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arXiv 0910.2844cond-mat.mes-hall
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相互作用量子点的交流电导

AC-Conductance through an Interacting Quantum Dot

Björn Kubala, Florian Marquardt

摘要:

研究了在有限直流偏压下,任意相互作用量子点隧穿的线性电导。在类比著名的梅尔-Wingreen公式的直流情况下,我们能够得出一个通用公式的交流电导。它可以完全用量子点上的局部相关性来表示,形式是一个有四个外部分支的凯尔迪什框图。我们说明了使用这个公式作为一个起点,通过考虑非相互作用的共振能级模型的交流电导和推导的结果,为最低阶的电子-声子耦合的图解计算。我们将展示如何在适当的限制下恢复已知的结果。

英文摘要:

We investigate the linear ac-conductance for tunneling through an arbitrary interacting quantum dot in the presence of a finite dc-bias. In analogy to the well-known Meir-Wingreen formula for the dc case, we are able to derive a general formula for the ac-conductance. It can be expressed entirely in terms of local correlations on the quantum dot, in the form of a Keldysh block diagram with four external legs. We illustrate the use of this formula as a starting point for diagrammatic calculations by considering the ac-conductance of the noninteracting resonant level model and deriving the result for the lowest order of electron-phonon coupling. We show how known results are recovered in the appropriate limits.

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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