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arXiv 0705.2337cond-mat.mes-hall
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量子输运经典极限中的普适参量关联

Universal parametric correlations in the classical limit of quantum transport

Piet W. Brouwer, Saar Rahav

摘要:

通过混沌弹道腔输运的量子修正是普遍存在的。这种普适性不仅适用于量子修正的大小,也适用于它们对外部参数的依赖性,例如费米能量或外加磁场。在这里,我们考虑这样的参数依赖的量子输运在弹道混沌腔中的半经典极限发送普朗克常数为零,而不改变经典动力学的开放腔。在这个限制量子校正示出具有普遍的参数依赖性,这是不描述的随机矩阵理论。

英文摘要:

Quantum corrections to transport through a chaotic ballistic cavity are known to be universal. The universality not only applies to the magnitude of quantum corrections, but also to their dependence on external parameters, such as the Fermi energy or an applied magnetic field. Here we consider such parameter dependence of quantum transport in a ballistic chaotic cavity in the semiclassical limit obtained by sending Planck's constant to zero without changing the classical dynamics of the open cavity. In this limit quantum corrections are shown to have a universal parametric dependence which is not described by random matrix theory.

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