The semi-infinite spin-3/2 Blume-Capel model

Bakchich, A.; Bouziani, M. El

doi:10.1088/0953-8984/11/32/306

Cited by 13 publications

(6 citation statements)

References 24 publications

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“…However, our phase diagram has the same behavior at low temperatures as that of the mixed spin-1/2 and spin-3/2 Ising ferrimagnetic system by using the MFA [13] and with the effective-field theory adapted to a double perovskite structure [25], the mixed spin-3/2 and spin-5/2 Ising ferrimagnetic model via the exact recursion relations on the Bethe lattice [20] and on the two-fold Cayley tree [23], and also the semi-infinite spin-3/2 Blume-Capel model by using the MFA [49]. In all these works, first-order phase transitions ending at critical points at low temperatures are proved.…”

Section: Resultsmentioning

confidence: 99%

Phase diagrams of the ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model under a longitudinal magnetic field

et al. 2019

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The ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model with a crystal field interaction in the absence and presence of a longitudinal magnetic field on a three-dimensional cubic lattice is studied within the framework both of the mean-field approximation (MFA) and Monte Carlo simulation (MCS). Using the MFA, we have shown the phase diagram of the model for zero magnetic field in the (anisotropy, temperature) plane in which the system exhibits firstand second-order phase transitions and critical end-points. Also, we have used the standard MCS to confirm the previous results; we have presented the temperature dependence of the sublattice and total magnetizations for different values of anisotropy in order to determine the phase diagram of the model in the absence of a longitudinal magnetic field. In addition, the influence of this last field on the magnetic properties of the model is investigated and discussed.

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Section: Resultsmentioning

confidence: 99%

Phase diagrams of the ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model under a longitudinal magnetic field

et al. 2019

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“…This was already met in the study of pure semi infinite models, see references [32] [57] [58]. But, the mean field theory finds such situations [30] [59]. Lipowski had already mentioned the expected difference between the two approaches (MF and RG), in the study of semi infinite Potts model [60].…”

Section: Resultsmentioning

confidence: 99%

Phase Diagrams of the Semi-Infinite Blume-Capel Model with Mixed Spins (SA = 1 and SB = 3/2) by Migdal Kadanoff Renormalization Group

Bouziani¹,

Madani²,

Gaye³

et al. 2016

WJCMP

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We study the mixed spin-1 and spin-3/2 Blume-Capel model under crystal field in the tridimensional semi-infinite case. This has been done by using the real-space renormalization group approximation and specifically the Migdal-Kadanoff technique. As a function of the ratio R of bulk and surface interactions and the ratios R 1 and R 2 of bulk and surface crystals fields on the spin-1 and spin-3/2 respectively, we have determined various types of phase diagrams. Besides secondorder transition lines, first-order phase transition lines terminating at tricritical points are obtained. We found that there existed nine main types of phase diagram showing a variety of phase transitions associated with the surface, including ordinary, extraordinary, surface and special phase transitions.

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“…To the best of our knowledge, this case has recently been investigated 13,14 within the framework both of the MFA and by a PSRG technique based on the Migdal-Kadanoff recursion relations, and four main types of phase diagram have been obtained as a function of the ratio R of bulk and surface interactions (RϭJ B /J S ) and the ratio D of bulk and surface crystal fields (Dϭ⌬ B /⌬ S ). Their domain of existence is classified as follows.…”

Section: Resultsmentioning

confidence: 99%

Surface phase transitions of the three-dimensional semi-infinite spin-32Blume-Emery-Griffiths model

Bakchich

Bouziani²

2000

Phys. Rev. B

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Surface critical behaviors of a three-dimensional semi-infinite spin-3 2 Blume-Emery-Griffiths model are investigated in the framework of the mean-field approximation, devoting particular attention to repulsive biquadratic couplings. Self-consistent equations for bulk and surface order parameters are calculated, from which analytical expressions for the second-order bulk and surface critical temperatures are derived. Various qualitative types of phase diagrams, characterizing phase transitions of the model, are determined and classified according to the values of the interactions on the surface and in the bulk of the system. Our analysis shows the existense of a large number of topologies revealing the occurrence of surface and extraordinary first-order transitions and reentrant phenomenon. Successive phase transitions involving all phases, among which highentropy ferrimagnetic and staggered quadrupolar orderings, and critical, tricritical, triple, multicritical, tetracritical, and five-phase coexistence points are also obtained.

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The semi-infinite spin-3/2 Blume-Capel model

Cited by 13 publications

References 24 publications

Phase diagrams of the ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model under a longitudinal magnetic field

Phase diagrams of the ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model under a longitudinal magnetic field

Phase Diagrams of the Semi-Infinite Blume-Capel Model with Mixed Spins (SA = 1 and SB = 3/2) by Migdal Kadanoff Renormalization Group

Surface phase transitions of the three-dimensional semi-infinite spin-32Blume-Emery-Griffiths model

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