[en] 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.
Disciplines :
Physics
Author, co-author :
Petitjean, Cyril ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Semiclassical approach to the ac conductance of chaotic cavities
Publication date :
2009
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
ISSN :
1098-0121
eISSN :
1550-235X
Publisher :
Amer Physical Soc, College Pk, United States - Maryland
Volume :
80
Issue :
11
Pages :
115310-12
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
DFG - Deutsche Forschungsgemeinschaft [DE] AvH - Alexander von Humboldt-Stiftung [DE]
Commentary :
The authors thank P. W. Brouwer, M. Buttiker, M. Gutierrez, S. Nigg, M. Polianski, and R. S. Whitney for valuable and stimulating discussions. We acknowledge funding from the DFG under GRK 638, FOR 760 and from the Alexander von Humboldt Foundation (C. P. and J. K.).
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