Metastable and unstable states of the Blume–Capel model obtained by the cluster variation method and the path probability method

Ekiz, Cesur; Keskín, Mustafa; Yalçın, Orhan

doi:10.1016/s0378-4371(00)00595-1

Cited by 57 publications

(28 citation statements)

References 98 publications

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“…The inter-site interaction for simplicity can be presented by the short-range interaction e 2 α/6ǫa only, where α is Madelung constant, a is lattice parameter, e is charge of electron and ǫ is dielectric permittivity. At condition of small band width limit in the spin presentation the Hubbard model can be reflected onto the BEG model [4,15]:…”

Section: Discussion Of Spontaneous Polarization Originmentioning

confidence: 99%

“…Thermodynamics of such transition can be described in well-known Blume-Emery-Griffith (BEG) model [3] with two order parameters (dipolar and quadrupolar) and three possible values of pseudospin: -1, 0, +1. The most important future of BEG model is a presence of tricritical point (TCP) on states diagram [3,4] -while the decrease of temperature of phase transition by pressure or by alloying in mixed crystals, the transition becomes of first order. Indeed, below tricritical "waterline temperature" about 220-240 K and at compression above 0.6 GPa, the ferroelectric transition in Sn 2 P 2 S 6 evolves to first order [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Yevych

Haborets

Medulych

et al. 2016

Low Temperature Physics

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The valence fluctuations which are related to the charge disproportionation of phosphorous ions P 4+ + P 4+ → P 3+ + P 5+ are the origin of ferroelectric and quantum paraelectric states in Sn(Pb)2P2S6 semiconductors. They involve recharging of SnPS3 or PbPS3 structural groups which could be represented as half-filled sites in the crystal lattice. Temperature-pressure phase diagram for Sn2P2S6 compound and temperature-composition phase diagram for (PbySn1−y)2P2S6 mixed crystals, which include tricritical points and where a temperature of phase transitions decrease to 0 K, together with the data about some softening of low energy optic phonons and rise of dielectric susceptibility at cooling in quantum paraelectric state of Pb2P2S6 are analyzed by GGA electron and phonon calculations and compared with electronic correlations models. The anharmonic quantum oscillators model is developed for description of phase diagrams and temperature dependence of dielectric susceptibility.

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Section: Discussion Of Spontaneous Polarization Originmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Yevych

Haborets

Medulych

et al. 2016

Low Temperature Physics

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“…The behaviours of the competing metasatble states at infinite volume are studied [14] in dynamic BC model. The metastable and unstable states are obtained [15] by cluster variation and path probability method.…”

Section: Introductionmentioning

confidence: 99%

Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transition

Acharyya

Halder

2017

Journal of Magnetism and Magnetic Materials

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Abstract:The dynamical responses of Blume-Capel (S = 1) ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied separately in two dimensions by extensive Monte Carlo simulation. Depending on the values of temperature, amplitude of the propagating magnetic field and the strength of anisotropy, two different dynamical phases are observed. For a fixed value of anisotropy and the amplitude of the propagating magnetic field, the system undergoes a dynamical phase transition from a driven spin wave propagating phase to a pinned or spin frozen state as the system is cooled down. The time averaged magnetisation over a full cycle of the propagating magnetic field plays the role of the dynamic order parameter. A comprehensive phase diagram is plotted in the plane formed by the amplitude of the propagating wave and the temperature of the system. It is found that the phase boundary shrinks inward as the anisotropy increases. The phase boundary, in the plane described by the strength of the anisotropy and temperature, is also drawn. This phase boundary was observed to shrink inward as the field amplitude increases.

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“…This point can be observed as the transition temperature decreases due to pressure or by variation of chemical composition. In addition to the first-order transition line, at least metastable paraelectric and ferroelectric states are also predicted [3]. Moreover, the phase diagram could also be complicated, for example, by quadrupole-state occurrences [4].…”

mentioning

confidence: 99%

“…This potential can be related to Blume-EmeryGriffiths (BEG) model for analysis of systems with 0 and ±1 pseudospin [2][3][4]. Such a model predicts the possibility of a tricritical point (TCP) in state diagrams where a line of second-order phase transitions (PT) is transformed into a first-order transition line.…”

mentioning

confidence: 99%

Ferroelectricity in (Pb_ySn_1−y)₂P₂S₆ mixed crystals and random field BEG model

Rushchanskii

Bilanych

Molnar

et al. 2015

Physica Status Solidi (b)

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In Sn2P2S6 ferroelectric under compression, the second‐order phase transition line is observed down to the tricritical point as the transition temperature decreases to 250 K. A tricriticality at a similar temperature is also revealed in the mixed crystals on S→Se substitution. For the mixed crystals with Sn→Pb substitution, ultrasound, hypersound, and low‐frequency dielectric studies also show heterophase features appearing on decrease of the ferroelectric transition temperature below a so‐called “waterline temperature” near 250 K. Such behavior agrees with the Blume–Emery–Griffiths (BEG) model appropriate for the ferroelectric system under investigation with a three‐well local potential for the order parameter fluctuations. The BEG model modified by the random‐field phase diagram in the vicinity of the tricritical point qualitatively explains the influence of the cationic substitution on the (PbySn1−y)2P2S6 ferroelectric properties.

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Metastable and unstable states of the Blume–Capel model obtained by the cluster variation method and the path probability method

Cited by 57 publications

References 98 publications

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transition

Ferroelectricity in (Pb_ySn_1−y)₂P₂S₆ mixed crystals and random field BEG model

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Metastable and unstable states of the Blume–Capel model obtained by the cluster variation method and the path probability method

Cited by 57 publications

References 98 publications

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transition

Ferroelectricity in (PbySn1−y)2P2S6 mixed crystals and random field BEG model

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Ferroelectricity in (Pb_ySn_1−y)₂P₂S₆ mixed crystals and random field BEG model