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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 anisotropy is not too strong, reduced anisotropy of nonlinear…

统计力学 · 物理学 2016-10-17 A. Kudlis , A. I. Sokolov

The global structure of the renormalization-group flows of a model with isotropic and cubic interactions is studied using the massive field theory directly in three dimensions. The four-loop expansions of the $\bt$-functions are calculated…

统计力学 · 物理学 2009-10-31 Konstantin Varnashev

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

高能物理 - 理论 · 物理学 2009-10-30 N. Tetradis

Six-loop massive scheme renormalization group functions of a d=3-dimensional cubic model (J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B vol. 61, 15136 (2000)) are reconsidered by means of the pseudo-epsilon expansion. The…

统计力学 · 物理学 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

The six-loop expansions of the renormalization-group functions of $\varphi^4$ $n$-vector model with cubic anisotropy are calculated within the minimal subtraction (MS) scheme in $4 - \varepsilon$ dimensions. The $\varepsilon$ expansions for…

统计力学 · 物理学 2019-02-20 L. Ts. Adzhemyan , E. V. Ivanova , M. V. Kompaniets , A. Kudlis , A. I. Sokolov

The complete analysis of a model with three quartic coupling constants associated with an O(2N)--symmetric, a cubic, and a tetragonal interactions is carried out within the three-loop approximation of the renormalization-group (RG) approach…

凝聚态物理 · 物理学 2009-10-30 Andrei Mudrov , Konstantin Varnashev

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 the initial anisotropy is not too strong, effective…

统计力学 · 物理学 2017-04-06 A. Kudlis , A. I. Sokolov

We consider the Ginzburg-Landau Hamiltonian with a cubic-symmetric quartic interaction and compute the renormalization-group functions to six-loop order in d=3. We analyze the stability of the fixed points using a Borel transformation and a…

统计力学 · 物理学 2009-10-31 J. M. Carmona , A. Pelissetto , E. Vicari

The renormalization group functions are calculated in $D=4-\epsilon$ dimensions for the $\phi^4$-theory with two coupling constants associated with an ${O}(N)$-symmetric and a cubic interaction. Divergences are removed by minimal…

凝聚态物理 · 物理学 2009-10-28 H. Kleinert , V. Schulte-Frohlinde

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

统计力学 · 物理学 2009-10-31 S. A. Antonenko , A. I. Sokolov

The detailed analysis of the global structure of the renormalization-group (RG) flow diagram for a model with isotropic and cubic interactions is carried out in the framework of the massive field theory directly in three dimensions (3D)…

统计力学 · 物理学 2008-12-18 Konstantin Varnashev

The critical behavior of a complex N-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is…

统计力学 · 物理学 2009-11-07 Andrei Mudrov , Konstantin Varnashev

Critical behaviour of a fluid, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. As a simplified model, relaxational stochastic dynamics of a non-conserved scalar order…

统计力学 · 物理学 2008-11-26 N. V. Antonov , A. A. Ignatieva

The zero temperature phase diagram of a one-dimensional S=2 Heisenberg ferromagnet with single-ion cubic anisotropy is studied numerically using the density-matrix renormalization group method. Evidence is found that although the model does…

凝聚态物理 · 物理学 2009-10-31 M. Dudzinski , G. Fath , J. Sznajd

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 calculated at criticality. These quantities are shown to differ…

统计力学 · 物理学 2009-11-07 D. V. Pakhnin , A. I. Sokolov , B. N. Shalaev

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) approach. The RG functions are calculated in the three-loop order…

统计力学 · 物理学 2009-10-31 A. I. Sokolov , K. B. Varnashev

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

强关联电子 · 物理学 2012-08-09 Xiang Hao

The renormalization group equations describing a finite 2DXY system with fourfold anisotropy are solved in two steps, in order to study the magnetic transition to paramagnetism in an ultrathin film. First, the equations are linearized near…

介观与纳米尺度物理 · 物理学 2022-07-27 D. Venus

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 model. Four-loop perturbative expansion for g_6 is calculated…

统计力学 · 物理学 2009-10-31 A. I. Sokolov , E. V. Orlov

The critical behavior of an MN-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in…

统计力学 · 物理学 2007-05-23 A. I. Mudrov , K. B. Varnashev
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