Mean-field analysis of two antiferromagnetically coupled Anderson impurities

B. A. Jones, B Kotliar, A. J. Millis

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

We have solved, near T=0, a model describing two magnetic impurities coupled to a band of itinerant electrons and also antiferromagnetically to each other, using an auxiliary-boson mean-field theory which is exact in a large-N limit. Depending upon parameters we find two possible ground states: one in which the Kondo effect occurs and one in which it does not. As the direct antiferromagnetic interaction is varied relative to the Kondo coupling at T=0, a phase transition occurs which may be of first or second order. We compute the low-temperature behavior of the specific heat and the uniform and staggered susceptibility. The nature of the Kondo phase and of the phase transition differ notably from the results found in a recent numerical renormalization-group calculation of a similar model with N=2.

Original languageEnglish (US)
Pages (from-to)3415-3418
Number of pages4
JournalPhysical Review B
Volume39
Issue number5
DOIs
StatePublished - Jan 1 1989
Externally publishedYes

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Phase transitions
Kondo effect
Impurities
impurities
Bosons
Mean field theory
Ground state
Specific heat
bosons
specific heat
magnetic permeability
ground state
Electrons
electrons
interactions
Temperature

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Jones, B. A. ; Kotliar, B ; Millis, A. J. / Mean-field analysis of two antiferromagnetically coupled Anderson impurities. In: Physical Review B. 1989 ; Vol. 39, No. 5. pp. 3415-3418.
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Mean-field analysis of two antiferromagnetically coupled Anderson impurities. / Jones, B. A.; Kotliar, B; Millis, A. J.

In: Physical Review B, Vol. 39, No. 5, 01.01.1989, p. 3415-3418.

Research output: Contribution to journalArticle

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