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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1975 The American Physical Society
- ISSN
- 1095-3795
- DOI
- 10.1103/PhysRevB.11.4683
- Publisher site
- See Article on Publisher Site
Abstract
The thermodynamic properties (specific heat, spin-spin correlation function, magnetic susceptibility, and density-density correlation function) of an impure one-dimensional classical Heisenberg chain with nearest-neighbor exchange are calculated exactly in the thermodynamic limit. We consider both bond and site impurities and consider the quenched and annealed limits for each of these models. The present theory is an extension of Fisher's work for the pure case. In the bond model, the annealed and quenched limits lead to the same results. In the site model, the difference between the annealed and quenched limits is predominant at low temperatures. For various combinations of the exchange constants (both ferro- and antiferromagnetic) we examine analytically how the low-temperature behavior of the zero-field susceptibility varies with concentration. Numerical results are given as functions of temperature and concentration. It is found that in the annealed limit of the site model the specific heat versus temperature curve has a maximum at a finite temperature. The maximum comes from the short-range ordering of the constituent ions.
Journal
Physical Review B – American Physical Society (APS)
Published: Jun 1, 1975