Physical review. B, Condensed matter · 1994 · 17 citations · 25 references
Natural SciencesPhysicsCondensed Matter PhysicsQuantum MechanicsTheoretical PhysicsLow-dimensional SolidsLow-dimensional SystemsMagnetism In SolidsPhase TransitionsStrongly Correlated Electron SystemsAnisotropyHubbard ModelLow-dimensional MagnetismLow-dimensional Quantum SystemsQuantum Mechanical Model
The quantum XXZ model is studied with the help of the Schwinger-boson formalism. The technique is particularly suited to describe the disordered state of low-dimensional quantum magnets. The Hubbard-Stratonovich transformation is employed to construct the saddle-point equations of the theory. The solution of these equations in one dimension yields the dependence of the Haldane gap as a function of the XY anisotropy.
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Two soluble models of an antiferromagnetic chain
Elliott Lieb, T. D. Schultz, Daniel C. Mattis · Annals of Physics · 1961 · 4.3K citations
Rigorous results on valence-bond ground states in antiferromagnets
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