Physical review. B, Condensed matter · 1984 · 87 citations · 32 references
Natural SciencesPhysicsCondensed Matter PhysicsMagnetic MaterialsAnisotropic MaterialsCritical PhenomenaMagnetic AnisotropyPhase DiagramsPhase TransitionsAnisotropyCritical ExponentsCritical PropertiesFinite-size EffectsFinite-size ScalingHeisenberg ModelSingle-ion AnisotropyUniaxial Anisotropy
We use finite-size scaling to determine the critical properties of spin-1 chains with uniaxial single-ion anisotropy $D$. A phase diagram is obtained in the ($D$, $\ensuremath{\Delta}$) plane, where $\ensuremath{\Delta}$ is the strength of the interaction in the direction of the single-ion anisotropy. Critical exponents are estimated.
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Theory of dynamic critical phenomena
P. C. Hohenberg, Bertrand I. Halperin · Reviews of Modern Physics · 1977 · 6.9K citations
Two soluble models of an antiferromagnetic chain
Elliott Lieb, T. D. Schultz, Daniel C. Mattis · Annals of Physics · 1961 · 4.3K citations