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 language | English (US) |
|---|---|
| Pages (from-to) | 3209-3246 |
| Number of pages | 38 |
| Journal | Physical Review B |
| Volume | 33 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1986 |
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ASJC Scopus subject areas
- Condensed Matter Physics
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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 journal › Article
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TY - JOUR
T1 - Derivation of exact results for the single-ion Kondo problem with the use of diagrammatic methods
AU - Barnes, Stewart
PY - 1986
Y1 - 1986
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=9344244917&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=9344244917&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.33.3209
DO - 10.1103/PhysRevB.33.3209
M3 - Article
AN - SCOPUS:9344244917
VL - 33
SP - 3209
EP - 3246
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 5
ER -