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Phys. Rev. B 76, 165313 (2007) [18 pages]

Semiclassical theory of the Ehrenfest-time dependence of quantum transport

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Piet W. Brouwer
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 11 June 2007; revised 28 August 2007; published 18 October 2007

In ballistic conductors, there is a low-time threshold for the appearance of quantum effects in transport coefficients. This low-time threshold is the Ehrenfest time τE. Most previous studies of the τE dependence of quantum transport assumed ergodic electron dynamics, so that they could be applied to ballistic quantum dots only. In this paper, we present a theory of the τE dependence of three signatures of quantum transport—the Fano factor for the shot noise power, the weak localization correction to the conductance, and the conductance fluctuations—for arbitrary ballistic conductors.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.165313
DOI:
10.1103/PhysRevB.76.165313
PACS:
73.23.−b, 05.45.Mt, 73.20.Fz