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Phys. Rev. B 75, 201303(R) (2007) [4 pages]

Universal parametric correlations in the classical limit of quantum transport

Piet W. Brouwer1,2 and Saar Rahav3
1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
2Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, D-80333 München, Germany
3Department of Chemistry and Biochemistry, University of Maryland, College Park, Maryland 20742, USA

Rapid Received 8 March 2007; revised 3 May 2007; published 23 May 2007

Quantum corrections to transport through a chaotic ballistic cavity are known to be universal. The universality not only applies to the magnitude of quantum corrections, but also to their dependence on external parameters, such as the Fermi energy or an applied magnetic field. Here we consider such parameter dependence of quantum transport in a ballistic chaotic cavity in the semiclassical limit obtained by sending [h-bar]-->0 without changing the classical dynamics of the open cavity. In this limit quantum corrections are shown to have a universal parametric dependence which is not described by random matrix theory.

©2007 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.75.201303
DOI: 10.1103/PhysRevB.75.201303
PACS: 73.23.-b; 05.60.Gg; 05.45.Mt
  • 73.23.-b
    Electronic transport in mesoscopic systems
  • 05.60.Gg
    Quantum transport
  • 05.45.Mt
    Semiclassical methods in quantum chaos
  • YEAR: 2007
KEYWORDS: ballistic transport, Fermi level, electrical conductivity

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