Thorough Analysis of the Phase Diagram for the Bell–Lavis Model: An Entropic Simulational Study

Ferreira, L. S.; Jorge, L. N.; Silva, Claudio J. Da; Caparica, A. A.

doi:10.1007/s13538-021-00861-3

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…Fig. 3 shows typical equilibrium spin configurations of the non FM ground state patterns, namely stripes and checkerboard, for both symmetries obtained after a WL simulation [24]. Also, it is shown some configurations in the region of maximum frustration for n = 2.…”

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confidence: 99%

“…To perform the finite-size scaling (FSS) analysis at the maximum frustration, we used the outcome of the entropic simulations based on the WL algorithm. We ran sampling for lattice sizes of L = 28, 32, 36, 40, 44, 48, 52, 56, 64 e 72 with N = 24, 24,24,20,20,20,16,16,16, and 12 independent runs, respectively. The flatness criterion used was 80%.…”

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confidence: 99%

“…where E 1 and E 2 are, respectively E 1 = ij σ i σ j and E 2 = ij σ i σ j cos nφ ij [28]. Hence, the thermodynamic averages can be obtained for any value of the parameters T , J, and J a [24,29]. For these cases we used the lattice sizes L = 16, 20, 24, 28, 32, 36 e 40.…”

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Rotational symmetry breaking potential for two-dimensional magnets

DaSilva,

Ferreira,

Caparica

2021

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Here we present a new perspective to the breakdown of ferromagnetic order in two-dimensional spin-lattice models employing the rotation of the underlying lattice. Using an Ising spin system on a square lattice as a prototype, we demonstrate that an additional low-symmetry interaction may lead to the absence of the truly long-range order and forms aperiodic structure, such as magnetic stripes. Employing annealing and entropic Monte Carlo simulations, we show that our model allows tuning between different phases, magnetically ordered as well as more exotic nonmagnetic phases such as Ising-nematic by changing only one control parameter, which is responsible for the arising of magnetic frustration. In addition, our methodology of considering the coupling between the magnetic structure and the host material can be extended to the study of any type of spin-exchange model in two dimensions and has many potential interesting ramifications and applications.

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confidence: 99%