https://doi.org/10.1140/epjb/s10051-024-00713-4
Regular Article - Statistical and Nonlinear Physics
2D triangular Ising model with bond phonons: an entropic simulation study
1
Instituto de Física, Universidade Federal de Goiás, Av. Esperança s/n, 74, 690-900, Goiânia, GO, Brazil
2
Instituto Federal de Goiás, Rua 76, Centro, Goiás, GO, Brazil
Received:
11
March
2024
Accepted:
24
May
2024
Published online:
14
June
2024
In this work, we study and evaluate the impact of a periodic spin–lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon propagation direction augmented by the symmetry of the underline lattice. The simplified analytical description of this new model brought us consistent information about its ground state and thermal behavior, and allowed us to highlight a singularity where the model behaves as several decoupled one-dimensional Ising systems. A thorough analysis was obtained via entropic simulations based on the Wang–Landau method that estimates the density of states g(E) to explore the phase diagram and other thermodynamic properties of interest. Also, we used the finite-size scaling technique to characterize the critical exponents and the nature of the phase transitions that, despite the strong influence of the spin–lattice coupling, turned out to be within the same universality class as the original 2D Ising model.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
