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

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. Ou...

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Bibliographic Details
Published in:Physica A 2023-07, Vol.621, p.128778, Article 128778
Main Authors: Rossato, Leonardo C., Zimmer, F.M., Morais, C.V., Schmidt, M.
Format: Article
Language:English
Subjects:
Competing interactions
Frustration
Phase transitions
Residual entropy
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Summary: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. •The frustrated bilayer Ising model is studied within the cluster mean-field method.•The global phase diagram and thermodynamics are evaluated.•Order-by-disorder state selection and tricriticality are found in phase diagrams.•Signatures of strong frustration can be observed in thermodynamic quantities.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2023.128778