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 $\ensuremath{\chi}$).
Keywords
AntiferromagnetismIsing modelScalingPhysicsFerromagnetismSpin (aerodynamics)Ground stateKondo modelExact solutions in general relativityStatistical physicsMathematical physicsKondo effectQuantum mechanicsMathematicsImpurity
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Publication Info
- Year
- 1970
- Type
- article
- Volume
- 1
- Issue
- 11
- Pages
- 4464-4473
- Citations
- 566
- Access
- Closed
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Cite This
Philip W. Anderson,
G. Yuval,
D. R. Hamann
(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, Solid state
, 1
(11)
, 4464-4473.
https://doi.org/10.1103/physrevb.1.4464
Identifiers
- DOI
- 10.1103/physrevb.1.4464