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Cited by 577

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Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models

Anderson, P. W., Yuval, G., Hamann, D. R.·1970·Physical Review B
DOI 10.1103/physrevb.1.4464
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Abstract

The simplest Kondo problem is treated exactly in the ferromagnetic case, and given exact bounds for the relevant physical properties in the antiferromagnetic case, by use of a scaling technique on an asymptotically exact expression for the ground-state properties given earlier. The theory also solves the $n=2$ case of the one-dimensional Ising problem. The ferromagnetic case has a finite spin, while the antiferromagnetic case has no truly singular $T\ensuremath{\rightarrow}0$ properties (e.g., it has finite $\ensuremath{\chi}$).

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Metadata

Authors
Anderson, P. W., Yuval, G., & Hamann, D. R.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1970-06-01
Volume
1
Issue
11
Pages
4464-4473
ISSN
0556-2805 (ISSN-L)
DOI
10.1103/physrevb.1.4464
OpenAlex
W2056448051
Cited by
577
References
0
FWCI
11.37
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models. https://app.cochat.ai/papers/10.1103/physrevb.1.4464
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Anderson, P. W., Yuval, G., & Hamann, D. R. (1970). Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models. Physical Review B. https://doi.org/10.1103/physrevb.1.4464

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