Exponential sensitivity to dephasing of electrical conduction through a quantum dot
Tworzydlo, J. · Tajic, A. · Schomerus, H. · Brouwer, P. W. · Beenakker, C. W. J.
Original · EN
According to random-matrix theory, interference effects in the conductance of a ballistic chaotic quantum dot should vanish ∝(τϕ/τD)ᵖ when the dephasing time τϕ becomes small compared to the mean dwell time τD. Aleiner and Larkin have predicted that the power law crosses over to an exponential suppression ∝(-τₑ/τϕ) when τϕ drops below the Ehrenfest time τₑ. We report the first observation of this crossover in a computer simulation of universal conductance fluctuations. Their theory also predicts an exponential suppression ∝(-τₑ/τD) in the absence of dephasing -- which is not observed. We show that the effective random-matrix theory proposed previously for quantum dots without dephasing explains both observations.
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