Phase Transitions in Ising Square Antiferromagnets: A Controversial System

  • E. López-Sandoval
  • F. Aguilera-Granja
  • J. L. Morán-López

Abstract

The phase transitions occurring in the Ising square antiferromagnet with first- (J 1) and second- (J 2) nearest-neighbors interactions are studied as a function of the V(≡ J 2/J 1) parameter using the Monte Carlo simulation method. Our simulation results based on the analysis of the magnetization at the critical temperature indicate that the system undergoes a second-order phase transition for V < 0.5 and a first-order phase transition for 0.5 < V < 1.35. Our results confirm previous calculations performed within the 9-point approximation of the cluster variation method.

Keywords

Phase Transition Critical Temperature Monte Carlo Monte Carlo Step Tricritical Point 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • E. López-Sandoval
    • 1
  • F. Aguilera-Granja
    • 2
    • 3
  • J. L. Morán-López
    • 1
  1. 1.Instituto de FísicaUniversidad Autónoma de San Luis PotosíSan Luis Potosí, S. L. P.Mexico
  2. 2.Departamento de Física TeóricaUniversidad de ValladolidValladolidSpain
  3. 3.Instituto de FísicaUniversidad Autónoma de San Luis PotosíSan Luis Potosí, S. L. P.Mexico

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