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Phase diagram of the Ising square lattice with competing interactions

Author

Listed:
  • A. Kalz
  • A. Honecker
  • S. Fuchs
  • T. Pruschke

Abstract

We restudy the phase diagram of the 2D-Ising model with competing interactions J 1 on nearest neighbour and J 2 on next-nearest neighbour bonds via Monte-Carlo simulations. We present the finite temperature phase diagram and introduce computational methods which allow us to calculate transition temperatures close to the criticalpoint at J 2 =J 1 /2. Further on we investigate the character of the different phase boundariesand find that the transition is weakly first order formoderate J 2 > J 1 /2. Copyright Springer 2008

Suggested Citation

  • A. Kalz & A. Honecker & S. Fuchs & T. Pruschke, 2008. "Phase diagram of the Ising square lattice with competing interactions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(4), pages 533-537, October.
    • Handle: RePEc:spr:eurphb:v:65:y:2008:i:4:p:533-537
    DOI: 10.1140/epjb/e2008-00359-6
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    Cited by:

    1. Kapcia, Konrad Jerzy & Robaszkiewicz, Stanisław, 2016. "On the phase diagram of the extended Hubbard model with intersite density–density interactions in the atomic limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 487-497.
    2. Schmidt, M. & Kohlrausch, G.L. & Zimmer, F.M., 2022. "The frustrated Ising model on the body-centered cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    3. Rossato, Leonardo C. & Zimmer, F.M. & Morais, C.V. & Schmidt, M., 2023. "The Ising bilayer honeycomb lattice: A cluster mean-field study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).

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