Theory of Temperature-Dependent Magnon Energies in Antiferromagnets

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Abstract
A theory of the temperature‐dependent magnon energies in antiferromagnets is developed. In this theory, which is based on the spin‐wave operator expansion of the Hamiltonian, the dynamical interaction between two spin waves is taken into account in the sense of the random phase approximation. The kinematical interaction is neglected. The present result, which is different from Oguchi and Honma's, agrees with that of Kanamori and Tachiki's theory in the spin‐wave temperature region. The magnon energies are computed in a self‐consistent manner for the system which includes the exchange and the uniaxial anisotropy energies. The maximum temperature above which no self‐consistent solution can be obtained is calculated. The definition of the maximum temperature which is obtained in this theory is found to be different from that previously proposed by Bloch.

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