Derivation of exact results for the single-ion Kondo problem with the use of diagrammatic methods

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Abstract

It is shown that exact results for the single-impurity Kondo problem can be obtained by diagrammatic methods. The results for the susceptibility and specific heat agree with those obtained by Wilsons numerical methods. In particular, the crossover W=(/e)1/2 and Wilson R=2 ratios are reproduced exactly. Conduction-electron scattering from the impurity reaches the unitarity limit corresponding to a phase shift =/2. Both this and the compensation of the impurity spin are also exact results. The methods described are relatively easily extended to the Anderson model and the corresponding lattice problems.

Original languageEnglish (US)
Pages (from-to)3209-3246
Number of pages38
JournalPhysical Review B
Volume33
Issue number5
DOIs
StatePublished - 1986

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derivation
Impurities
Ions
impurities
ions
Electron scattering
Phase shift
conduction electrons
Specific heat
Numerical methods
crossovers
electron scattering
phase shift
specific heat
magnetic permeability
heat
Compensation and Redress

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Derivation of exact results for the single-ion Kondo problem with the use of diagrammatic methods. / Barnes, Stewart.

In: Physical Review B, Vol. 33, No. 5, 1986, p. 3209-3246.

Research output: Contribution to journalArticle

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