A new approach to the high-temperature series expansion which is applicable to systems with complicated energy level schemes such as magnetic systems with crystal-field anisotropy of arbitrary strength has been formulated. We compare this approach with the original Green's function formulation of Wand and Lee and discuss the advantage of the present technique. We apply the approach developed here to the spin-one hard-axis Heisenberg ferromagnet and obtain the first four terms in the high-temperature series expansion for the free energy, the magnetic susceptibility, and the specific heat. The formula obtained for the free energy of the spin-one hard-axis ferromagnet also describes spin-one systems with rhombic anisotropy and reduces to the spin-one ferromagnet with an easy-axis anisotropy and to the spin-one simple Heisenberg systems by setting the appropriate matrix elements equal to zero. The method can be extended to treat systems with spin greater than one with general crystal field symmetry. The calculation of higher order terms is rendered tractable using the approach developed here. / Source: Dissertation Abstracts International, Volume: 41-02, Section: B, page: 0612. / Thesis (Ph.D.)--The Florida State University, 1980.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_74092 |
| Contributors | JOHNSON, JAMES WRAY., The Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 110 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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