Abstract

In disordered metals, electron-electron interactions are the origin of a small correction to the conductivity, the "Altshuler-Aronov correction." Here we investigate the Altshuler-Aronov correction deltaG{AA} of a conductor in which the electron motion is ballistic and chaotic. We consider the case of a double quantum dot, which is the simplest example of a ballistic conductor in which deltaG{AA} is nonzero. The fact that the electron motion is ballistic leads to an exponential suppression of deltaG{AA} if the Ehrenfest time is larger than the mean dwell time tau{D} or the inverse temperature h/T.

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