Absence of first-order phase transitions for antiferromagnetic systems |
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| Authors: | David Klein Wei-Shih Yang |
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| Affiliation: | (1) Department of Mathematics, California State University, 91330 Northridge, California;(2) Department of Mathematics, Temple University, 19122 Philadelphia, Pennsylvania |
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| Abstract: | We consider a spin system with nearest-neighbor antiferromagnetic pair interactions in a two-dimensional lattice. We prove that the free energy of this system is differentiable with respect to the uniform external fieldh, for all temperatures and allh. This implies the absence of a first-order phase transition in this system. |
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| Keywords: | Phase transition antiferromagnet Gibbs state free energy pressure Ising model |
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