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Multicritical bifurcation on the Ising square lattice metamagnet: A cluster mean-field study

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Listed:
  • Muhl, I.F.
  • Roos, M.
  • Schmidt, M.

Abstract

The critical behavior of an antiferromagnetic Ising square lattice under a longitudinal magnetic field, considering antiferromagnetic nearest-neighbor (J1) and ferromagnetic next-nearest-neighbor (J2) interactions is studied using the cluster mean-field (CMF) theory. By adopting clusters of several sizes, we investigate the onset of the multicritical bifurcation, in which a tricritical point separates into a critical endpoint and a critical point, predicted to occur for J2/J1=−0.6 within the single-site mean-field theory. Despite critical endpoints and critical points occur for all cluster sizes considered, as the cluster size is increased, the range of J2/J1 in which these points appear is consistently reduced. Therefore, the multicritical bifurcation is not ruled out by the present CMF approach, but our findings support it takes place at a weaker strength of the second-neighbor couplings than predicted by the single-site mean-field treatment.

Suggested Citation

  • Muhl, I.F. & Roos, M. & Schmidt, M., 2026. "Multicritical bifurcation on the Ising square lattice metamagnet: A cluster mean-field study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 695(C).
    • Handle: RePEc:eee:phsmap:v:695:y:2026:i:c:s0378437126003663
    DOI: 10.1016/j.physa.2026.131630
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