1996/10/18 by P. W. Brouwer, P. W Brouwer, M. Buttiker +1 · 2 citations
Physics and Astronomy · #Admittance #Chaotic #Dwell time #Energy (signal processing) #Extension (predicate logic) #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Scale (ratio) #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall
paper · pdf · doi:10.1209/epl/i1997-00169-0
published as Europhys. Lett. 37, 441 (1997) · 7 pages, RevTeX, 1 figure
arxiv created 1996/10/18 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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 τ 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.