Effects of the random single-ion anisotropy and random magnetic field in the spin-3/2 Blume–Capel model

Silva, W.P. da; Arruda, Paulo Henrique Zanella de; Tunes, T.M.; Godoy, M.; Arruda, A.S. de

doi:10.1016/j.jmmm.2016.08.094

Cited by 15 publications

(3 citation statements)

References 47 publications

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“…Disordered magnetic systems represent a great challenge in condensed matter physics since their properties are richer and more complex than their pure, non-disordered, counterparts [2]. In particular, multicritical behavior and reentrance phenomena in disordered magnetic systems have been the subject of recent studies [3,4,5,6,7,8,9]. Due to both theoretical and experimental importance some attention has been devoted to models under the presence of random fields [2,10,11].…”

Section: Introductionmentioning

confidence: 99%

The random field Blume-Capel model revisited

Santos

Costa

Araújo

2018

Journal of Magnetism and Magnetic Materials

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We have revisited the mean-field treatment for the Blume-Capel model under the presence of a discrete random magnetic field as introduced by Kaufman and Kanner. The magnetic field ($H$) versus temperature ($T$) phase diagrams for given values of the crystal field $D$ were recovered in accordance to Kaufman and Kanner original work. However, our main goal in the present work was to investigate the distinct structures of the crystal field versus temperature phase diagrams as the random magnetic field is varied because similar models have presented reentrant phenomenon due to randomness. Following previous works we have classified the distinct phase diagrams according to five different topologies. The topological structure of the phase diagrams is maintained for both $H-T$ and $D-T$ cases. Althoug the phase diagrams exhibit a richness of multicritical phenomena we did not found any reentrant effect as have been seen in similar models.Comment: 21 pages, 5 figure

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Section: Introductionmentioning

confidence: 99%

The random field Blume-Capel model revisited

Santos

Costa

Araújo

2018

Journal of Magnetism and Magnetic Materials

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“…This model is very useful for describing disordered systems as long as random single-ion anisotropy [14] is incorporated, random magnetic fields [15][16][17][18], and disorders in the couplings between the spins [19]. Other disordered systems are formed by two sublattices with different spins that are subjected to random single-ion anisotropy [20][21][22][23] and random magnetic field [24].…”

Section: Introductionmentioning

confidence: 99%

Critical behavior of the spin-3/2 Blume Capel quantum model with two random transverse single-ion anisotropies

Souza,

Godoy,

de Arruda

et al. 2020

Preprint

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Using the approach based on the Bogoliubov inequality for free energy, we have studied the magnetic properties of the spin-3/2 Blume-Capel quantum model in the presence of the random transverse single-ion anisotropy (RTSIA). By analyzis of the phase diagrams in τ × ϕx, m × ϕx and m × τ plans, we have obtained information about how the presence of anisotropy affects the properties of the system. We have shown that the RTSIA is responsible for changing the topology of the phase diagrams, compared to the pure model, leading to the appearance tricritical point (TCP).

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“…In some of the works, instead of H the nearest-neighbor bilinear exchange interaction parameter J is considered, for example, the random J model on a honeycomb lattice in the EFT with correlation [25], in a longitudinal random field with crystal field by using the EFT with correlations [26], in the transverse Ising model with the longitudinal random field on a honeycomb lattice within the EFT with correlations [27], on a simple cubic lattice with H and random J and random crystal field effects in the EFT [28] and the random crystal field and random H effects via the Curie-Weiss mean-field approximation [29]. It is found that the randomness included models give much more interesting and richer phase diagrams when compared with the regular models.…”

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confidence: 99%

Antiferromagnetic Spin-3/2 Ising Model Under the Influence of Random Crystal Field

2020

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The critical behaviors of the antiferromagnetic spin-3/2 Ising model are studied by using the exact recursion relations (ERR) in the presence of a random crystal field on the Bethe lattice (BL). The sublattice order parameters, magnetizations, and quadrupolar moments are obtained in terms of ERRs under the effect of random crystal field which was either turned on or off with probability p and 1 − p, respectively, in a bimodal form. The nature of phase transitions, thus, the phase diagrams of the model are calculated on the (H, T) planes for the randomly changing crystal field values with probability p for the coordination numbers q = 3 and 4. It is found that the model exhibits both second-and first-order phase transitions in addition to some critical points, i.e., tricritical point (TCP), critical end point, double critical point, and isolated end point. We have also observed the reentrant behavior for some values of our system parameters.

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Effects of the random single-ion anisotropy and random magnetic field in the spin-3/2 Blume–Capel model

Cited by 15 publications

References 47 publications

The random field Blume-Capel model revisited

The random field Blume-Capel model revisited

Critical behavior of the spin-3/2 Blume Capel quantum model with two random transverse single-ion anisotropies

Antiferromagnetic Spin-3/2 Ising Model Under the Influence of Random Crystal Field

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