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A generalized coherent-potential approximation for site-disordered spin systems
| Content Provider | Scilit |
|---|---|
| Author | Lage, E. J. S. Stinchcombe, R. B. |
| Copyright Year | 1977 |
| Description | Journal: Journal of Physics C: Solid State Physics An extension of the usual diagrammatic coherent-potential approximation is considered to account for the presence of disorder both in off-diagonal and inhomogeneous terms. The method is applied to the quenched site-disordered Ising model (S=^{1}$/_{2}$) above the transition, where the fundamental equation for the correlation function is a generalized random-phase approximation. The results for the initial slope of the critical temperature and the critical concentration are presented for the simple cubic lattice with nearest-neighbour interactions, and they are in reasonable agreement with the values derived by other methods. The differences are studied and a discussion is presented to show that, near the critical concentration, terms not considered in the coherent-potential approximation are as important as the terms included. The application of this method to other models is also briefly discussed and, in the particular case of the Heisenberg model, it is shown that the method reproduces the basic results derived by Harris et al. (1974) using an effective-medium approach. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/10/2/013/pdf |
| Ending Page | 312 |
| Page Count | 18 |
| Starting Page | 295 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/10/2/013 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 2 |
| Volume Number | 10 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1977-01-28 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Simple Cubic Ising Model Random Phase Approximation Correlation Function Heisenberg Model |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
