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Phys. Rev. Lett. 100, 246805 (2008) [4 pages]

Interaction Correction to the Conductance of a Ballistic Conductor

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Piet W. Brouwer and Joern N. Kupferschmidt
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, 80333 München, Germany

Received 6 December 2007; published 20 June 2008

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 δGAA 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 δGAA is nonzero. The fact that the electron motion is ballistic leads to an exponential suppression of δGAA if the Ehrenfest time is larger than the mean dwell time τD or the inverse temperature /T.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.246805
DOI:
10.1103/PhysRevLett.100.246805
PACS:
73.23.−b, 05.45.Mt, 73.20.Fz