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Semiclassical approach to the ac-conductance of chaotic cavities

Petitjean, Cyril and Waltner, Daniel and Kuipers, Jack and Adagideli, İnanç and Richter, Klaus (2009) Semiclassical approach to the ac-conductance of chaotic cavities. Physical Review B: Condensed Matter and Materials Physics, 80 (11). ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.80.115310

Abstract

We address frequency-dependent quantum transport through mesoscopic conductors in the semiclassical limit. By generalizing the trajectory-based semiclassical theory of dc quantum transport to the ac case, we derive the average screened conductance as well as ac weak-localization corrections for chaotic conductors. Thereby we confirm respective random matrix results and generalize them by accounting for Ehrenfest time effects. We consider the case of a cavity connected through many leads to a macroscopic circuit which contains ac-sources. In addition to the reservoir the cavity itself is capacitively coupled to a gate. By incorporating tunnel barriers between cavity and leads we obtain results for arbitrary tunnel rates. Finally, based on our findings we investigate the effect of dephasing on the charge relaxation resistance of a mesoscopic capacitor in the linear low-frequency regime.

Item Type:Article
Uncontrolled Keywords:chaos, electrical conductivity, mesoscopic systems, quantum theory, tunnelling
Subjects:Q Science > QC Physics > QC176-176.9 Solids. Solid state physics
ID Code:11956
Deposited By:İnanç Adagideli
Deposited On:11 Sep 2009 17:34
Last Modified:25 May 2011 14:10

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