Hikami boxes and the Sinai billiard

Details Hikami boxes and the Sinai billiard Hikami boxes and the Sinai billiard

1998-12-21

arxiv.org/abs/cond-mat/9812337v1

Physics

Condensed Matter

4 pages, see also http://www.weizmann.ac.il/~fndaniil/ann/goe4lanl.ps

Scientific paper

Diagram, known in theory of the Anderson localization as the Hikami box, is computed for the Sinai billiard. This interference effect is mostly important for trajectories tangent to the opening of the billiard. This diagram is universal at low frequencies, because of the particle number conservation law. An independent parameter, which we call phase volume of diffraction, determines the corresponding frequency range. This result suggests that level statistics of a generic chaotic system is not universal.

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