Static properties of infinite-range anisotropic spin Hamiltonians
- 1 September 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (5) , 2828-2831
- https://doi.org/10.1103/physrevb.30.2828
Abstract
The thermodynamic properties of systems described by means of infinite-range anisotropic spin Hamiltonians depending on the total spin and its component are exactly evaluated. -type, Ising-type, and intermediate-type states can be exhibited at different temperature ranges. A certain family of Hamiltonians containing quadratic and quartic terms is studied in detail.
Keywords
This publication has 12 references indexed in Scilit:
- Generalized mean-field theory: Formulation, thermodynamic consistency, and application to the isotropic-nematic-smectic transitions in liquid crystalsPhysical Review A, 1983
- Exact solutions for infinite-range spin HamiltoniansJournal of Applied Physics, 1979
- Time-dependent correlations for spin Van der Waals systemsPhysical Review B, 1979
- An Exactly Soluble Model of Singlet-Ground-State FerromagnetismPhysica Status Solidi (b), 1978
- An exactly soluble model of quadratic magnetostrictionJournal of Magnetism and Magnetic Materials, 1978
- The anisotropic Heisenberg model in the long-range interaction limitCommunications in Mathematical Physics, 1975
- An exact calculation of the free energy in systems with separable interactions. IIPhysica, 1974
- An exact calculation of the free energy in systems with separable interactionsPhysica, 1974
- First order and critical point phase transitions in cooperative assemblies with many-body interactions: some exact resultsJournal of Physics C: Solid State Physics, 1972
- Development of a Phase Transition for a Rigorously Solvable Many-Body SystemPhysical Review B, 1965