An entropic simulational study of the spin-1 Baxter–Wu model in a crystal field

Jorge, L. N.; Martins, P. H. L.; DaSilva, Cláudio J.; Ferreira, L. S.; Caparica, A. A.

doi:10.1016/j.physa.2021.126071

Cited by 9 publications

(13 citation statements)

References 43 publications

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“…We expect a similar study for p ≥ 3 p-spin model would also result in new ordered states and rich phase diagram. A study of the model on a triangular lattice to look for the possibility of multiple transitions in finite dimensions would also be interesting [17][18][19]. and q in terms of m and H via Eq.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…where r and ∆ are the bias of the distribution and the strength of the random-crystal field respectively. The r = 0 and 1 corresponds to the dilute BW model for p = 3 [16][17][18][19]. We consider ∆ > 0 and 0 ≤ r ≤ 1 throughout this paper.…”

Section: Modelmentioning

confidence: 99%

“…[15]. The spin-1 BW model with pure crystal field has attracted a lot of recent attention [16][17][18][19]. In this paper we report the behaviour of the pRCBCM for any p ≥ 3, including the p → ∞ limit, for bimodal and Gaussian distributions of the random-crystal field on a fully connected graph.…”

Section: Introductionmentioning

confidence: 96%

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Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model

Das

2022

Preprint

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We study a p-spin model with ferromagnetic coupling and quenched random-crystal fields for p ≥ 3 for spin-1 systems. We find that the model has lines of first order transitions at finite temperature (T ) for all p ≥ 3. For bimodal distribution of the random-crystal field these lines meet at a triple point for weak strength of the crystal field (∆). Beyond a critical strength of ∆, they do not meet and one of the lines ends at a critical point (T c ). Interestingly, we find that on increasing T from T c keeping other parameters fixed, the system undergoes one more transition which is first order in its character. The system thus exhibits a Gardner like transition for a range of parameters for all finite p ≥ 3. For p → ∞ the model behaves differently and there is only one random first order transition at T = 0.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

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Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model

Das

2022

Preprint

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“…Figure1: (a) Phase diagram of the 2D spin-1 Baxter-Wu model with the ferromagnetic and paramagnetic phases separated by a continuous transition for larger T (solid line) and a firstorder transition for smaller T (dotted line). The line segments meet at the pentacritical point (∆ pp , T pp ) ≈ (0.8902, 1.4)[6] marked by the black rhombus, where three ferrimagnetic configurations and a ferromagnetic configuration, along with that of zero spins coexist[6,7,8]. The dashed arrow at T = 2.1 indicates the temperature choice of our simulations that corresponds to ∆ ≈ −3.5, see also figure2(a).…”

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confidence: 93%

Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Fytas

Vasilopoulos

Vatansever

et al. 2022

J. Phys.: Conf. Ser.

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We investigate aspects of universality in the two-dimensional (2D) spin-1 Baxter-Wu model in a crystal field Δ using a parallel version of the multicanonical algorithm employed at constant temperature T. A detailed finite-size scaling analysis in the continuous regime of the Δ – T phase diagram of the model indicates that the transition belongs to the universality class of the 4-state Potts model. The presence of first-order-like finite-size effects that become more pronounced as one approaches the pentacritical point of the model is highlighted and discussed.

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“…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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confidence: 99%

Rotational symmetry breaking potential for two-dimensional magnets

DaSilva,

Ferreira,

Caparica

2021

Preprint

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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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An entropic simulational study of the spin-1 Baxter–Wu model in a crystal field

Cited by 9 publications

References 43 publications

Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model

Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model

Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Rotational symmetry breaking potential for two-dimensional magnets

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