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Charge-Relaxation and Dwell Time in the Fluctuating Admittance of a Chaotic Cavity

Published inEurophysics letters, vol. 37, no. 7, p. 441-446
Publication date1997
Abstract

We consider the admittance of a chaotic quantum dot, capacitively coupled to a gate and connected to two electron reservoirs by multichannel ballistic point contacts. For a dot in the regime of weak-localization and universal conductance fluctuations, we calculate the average and variance of the admittance using random-matrix theory. We find that the admittance is governed by two time-scales: the classical admittance depends on the RC-time of the quantum dot, but the relevant time scale for the weak-localization correction and the admittance fluctuations is the dwell time. An extension of the circular ensemble is used for a statistical description of the energy dependence of the scattering matrix.

Keywords
  • Mesoscopic systems and quantum hall effect
Citation (ISO format)
BROUWER, P.W., BUTTIKER, Markus. Charge-Relaxation and Dwell Time in the Fluctuating Admittance of a Chaotic Cavity. In: Europhysics letters, 1997, vol. 37, n° 7, p. 441–446. doi: 10.1209/epl/i1997-00169-0
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ISSN of the journal0295-5075
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