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Static correlations in one-dimensional classical easy-plane magnets
| Content Provider | Scilit |
|---|---|
| Author | Cieplak, M. Gutowski, Marek Sjolander, A. |
| Copyright Year | 1980 |
| Description | Journal: Journal of Physics C: Solid State Physics The static two- and four-spin correlations for the one-dimensional easy-plane Heisenberg spin system with a ferromagnetic coupling, like $CsNiF_{3}$, are investigated in the classical limit by means of the transfer matrix method. They are found to consist essentially of two components which both depend exponentially on the distance between sites. Both in the high- and low-temperature regions, only one component remains and this component still dominates at intermediate temperatures. Analytic forms for the correlation functions are given for asymptotically low temperatures. These are obtained by calculating the second-frequency moment of the dynamical structure factor in three different ways, and by requiring the T=0 limit of the moment to coincide with the square of the spin wave frequency. Generalisations of the Tomita-Mashiyama recursion relations (1972) for the isotropic case are given, valid for low temperatures, Monte Carlo calculations of the correlation functions have also been performed and some results of these are presented as well. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/13/26/020/pdf |
| Ending Page | 5032 |
| Page Count | 24 |
| Starting Page | 5009 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/13/26/020 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 26 |
| Volume Number | 13 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1980-09-20 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Applied Physics Condensed Matter Physics Transfer Matrix Method Spin Wave Correlation Function Monte Carlo Dynamic Structure Factor Classical Limit |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
