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arXiv 0911.4908cond-mat.mes-hallcond-mat.str-el
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量子RC电路的万有电阻

Universal Resistances of the Quantum RC circuit

Christophe Mora, Karyn Le Hur

摘要:

我们研究的概念,通用的量子化电阻在AC制度,通过完全相干的量子RC电路包括一个腔(点)电容耦合到一个栅极,并通过一个单一的自旋极化通道连接到一个水库铅。由于量子效应,如库仑相互作用在腔和全球相位相干性,我们表明,电荷弛豫电阻$R_q$是相同的弱和大的传输和它的变化从$h/2e^2$到$h/e^2$时,频率(倍$\hbar$)超过腔的能级间距; $h$是普朗克常量和$e$的电子电荷。对于大的空腔,我们制定的电荷弛豫电阻$h/e^2$和Kondo模型的Korringa-Shiba关系之间的对应关系。此外,我们引入了一类一般的模型,其中的电荷弛豫电阻是普遍的。我们的研究结果强调,电荷弛豫电阻是一个关键的观察,以了解强关联系统的动力学。

英文摘要:

We examine the concept of universal quantized resistance in the AC regime through the fully coherent quantum RC circuit comprising a cavity (dot) capacitively coupled to a gate and connected via a single spin-polarized channel to a reservoir lead. As a result of quantum effects such as the Coulomb interaction in the cavity and global phase coherence, we show that the charge relaxation resistance $R_q$ is identical for weak and large transmissions and it changes from $h/2e^2$ to $h/e^2$ when the frequency (times $\hbar$) exceeds the level spacing of the cavity; $h$ is the Planck constant and $e$ the electron charge. For large cavities, we formulate a correspondence between the charge relaxation resistance $h/e^2$ and the Korringa-Shiba relation of the Kondo model. Furthermore, we introduce a general class of models, for which the charge relaxation resistance is universal. Our results emphasize that the charge relaxation resistance is a key observable to understand the dynamics of strongly correlated systems.

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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