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

Leonardo C. Rossato, F.M. Zimmer, C.V. Morais and M. Schmidt

Physica A: Statistical Mechanics and its Applications, 2023, vol. 621, issue C

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.

Keywords: Phase transitions; Competing interactions; Frustration; Residual entropy (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:621:y:2023:i:c:s0378437123003333

DOI: 10.1016/j.physa.2023.128778

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