Exponential sensitivity to dephasing of electrical conduction through a quantum dot

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

2004-07-20

arxiv.org/abs/cond-mat/0407526v1

Physical Review Letters 93, 186806 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.93.186806

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 $\propto\exp(-\tau_{E}/\tau_{\phi})$ 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.

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