Mean-field theory of the Kondo effect in quantum dots with an even number of electrons

Mikio Eto, Y. V. Nazarov

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We investigate the enhancement of the Kondo effect in quantum dots with an even number of electrons, using a scaling method and a mean field theory. We evaluate the Kondo temperature TK as a function of the energy difference between spin-singlet and -triplet states in the dot, Δ, and the Zeeman splitting, Ez. If the Zeeman splitting is small, Ez≪TK, the competition between the singlet and triplet states enhances the Kondo effect. TK reaches its maximum around Δ = 0 and decreases with Δ obeying a power law. If the Zeeman splitting is strong, Ez≫TK, the Kondo effect originates from the degeneracy between the singlet state and one of the components of the triplet state at - Δ ∼ Ez. We show that TK exhibits another power-law dependence on Ez. The mean field theory provides a unified picture to illustrate the crossover between these regimes. The enhancement of the Kondo effect can be understood in terms of the overlap between the Kondo resonant states created around the Fermi level. These resonant states provide the unitary limit of the conductance G∼2e2/h.

Original languageEnglish
Article number085322
Pages (from-to)853221-8532211
Number of pages7678991
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number8
Publication statusPublished - 2001 Aug 15
Externally publishedYes

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Kondo effect
Mean field theory
Semiconductor quantum dots
quantum dots
atomic energy levels
Electrons
electrons
augmentation
Fermi level
crossovers
scaling
Temperature
temperature
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Mean-field theory of the Kondo effect in quantum dots with an even number of electrons. / Eto, Mikio; Nazarov, Y. V.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 64, No. 8, 085322, 15.08.2001, p. 853221-8532211.

Research output: Contribution to journalArticle

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