corner
corner
APS » Journals » Phys. Rev. B » Volume 1 » Issue 11
< Previous Article | Next Article >

Phys. Rev. B 1, 4464–4473 (1970)

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

Download: PDF (547 kB) Buy this article Export: BibTeX or EndNote (RIS)

P. W. Anderson and G. Yuval*
Bell Telephone Laboratories, Murray Hill, New Jersey 07974 and Cavendish Laboratory, Cambridge University, Cambridge England

D. R. Hamann
Bell Telephone Laboratories, Murray Hill, New Jersey 07974

Received 10 September 1969; published in the issue dated 1 June 1970

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→0 properties (e.g., it has finite χ).

© 1970 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.1.4464
DOI:
10.1103/PhysRevB.1.4464
PACS:

*Work at the Cavendish Laboratory supported in part by the Air Force Office of Scientific Research Office of Aerospace Research, U.S. Air Force, under Grant No. 1052-69.

 
< Previous Article | Next Article >