The correlated cluster mean-field approach to the frustrated Ising model on the honeycomb lattice
Year: 2025
Type: preprint
Abstract: We study the $J_1$-$J_2$ Ising model on the honeycomb lattice, considering ferromagnetic interactions between first neighbors ($J_1$) and antiferromagnetic interactions between second neighbors ($J_2$). Our analysis is based on the correlated cluster mean field theory, which is adapted to incorporate competing interactions, providing estimates for the behavior of magnetization, internal energy, entropy, specific heat, and short-range correlations of the model. Our results indicate that the transition temperature of the ferromagnetic-paramagnetic phase transition decreases toward zero as the frustration maximum ($J_2/J_1 = -1/4$) is approached, and the thermodynamic quantities indicate only continuous phase transitions for $-1/4
Source: arXiv (Cornell University)
Authors: Batista, Carlos H. D., Schmidt, M., Zimmer, F. M.
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083844252
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