From Quantum Disorder to Quantum Chaos

被引:0
作者
I. V. Gornyi
A. D. Mirlin
机构
[1] Forschungszentrum Karlsruhe,Institut für Nanotechnologie
[2] Universität Karlsruhe,Institut für Theorie der Kondensierten Materie
来源
Journal of Low Temperature Physics | 2002年 / 126卷
关键词
Wave Function; Periodic Orbit; Magnetic Material; Free Path; Lyapunov Exponent;
D O I
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中图分类号
学科分类号
摘要
We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic σ-model approach. We analyze conditions of applicability of the σ-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the σ-model and by the trace formula.
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页码:1339 / 1354
页数:15
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