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Lidiard's Theory of Itinerant-Electron Antiferromagnetism
Phys. Rev. 158, 552 – Published 10 June, 1967
DOI: https://doi.org/10.1103/PhysRev.158.552
Abstract
Lidiard's theory of itinerant-electron antiferromagnetism is investigated in detail both with respect to the possible stable ground states and with respect to its spin-wave properties. As regards stability with respect to individual-particle excitations, saturated and unsaturated ferromagnetic states are possible over the full range of relative magnetizations. The antiferromagnetic state is stable against both collective and individual particle excitations only in the fully saturated case. A stable ferrimagnetic state is shown to exist when one spin direction is fully saturated and the other direction slightly less than fully saturated. The spin-wave dispersion law in the long-wave limit is given explicitly, derived from a Green's-function technique in random-phase approximation. The Lidiard model corresponds to a two-band itinerant model with both interband and intraband short-range exchange interactions, i.e., exchange integrals independent of wave vector.
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