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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…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

The critical thermodynamics of an $MN$-component field model with cubic anisotropy relevant to the phase transitions in certain crystals with complicated ordering is studied within the four-loop $\ve$ expansion using the minimal subtraction…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

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…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the…

Statistical Mechanics · Physics 2009-10-28 F. C. Alcaraz , A. L. Malvezzi

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…

Statistical Mechanics · Physics 2007-05-23 A. I. Mudrov , K. B. Varnashev

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…

Statistical Mechanics · Physics 2009-10-31 J. M. Carmona , A. Pelissetto , E. Vicari

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…

Statistical Mechanics · Physics 2016-10-17 A. Kudlis , A. I. Sokolov

The phase diagram of a system with two order parameters, with ${\it n_1}$ and $n_2$ components, respectively, contains two phases, in which these order parameters are non-zero. Experimentally and numerically, these phases are often…

Statistical Mechanics · Physics 2023-05-23 A. Kudlis , A. Aharony , O. Entin-Wohlman

The critical behavior at the ordinary transition in semi-infinite n-component anisotropic cubic models is investigated by applying the field theoretic approach in d=3 dimensions up to the two-loop approximation. Numerical estimates of the…

Soft Condensed Matter · Physics 2009-11-10 Z. Usatenko , J. Spalek

We numerically investigate the non-equilibrium critical dynamics in three-dimensional anisotropic antiferromagnets in the presence of an external magnetic field. The phase diagram of this system exhibits two critical lines that meet at a…

Statistical Mechanics · Physics 2020-11-18 Riya Nandi , Uwe C. Täuber

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

Statistical Mechanics · Physics 2009-11-13 Andrea Pelissetto , Ettore Vicari

We have studied the effect of anisotropies on the quantum phase transition of the Kondo necklace model in dimensions D=1, 2 and 3. Both the anisotropy $\delta$ of the inter-site interaction term and anisotropy $\Delta$ of the on-site Kondo…

Strongly Correlated Electrons · Physics 2009-11-11 A. Langari , P. Thalmeier

The fixed point that governs the critical behavior of magnets described by the $N$-vector chiral model under the physical values of $N$ ($N =2, 3$) is shown to be a stable focus both in two and three dimensions. Robust evidence in favor of…

Statistical Mechanics · Physics 2009-11-07 P. Calabrese , P. Parruccini , A. I. Sokolov

Deconfined quantum criticality of two-dimensional $SU(2)$ quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP$^1$ model…

Strongly Correlated Electrons · Physics 2013-12-24 Flavio S. Nogueira , Asle Sudbo

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…

Condensed Matter · Physics 2009-10-31 M. Dudzinski , G. Fath , J. Sznajd

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…

Statistical Mechanics · Physics 2017-04-06 A. Kudlis , A. I. Sokolov

We study the quantum phase transition in the three-dimensional disordered itinerant antiferromagnet by Monte-Carlo simulations of the order-parameter field theory. We find strong evidence for the transition being controlled by an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rastko Sknepnek , Thomas Vojta

The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine model for magnetic to Kondo singlet quantum phase transitions in the heavy fermion (HF) compounds. The variation of the quantum critical point (QCP) with anisotropy…

Strongly Correlated Electrons · Physics 2018-02-02 P. Thalmeier , A. Langari

We have studied the antiferromagnetic order -- disorder transition occurring at $T=0$ in a 2-layer quantum Heisenberg antiferromagnet as the inter-plane coupling is increased. Quantum Monte Carlo results for the staggered structure factor…

Condensed Matter · Physics 2009-10-22 A. W. Sandvik , D. J. Scalapino

The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analyzed by means of the field…

Disordered Systems and Neural Networks · Physics 2016-11-23 M. Dudka , R. Folk , Yu. Holovatch
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