Semiclassical approach to the ac conductance of chaotic cavities

Cyril Petitjean, Daniel Waltner, Jack Kuipers, İnanç Adagideli, and Klaus Richter
Phys. Rev. B 80, 115310 – Published 10 September 2009

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.

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  • Received 9 June 2009

DOI:https://doi.org/10.1103/PhysRevB.80.115310

©2009 American Physical Society

Authors & Affiliations

Cyril Petitjean1, Daniel Waltner1, Jack Kuipers1, İnanç Adagideli1,2, and Klaus Richter1

  • 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
  • 2Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, 34956 Istanbul, Turkey

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Vol. 80, Iss. 11 — 15 September 2009

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