Short Communications

Journal of Statistical Physics

, Volume 70, Issue 5, pp 1391-1400

First online:

Absence of first-order phase transitions for antiferromagnetic systems

  • David KleinAffiliated withDepartment of Mathematics, California State University
  • , Wei-Shih YangAffiliated withDepartment of Mathematics, Temple University

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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.

Key words

Phase transition antiferromagnet Gibbs state free energy pressure Ising model