Journal of Statistical Physics

, Volume 70, Issue 5, pp 1391–1400

Absence of first-order phase transitions for antiferromagnetic systems

  • David Klein
  • Wei-Shih Yang
Short Communications

DOI: 10.1007/BF01049441

Cite this article as:
Klein, D. & Yang, WS. J Stat Phys (1993) 70: 1391. doi:10.1007/BF01049441


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 

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • David Klein
    • 1
  • Wei-Shih Yang
    • 2
  1. 1.Department of MathematicsCalifornia State UniversityNorthridge
  2. 2.Department of MathematicsTemple UniversityPhiladelphia

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