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arXiv 0802.0290cond-mat.mes-hall
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非遍历介观系统

Non-Ergodic Mesoscopic Systems

P. Singha Deo

摘要:

假设有一个连接到单通道导线的介观系统。如果系统是非混沌或非遍历的,则热力学和输运性质不依赖于杂质平均态密度。我们表明,一个给定的系统的部分态密度以及态密度可以精确地确定从渐近波函数(或散射矩阵)在共振。渐近波函数可以在没有任何关于系统内部的量子力学势(包括电子-电子相互作用)或波函数的知识的情况下通过实验确定。这里导出的一些反直觉关系可以允许这一点。

英文摘要:

Suppose there is a mesoscopic system connected to single channel leads. If the system is non-chaotic or non-ergodic then the thermodynamic and transport properties do not depend on impurity averaged density of states. We show that the partial density of states as well as density of states of a given system can be determined exactly from the asymptotic wave-function (or scattering matrix) at the resonances. The asymptotic wave-function can be determined experimentally without any knowledge about the quantum mechanical potential (including electron-electron interaction) or wave function in the interior of the system. Some counter intuitive relations derived here can allow this.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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