Universal Dephasing Rate due to Diluted Kondo Impurities

T. Micklitz, A. Altland, T. A. Costi, and A. Rosch
Phys. Rev. Lett. 96, 226601 – Published 7 June 2006

Abstract

We calculate the dephasing rate due to magnetic impurities in a weakly disordered metal as measured in a weak-localization experiment. If the density nS of magnetic impurities is sufficiently low, the dephasing rate 1/τφ is a universal function, 1/τφ=(nS/ν)f(T/TK), where TK is the Kondo temperature and ν is the density of states. We show that inelastic vertex corrections with a typical energy transfer ΔE are suppressed by powers of 1/(τφΔE)nS. Therefore, the dephasing rate can be calculated from the inelastic cross section proportional to πνImT|πνT|2, where T is the T matrix which is evaluated numerically exactly using the numerical renormalization group.

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  • Received 12 October 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.226601

©2006 American Physical Society

Authors & Affiliations

T. Micklitz1, A. Altland1, T. A. Costi2, and A. Rosch1

  • 1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany
  • 2Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany

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Vol. 96, Iss. 22 — 9 June 2006

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