The Study of Quasispin Systems in Reference System Approach

Yukhnovskii, I. R.; Levitskii,; Sorokov,

doi:10.5488/cmp.1.43

Cited by 4 publications

(11 citation statements)

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“…Later [26,[138][139][140] a self-consistent approach to the calculation of thermodynamic and dynamic characteristics of pseudospin systems with essential short-range and long-range interactions was proposed, based on calculations of the free energy functional with the reference taking into account the short-range correlations. A general method for obtaining consistent approximations for thermodynamic and dynamic characteristics was formulated.…”

Section: Introductionmentioning

confidence: 99%

“…A general method for obtaining consistent approximations for thermodynamic and dynamic characteristics was formulated. It should be noted that the obtained expressions for thermodynamic and dynamic characteristics of the pseudospin systems [26,[138][139][140] contain thermodynamic and correlation functions of the reference system, which includes the short-range correlations and the long-range interactions considered within the mean field approximation. For quantum reference pseudospin systems, a consistent formulation of the cluster expansion method was proposed for the first time.…”

Section: Introductionmentioning

confidence: 99%

“…In [138,140,141] the thermodynamic and dynamic characteristics of quasi-one-dimensional Ising model in transverse field were calculated within the reference approach. The obtained results were used in describing the experimental data for a quasi-one-dimensional ferroelectric CsH 2 PO 4 in the paraelectric phase.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics and dynamical properties of the KH_{2}PO_{4} type ferroelectric compounds. A unified model

Levitskii¹,

Zachek²,

Vdovych³

et al. 2009

Condens. Matter Phys.

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Within the framework of the proposed unified proton ordering model for the ferroelectric compounds of the KH 2 PO 4 family, in the four-particle cluster approximation for the short-range interactions and mean field approximation for the long-range interactions, we calculate thermodynamic and longitudinal dynamic characteristics of the KD 2 PO 4 type ferroelectrics and ND 4 D 2 PO 4 type antiferroelectrics. Calculations for partially deuterated K(H 1−x Dx) 2 PO 4 type ferroelectrics and N(H 1−x Dx) 4 (H 1−x Dx) 2 PO 4 type antiferroelectrics are performed within the mean crystal approximation. It is shown that at the proper choice of the theory parameters, a good quantitative description of experimental data for the KH 2 PO 4 family crystals is obtained.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermodynamics and dynamical properties of the KH_{2}PO_{4} type ferroelectric compounds. A unified model

Levitskii¹,

Zachek²,

Vdovych³

et al. 2009

Condens. Matter Phys.

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“…It has been successfully solved in studies of equilibrium properties of classical systems [15][16][17][18][19][20][21] and metals [21][22][23][24][25] with making use of the proposed in Refs. [15][16][17][18]22,24,25] approach. Within this approach, the long-range and short-range interactions are described in phase spaces of collective variables and individual coordinates, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Using the idea of separating reference system [15][16][17][18], in Refs. [26][27][28][29][30] a method was proposed for description of pseudospin systems with essential short-range and long-range interactions.…”

Section: Introductionmentioning

confidence: 99%

Reference Approach in Theory of Pseudospin Systems

Левицкий¹,

Sorokov²,

Baran³

2000

Condens. Matter phys.

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For theoretical description of pseudospin systems with essential shortrange and long-range interactions we use the method based on calculations of the free energy functional taking into account the short-range interactions within the reference approach in cluster approximation. We propose a consistent formulation of the cluster expansion method for quantum pseudospin systems. We develop a method allowing one to obtain within the cluster approximation an Ornstein-Zernike type equation for reference cumulant Green function of an arbitrary order. In the two-particle cluster approximation we derived an explicit expression for pair temperature cumulant Green function of the reference system. In the cluster random phase approximation we calculated and studied thermodynamic characteristics, elementary excitation spectrum, and integral intensities of the Ising model in transverse field.

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Longitudinal relaxation of mechanically clamped KH2PO4 type crystals

Левицкий¹,

Zachek²,

Vdovych³

2012

Condens. Matter Phys.

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Within the framework of a modified proton ordering model of the KH 2 PO 4 family ferroelectric crystals, taking into account a linear over the strain ε 6 contribution into the proton system energy, we obtain an expression for longitudinal dynamic dielectric permittivity of a mechanically clamped crystal using the four-particle cluster approximation and the dynamic Glauber approach. At a proper choice of the model parameters, we obtain a good quantitative description of available experimental data for these crystals.

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The Study of Quasispin Systems in Reference System Approach

Cited by 4 publications

References 0 publications

Thermodynamics and dynamical properties of the KH_{2}PO_{4} type ferroelectric compounds. A unified model

Thermodynamics and dynamical properties of the KH_{2}PO_{4} type ferroelectric compounds. A unified model

Reference Approach in Theory of Pseudospin Systems

Longitudinal relaxation of mechanically clamped KH2PO4 type crystals

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