Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Freire, Rodrigo Teixeira Santos; Plascak, J. A.; Costa, B. V.

doi:10.1590/s0103-97332004000300022

Cited by 6 publications

(9 citation statements)

References 10 publications

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“…For the exchange anisotropy, we stick to the parametrization J x = J y = J (1 + ) and J z ≡ J . Studies of the model (A1) have appeared before in the literature [21,22], and we complement these results here.…”

Section: Appendix: Model With Single-ion Anisotropysupporting

confidence: 69%

Competing orders, competing anisotropies, and multicriticality: The case of Co-dopedYbRh2Si2

et al. 2014

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Motivated by the unusual evolution of magnetic phases in stoichiometric and Co-doped YbRh 2 Si 2 , we study Heisenberg models with competing ferromagnetic and antiferromagnetic ordering combined with competing anisotropies in exchange interactions and g factors. Utilizing large-scale classical Monte Carlo simulations, we analyze the ingredients required to obtain the characteristic crossing point of uniform susceptibilities observed experimentally near the ferromagnetic ordering of Yb(Rh 0.73 Co 0.27 ) 2 Si 2 . The models possess multicritical points, which we speculate to be relevant for the behavior of clean as well as doped YbRh 2 Si 2 . We also make contact with experimental data on YbNi 4 P 2 , where a similar susceptibility crossing has been observed.

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Section: Appendix: Model With Single-ion Anisotropysupporting

confidence: 69%

Competing orders, competing anisotropies, and multicriticality: The case of Co-dopedYbRh2Si2

et al. 2014

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“…In Fig. 2 (right) we show the in-plane magnetization variation according as the temperature, hence it is evident that the in-plane ordering of the magnetic spins is quasi-absent in this particular case, in agreement with the previous works [24]. Fig.…”

Section: The Ferromagnetic Regionsupporting

confidence: 89%

Monte Carlo study on bilayer thin films magnetic properties dependence with discontinouos anisotropy parameters

Bîrsan

2008

Open Physics

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Abstract:In the last few years there has been significant interest in the field of thin films, due to numerous specific phenomena related to the low dimension of these systems, and to the large opportunities in development of high technologies based on their specific magnetic and electronic properties. When dealing with systems of reduced dimensionality it is important to take into account the influence of magnetic anisotropies. In this paper we investigate the magnetic properties of bilayer thin film. This behavior is modeled using Monte Carlo simulations, in the Extended Anisotropic Heisenberg Model. The magnetization, out-of-plane and in-plane magnetic susceptibilities, and also the specific heat bearings according to temperature are investigated in order to find the potential magnetic ordering phases and the critical temperatures, for two sets parameter assignments. For quasi-uniform anisotropy parameters of the film we detect the ferromagnetism-paramagnetism transition and then, by changing the model parameters values, we relieve a short range ferromagnetic ordering phase arising from the antiferromagnetic base layer coupling influence and from easy-plane anisotropy discontinuity on the layers interface. PACS

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“…In particular, it has been recently shown [4] that the multicritical point of the three-dimensional XXZ antiferromagnetic model on a cubic lattice in an external field is, in fact, despite previous debates, a bicritical point whose universality class is the same as the three-dimensional Heisenberg model. On the other hand, Andrade et al [2] have located the bicritical point on the three-dimensional anisotropic Heisenberg model in a crystal field corroborating our previous preliminary location at (D,T) = [3.95(4), 1.73 (3)] [3], where D is the crystal field in units of the exchange interaction and T is the temperature in units of the ratio of the exchange interaction and the Boltzmann constant. Those authors also claim that this point belongs to the three-dimensional Heisenberg universality class.…”

Section: Introductionsupporting

confidence: 81%

“…The phase diagram of this model is depicted in Fig. 1, as obtained in a previous work [3] for L = 14.…”

Section: Introductionmentioning

confidence: 90%

“…The three-dimensional classical anisotropic Heisenberg model with competing anisotropies gives rise to multicritical phenomena which have recently raised the interest of many researchers in systems as the XXZ antiferromagnetic model with crystalline anisotropy [1], the Heisenberg model with ferro-antiferromagnetic exchange interactions [2], and exchange ferromagnetic and crystalline anisotropies [2,3]. In particular, it has been recently shown [4] that the multicritical point of the three-dimensional XXZ antiferromagnetic model on a cubic lattice in an external field is, in fact, despite previous debates, a bicritical point whose universality class is the same as the three-dimensional Heisenberg model.…”

Section: Introductionmentioning

confidence: 99%

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Bicritical universality of the anisotropic Heisenberg model in a crystal field

Freire

Plascak

2015

Phys. Rev. E

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The bicritical properties of the three-dimensional classical anisotropic Heisenberg model in a crystal field are investigated through extensive Monte Carlo simulations on a simple cubic lattice, using Metropolis and Wolff algorithms. Field-mixing and multidimensional histogram techniques were employed in order to compute the probability distribution function of the extensive conjugate variables of interest and, using finite-size scaling analysis, the first-order transition line of the model was precisely located. The fourth-order cumulant of the order parameter was then calculated along this line and the bicritical point located with good precision from the cumulant crossings. The bicritical properties of this point were further investigated through the measurement of the universal probability distribution function of the order parameter. The results lead us to conclude that the studied bicritical point belongs in fact to the three-dimensional Heisenberg universality class.

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Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

Cited by 6 publications

References 10 publications

Competing orders, competing anisotropies, and multicriticality: The case of Co-dopedYbRh2Si2

Competing orders, competing anisotropies, and multicriticality: The case of Co-dopedYbRh2Si2

Monte Carlo study on bilayer thin films magnetic properties dependence with discontinouos anisotropy parameters

Bicritical universality of the anisotropic Heisenberg model in a crystal field

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