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    • Keywords


      Kondo; quantum dots; finite size effects; mesoscopic.

    • Abstract


      Two important themes in nanoscale physics in the last two decades are correlations between electrons and mesoscopic fluctuations. Here we review our recent work on the intersection of these two themes. The setting is the Kondo effect, a paradigmatic example of correlated electron physics, in a nanoscale system with mesoscopic fluctuations; in particular, we consider a small quantum dot coupled to a finite reservoir (which itself may be a large quantum dot). We discuss three aspects of this problem. First, in the high-temperature regime, we argue that a Kondo temperature $T_K$ which takes into account the mesoscopic fluctuations is a relevant concept: for instance, physical properties are universal functions of $T/T_K$. Secondly, when the temperature is much less than the mean level spacing due to confinement, we characterize a natural cross-over from weak to strong coupling. This strong coupling regime is itself characterized by well-defined single-particle levels, as one can see from a Nozières Fermi-liquid theory argument. Finally, using a mean-field technique, we connect the mesoscopic fluctuations of the quasiparticles in the weak coupling regime to those at strong coupling.

    • Author Affiliations


      Denis Ullmo1 Sébastien Burdin2 Dong E Liu3 Harold U Baranger3

      1. LPTMS, Univ. Paris Sud, CNRS, 91405 Orsay Cedex, France
      2. Condensed Matter Theory Group, LOMA, UMR 5798, Université de Bordeaux I, 33405 Talence, France
      3. Department of Physics, Duke University, Box 90305, Durham, NC 27708-0305, USA
    • Dates

  • Pramana – Journal of Physics | News

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