156 citations · 830 across the 34 of their papers we have counts for
28 papers · 1 filter
Six-loop expansion study of three-dimensional spin models
M. V. Kompaniets, A. Kudlis, A. I. Sokolov
The Landau-Wilson field theory with symmetry which describes the critical thermodynamics of frustrated spin systems with noncollinear and noncoplanar ordering is…
Universal effective couplings of the three-dimensional -vector model and field theory
A. Kudlis, A. I. Sokolov
We calculate the universal ratios of renormalized coupling constants entering the critical equation of state for the generalized Heisenberg (three-dimensional …
Anisotropy of a Cubic Ferromagnet at Criticality
A. Kudlis, A. I. Sokolov
Critical fluctuations change the effective anisotropy of cubic ferromagnet near the Curie point. If the crystal undergoes phase transition into orthorhombic phase and the initial a…
Universal effective coupling constants for the generalized Heisenberg model
A. I. Sokolov
The aim of this study is to find universal critical values of the dimensionless effective coupling constant and refined universal values for Heisenberg ferromagnets wit…
Critical exponents and the pseudo- expansion
M. A. Nikitina, A. I. Sokolov
We present the pseudo- expansions (-series) for the critical exponents of a three-dimensional -symmetric model obtained on the basis of six-loop renormalization-…
Field theory and anisotropy of cubic ferromagnet near Curie point
A. Kudlis, A. I. Sokolov
Critical fluctuations are known to change the effective anisotropy of cubic ferromagnet near the Curie point. If the crystal undergoes phase transition into orthorhombic phase and…
Critical Exponents of Superfluid Helium and Pseudo- Expansion
A. I. Sokolov, M. A. Nikitina
Pseudo- expansions (-series) for critical exponents of 3D XY model describing -transition in liquid helium are derived up to terms. Numerical estimates extracted fro…
Fisher Exponent from Pseudo- Expansion
A. I. Sokolov, M. A. Nikitina
Critical exponent for three-dimensional systems with -vector order parameter is evaluated in the frame of pseudo- expansion approach. Pseudo- expansion (-series) fo…
Pseudo- Expansion and Renormalized Coupling Constants at Criticality
A. I. Sokolov, M. A. Nikitina
Universal values of dimensional effective coupling constants that determine nonlinear susceptibilities and enter the scaling equation of state are calculated for…
Critical Exponents in Two Dimensions and Pseudo-ε Expansion
M. A. Nikitina, A. I. Sokolov
The critical behavior of two-dimensional -vector field model is studied within the framework of pseudo- expansion approach. Pseudo- expansions for Wilson fixed poin…
Pseudo-epsilon expansion and the two-dimensional Ising model
A. I. Sokolov
Starting from the five-loop renormalization-group expansions for the two-dimensional Euclidean scalar ϕ^4 field theory (field-theoretical version of two-dimensional Ising model), p…
Critical thermodynamics of two-dimensional N-vector cubic model in the five-loop approximation
P. Calabrese, E. V. Orlov, D. V. Pakhnin +1
The critical behavior of the two-dimensional N-vector cubic model is studied within the field-theoretical renormalization-group (RG) approach. The beta-functions and critical expon…
Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation
P. Calabrese, E. V. Orlov, D. V. Pakhnin +1
The critical thermodynamics of the two-dimensional N-vector cubic and MN models is studied within the field-theoretical renormalization-group (RG) approach. The beta functions and…
Critical thermodynamics of three-dimensional chiral model for N > 3
P. Calabrese, P. Parruccini, A. I. Sokolov
The critical behavior of the three-dimensional -vector chiral model is studied for arbitrary . The known six-loop renormalization-group (RG) expansions are resummed using the…
Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
P. Calabrese, E. V. Orlov, P. Parruccini +1
We analyse the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group approximation. The structure of the RG…
Nonlinear susceptibilities of a weakly-disordered uniaxial ferromagnet in the critical region
D. V. Pakhnin, A. I. Sokolov, B. N. Shalaev
For the three-dimensional random Ising model, the effective sextic coupling constant v_6 and the nonlinear susceptibilities of the fourth (chi_4) and sixth (chi_6) orders are calcu…
Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering
P. Calabrese, P. Parruccini, A. I. Sokolov
The fixed point that governs the critical behavior of magnets described by the -vector chiral model under the physical values of () is shown to be a stable focus bo…
Fluctuations and Landau-Devonshire expansion for barium titanate
A. I. Sokolov, A. K. Tagantsev
The experimentally observed temperature dependence of the quartic coefficients in the Landau-Devonshire expansion for BaTiO_3 is naturally accounted for within a proper fluctuation…
Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality
D. V. Pakhnin, A. I. Sokolov
For the three-dimensional cubic model, the nonlinear susceptibilities of the fourth, sixth, and eighth orders are analyzed and the parameters δ^(i) characterizing their reduced ani…
Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group
D. Loison, A. I. Sokolov, B. Delamotte +3
We study the critical behavior of frustrated systems by means of Pade-Borel resummed three-loop renormalization-group expansions and numerical Monte Carlo simulations. Amazingly, f…
Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
D. V. Pakhnin, A. I. Sokolov
The renormalization-group (RG) functions for the three-dimensional n-vector cubic model are calculated in the five-loop approximation. High-precision numerical estimates for the as…
Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis
S. A. Antonenko, A. I. Sokolov
The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, heli…
Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions
A. I. Sokolov, K. B. Varnashev
The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approa…
Renormalized sextic coupling constant for the two-dimensional Ising model from field theory
A. I. Sokolov, E. V. Orlov
The field-theoretical renormalization group approach is used to estimate the universal critical value g_6^* of renormalized sextic coupling constant for the two-dimensional Ising m…