Weak localization in disordered systems at the ballistic limit

Weak localization in disordered systems at the ballistic limit
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无序系统在弹道极限下的弱局域化

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
O. Agam
O. Agam
中科院分区:
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文献类型:
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作者:
Assaf Ater;O. Agam

文献摘要

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计算了二维无序导体的弱局域化对二能级关联函数R(ensuremath{omega})的贡献。我们的分析延伸到非扩散(弹道)制度,弹性平均路径的顺序系统的大小。在这种情况下,结构因子$S(t)$ [$R(ensuremath{omega})的傅立叶变换]$表现出由叠加在平滑正背景上的倾角组成的奇异行为。最强的下降出现在周期的周期性轨道的基础清洁系统。有些较弱的奇异性出现的时候,是两个这样的轨道的周期之和。结果阐明了弹道混沌系统的弱局域化物理的各个方面。
The weak localization contribution to the two-level correlation function $R(ensuremath{omega})$ 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 $S(t)$ [the Fourier transform of $R(ensuremath{omega})]$ 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 that are sums of periods of two such orbits. The results elucidate various aspects of the weak-localization physics of ballistic chaotic systems.