Green Functions in the Theory of Antiferromagnetism
- 31 August 1964
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 135 (5A), A1336-A1346
- https://doi.org/10.1103/physrev.135.a1336
Abstract
A Green function method has been used to treat the statistics of a general antiferromagnetic structure with arbitrary spin value per site and with Heisenberg exchange interactions between any or all pairs of spins in the system. The only restrictions placed upon the type of order are that there shall be a single direction of spin alignment and that each of the two ferromagnetic sublattices shall be translationally invariant. Expressions are given for the sublattice magnetization and Néel temperature and, as a particular application of the results, the Néel temperatures for certain face-centered cubic orders are calculated explicitly. The behavior of a general antiferromagnetic structure in the presence of an external magnetic field is also examined. Expressions are derived for the parallel and perpendicular magnetic susceptibilities, and are discussed in detail at low and high temperatures and also at the Néel point.Keywords
This publication has 17 references indexed in Scilit:
- Interpolation Approach to the Green Function Theory of FerromagnetismPhysical Review B, 1963
- On the T3-term in the low-temperature expansion for the magnetisation of a spin - Heisenberg ferromagnetPhysics Letters, 1963
- Antiferromagnetism in a Layer Structure by Green Function TechniquesPhysical Review B, 1963
- Green Function Theory of FerromagnetismPhysical Review B, 1963
- Theory of Ferro- and Antiferromagnetism by the Method of Green FunctionsJournal of Applied Physics, 1963
- On the Green's Functions of the Heisenberg Spin SystemsProgress of Theoretical Physics, 1962
- Use of Green Functions in the Theory of Ferromagnetism. I. General Discussion of the Spin-CasePhysical Review B, 1962
- Запаздывающие и опережающие функции Грина в теории ферромагнетизмаUkrainian Mathematical Journal, 1959
- The Spin-Wave Theory of AntiferromagneticsPhysical Review B, 1952
- Generalizations of the Weiss Molecular Field Theory of AntiferromagnetismPhysical Review B, 1950