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Exponential sensitivity to dephasing of electrical conduction through a quantum dot.

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  • J. Tworzydlo
  • A. Tajic
  • H. Schomerus
  • P. W. Brouwer
  • C. W. J. Beenakker
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<mark>Journal publication date</mark>2004
<mark>Journal</mark>Physical review letters
Volume93
Pages (from-to)186806
Publication StatusPublished
<mark>Original language</mark>English

Abstract

According to random-matrix theory, interference effects in the conductance of a ballistic chaotic quantum dot should vanish propto(tau_phi/tau_D)^p when the dephasing time tau_phi becomes small compared to the mean dwell time tau_D. Aleiner and Larkin have predicted that the power law crosses over to an exponential suppression exp(�tau_E/tau_phi) when tau_phi drops below the Ehrenfest time tau_E. We report the first observation of this crossover in a computer simulation of universal conductance fluctuations. Their theory also predicts an exponential suppression propto exp(�tau_E/tau_D) 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.