Strong-coupling limit of a Kondo spin coupled to a mesoscopic quantum dot: Effective Hamiltonian in the presence of exchange correlations

Stefan Rotter and Y. Alhassid
Phys. Rev. B 80, 184404 – Published 2 November 2009

Abstract

We consider a Kondo spin that is coupled antiferromagnetically to a large chaotic quantum dot. Such a dot is described by the so-called universal Hamiltonian and its electrons are interacting via a ferromagnetic exchange interaction. We derive an effective Hamiltonian in the limit of strong Kondo coupling, where the screened Kondo spin effectively removes one electron from the dot. We find that the exchange-coupling constant in this reduced dot (with one less electron) is renormalized and that additional interaction terms appear beyond the conventional terms of the strong-coupling limit. The eigenenergies of this effective Hamiltonian are found to be in excellent agreement with exact numerical results of the original model in the limit of strong Kondo coupling.

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  • Received 30 July 2009

DOI:https://doi.org/10.1103/PhysRevB.80.184404

©2009 American Physical Society

Authors & Affiliations

Stefan Rotter1 and Y. Alhassid2

  • 1Institute for Theoretical Physics, Vienna University of Technology, A-1040 Vienna, Austria
  • 2Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA

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Issue

Vol. 80, Iss. 18 — 1 November 2009

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