Abstract
We prove the existence of spontaneous magnetization at sufficiently low temperature, and hence of a phase transition, in a variety of quantum spin systems in three or more dimensions. The isotropic spin 1/2 x−y model and the Heisenberg antiferromagnet with spin 1, 3/2,...and with nearest neighbor interactions on a simple cubic lattice are included.
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Dyson, F.J., Lieb, E.H., Simon, B. (1978). Phase Transitions in Quantum Spin Systems with Isotropic and Nonisotropic Interactions. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Statistical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10018-9_12
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DOI: https://doi.org/10.1007/978-3-662-10018-9_12
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