Two-channel versus infinite-channel Kondo models for the single-electron transistor

Gergely Zaránd, Gergely T. Zimányi, and Frank Wilhelm
Phys. Rev. B 62, 8137 – Published 15 September 2000
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Abstract

We investigate the low-temperature dynamics of single electron boxes and transistors close to their degeneracy point using renormalization-group methods. We show that intermode scattering is a relevant perturbation and always drives the system to the two-channel Kondo fixed point, where the two channels correspond to the real spins of the conduction electrons. However, the crossover temperature T*, below which Matveev’s two-channel Kondo scenario [K.A. Matveev, Phys. Rev. B 51, 1743 (1995)] develops decreases exponentially with the number of conduction modes in the tunneling junctions and is extremely small in most cases. Above T* the “infinite channel model” of G. Falci, G. Schön, and G.T. Zimany, Phys. Rev. Lett. 74, 3257 (1995) turns out to be a rather good approximation. We discuss the experimental limitations and suggest an experimental setup to observe the multichannel Kondo behavior.

  • Received 1 March 2000

DOI:https://doi.org/10.1103/PhysRevB.62.8137

©2000 American Physical Society

Authors & Affiliations

Gergely Zaránd1,2, Gergely T. Zimányi2, and Frank Wilhelm3

  • 1Research Group of the Hungarian Academy of Sciences, Institute of Physics, Technical University of Budapest, H 1521 Budafoki út 8., Budapest, Hungary
  • 2UC Davis, 1 Shields Avenue, California 95616
  • 3Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany

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Vol. 62, Iss. 12 — 15 September 2000

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