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A Unifying Theory for Effective Field Models in Magnetism

G. J. Bowden
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 353, No. 1675 (Apr. 21, 1977), pp. 563-574
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/79213
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Unifying Theory for Effective Field Models in Magnetism
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Abstract

The problem of interacting magnetic sub-lattices is examined within the framework of 'effective field theory'. It is shown that a relation χ -1=(χ 0)-1-λ derived by Bleaney (1963) for a single magnetic sub-lattice, can be generalized to the case of two or more sub-lattices, using the concept of augmented susceptibility tensors. The treatment is quite general in that it allows one to incorporate crystal field effects, isotropic, anisotropic and non-collinear exchange, within a three dimensional framework. In general, the model provides a unifying background for all effective field models and contact is made with both the Neel model of ferrimagnetism and the 'generalized molecular field model'. Criteria are also developed for both 'spin-reorientations' and 'spin-decoupling', in the ordered phase.

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