ac conductance through an interacting quantum dot

Kubala, Bjoern; Marquardt, Florian

doi:10.1103/PhysRevB.81.115319

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ac conductance through an interacting quantum dot

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Marquardt, Florian
Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society;
University of Munich;

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Citation

Kubala, B., & Marquardt, F. (2010). ac conductance through an interacting quantum dot. PHYSICAL REVIEW B, 81(11): 115319. doi:10.1103/PhysRevB.81.115319.

Cite as: https://hdl.handle.net/21.11116/0000-0001-D7A4-3

Abstract

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.