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Multifractality and the distribution of the Kondo temperature at the Anderson transition

Author

Listed:
  • Keith Slevin

    (Graduate School of Science, Osaka University)

  • Stefan Kettemann

    (School of Engineering and Science, Jacobs University Bremen)

  • Tomi Ohtsuki

    (Physics Division, Sophia University)

Abstract

Using numerical simulations, we investigate the distribution of Kondo temperatures at the Anderson transition. In agreement with previous work, we find that the distribution has a long tail at small Kondo temperatures. Recently, an approximation for the tail of the distribution was derived analytically. This approximation takes into account the multifractal distribution of the wavefunction amplitudes (in the parabolic approximation), and power law correlations between wave function intensities, at the Anderson transition. It was predicted that the distribution of Kondo temperatures has a power law tail with a universal exponent. Here, we attempt to check that this prediction holds in a numerical simulation of Anderson’s model of localisation in three dimensions. Graphical abstract

Suggested Citation

  • Keith Slevin & Stefan Kettemann & Tomi Ohtsuki, 2019. "Multifractality and the distribution of the Kondo temperature at the Anderson transition," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(12), pages 1-8, December.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:12:d:10.1140_epjb_e2019-100478-1
    DOI: 10.1140/epjb/e2019-100478-1
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