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Critical and tricritical behavior of a selectively diluted triangular Ising antiferromagnet in a field


  • Borovský, M.
  • Žukovič, M.
  • Bobák, A.


We study a geometrically frustrated triangular Ising antiferromagnet in an external magnetic field which is selectively diluted with nonmagnetic impurities employing an effective-field theory with correlations and Monte Carlo simulations. We focus on the frustration-relieving effects of such a selective dilution on the phase diagram and find that it can lead to rather intricate phase diagrams in the dilution-field parameters space. In particular, in a highly (weakly) diluted system the frustration is greatly (little) relieved and such a system is found to display only the second(first)-order phase transitions at any field. On the other hand, for a wide interval of intermediate dilution values the transition remains second-order at low fields but it changes to first-order at higher fields and the system displays a tricritical behavior. The existence of the first-order transition in the region of intermediate dilution and high fields is verified by Monte Carlo simulations.

Suggested Citation

  • Borovský, M. & Žukovič, M. & Bobák, A., 2013. "Critical and tricritical behavior of a selectively diluted triangular Ising antiferromagnet in a field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 157-167.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:1:p:157-167
    DOI: 10.1016/j.physa.2012.08.016

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