak localization in disordered systems at the ballistic limit

2000-12-04

arxiv.org/abs/cond-mat/0012039v1

Phys. Rev. B 63, 205101 (2001).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 13 figures

Scientific paper

10.1103/PhysRevB.63.205101

The weak localization (WL) contribution to the two-level correlation function is calculated for two-dimensional disordered conductors. Our analysis extends to the nondiffusive (ballistic) regime, where the elastic mean path is of order of the size of the system. In this regime the structure factor (the Fourier transform of the two-point correlator) exhibits a singular behavior consisting of dips superimposed on a smooth positive background. The strongest dips appear at periods of the periodic orbits of the underlying clean system. Somewhat weaker singularities appear at times which are sums of periods of two such orbits. The results elucidate various aspects of the weak localization physics of ballistic chaotic systems.

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