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The Ising bilayer honeycomb lattice: A cluster mean-field study

Author

Listed:
  • Rossato, Leonardo C.
  • Zimmer, F.M.
  • Morais, C.V.
  • Schmidt, M.

Abstract

We study the Ising model on a bilayer honeycomb lattice with frustrated antiferromagnetic interactions using the cluster mean-field method. We investigate the role of exchange couplings and thermal fluctuations, providing a picture for the global phase diagram of the model and its thermodynamics. Our findings indicate that the model hosts a highly frustrated regime, in which no long-range order takes place and a finite entropy is found at absolute zero. Near the highly frustrated regime, signatures of frustration can be spotted in the specific heat above the ordering temperature. In addition, our results support that the model exhibits order-by-disorder state selection and tricriticality for a wide range of parameters. A comparison of the cluster mean-field outcomes with literature data is given.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:621:y:2023:i:c:s0378437123003333
    DOI: 10.1016/j.physa.2023.128778
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    References listed on IDEAS

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    1. 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.
    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. Benjamin Canals & Ioan-Augustin Chioar & Van-Dai Nguyen & Michel Hehn & Daniel Lacour & François Montaigne & Andrea Locatelli & Tevfik Onur Menteş & Benito Santos Burgos & Nicolas Rougemaille, 2016. "Fragmentation of magnetism in artificial kagome dipolar spin ice," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
    4. Frantz, G.L.K. & Schmidt, M. & Zimmer, F.M., 2019. "Glassy behavior induced by magnetic field in a weakly disordered antiferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 464-471.
    5. Guerrero, Alejandra I. & Stariolo, Daniel A., 2017. "Pair correlations and structure factor of the J1-J2 square lattice Ising model in an external field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 596-606.
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