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Phys. Rev. B 78, 125313 (2008) [21 pages]

Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots

Joern N. Kupferschmidt and Piet W. Brouwer
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, 80333 München, Germany
Suggestion
Received 14 May 2008; published 11 September 2008

We calculate the magnetic-field and temperature dependence of all quantum corrections to the ensemble-averaged conductance of a network of quantum dots. We consider the limit that the dimensionless conductance of the network is large, so that the quantum corrections are small in comparison to the leading, classical contribution to the conductance. For a quantum dot network the conductance and its quantum corrections can be expressed solely in terms of the conductances and form factors of the contacts and the capacitances of the quantum dots. In particular, we calculate the temperature dependence of the weak localization correction and show that it is described by an effective dephasing rate proportional to temperature.

©2008 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.78.125313
DOI: 10.1103/PhysRevB.78.125313
PACS: 73.23.-b; 05.45.Mt; 73.20.Fz
  • 73.23.-b
    Electronic transport in mesoscopic systems
  • 05.45.Mt
    Quantum chaos; semiclassical methods
  • 73.20.Fz
    Weak or Anderson localization (surface/interface states)
  • YEAR: 2008
KEYWORDS: magnetic fields, quantum dots, thermoelectricity, weak localisation

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