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Related papers: Critical properties of the Antiferromagnetic \RP2$…

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We present the results of a Monte Carlo simulation of the antiferromagnetic RP(2) model in three dimensions. With finite-size scaling techniques we accurately measure the critical exponents and compare them with those of O(N) models. We are…

High Energy Physics - Lattice · Physics 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

We investigate by means of Monte Carlo simulation and Finite-Size Scaling analysis the critical properties of the three dimensional O(5) non linear sigma model and of the antiferromagnetic RP2 model, both of them regularized on a lattice.…

Statistical Mechanics · Physics 2009-11-11 L. A. Fernandez , V. Martin-Mayor , D. Sciretti , A. Tarancon , J. L. Velasco

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

Disordered Systems and Neural Networks · Physics 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

We present antiferromagnetism as a mechanism capable of modifying substantially the phase diagram and the critical behaviour of statistical mechanical models. This is particularly relevant in four dimensions, due to the connection between…

We study the near-equilibrium critical dynamics of the $O(3)$ nonlinear sigma model describing isotropic antiferromagnets with non-conserved order parameter reversibly coupled to the conserved total magnetization. To calculate response and…

Statistical Mechanics · Physics 2022-06-28 Louie Hong Yao , Uwe C. Täuber

We present a numerical study of 2D random-bond Potts ferromagnets. The model is studied both below and above the critical value $Q_c=4$ which discriminates between second and first-order transitions in the pure system. Two geometries are…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

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…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high…

Condensed Matter · Physics 2009-10-22 A. P. Gottlob , M. Hasenbusch

We discuss numerical results for the 1-D spin 1/2 antiferromagnetic Heisenberg model with next-to-nearest neighbour coupling and in the presence of an uniform magnetic field. The model develops zero frequency excitations at field dependent…

Condensed Matter · Physics 2016-08-15 J. F. Audet , A. Fledderjohann , C. Gerhardt , M. Karbach , H. Kröger , K. H. Mütter , M. Schmidt

We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Blavats'ka , M. Dudka , R. Folk , Yu. Holovatch

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

Disordered Systems and Neural Networks · Physics 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

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 exponents are calculated in the five-loop approximation, RG…

Statistical Mechanics · Physics 2016-08-31 P. Calabrese , E. V. Orlov , D. V. Pakhnin , A. I. Sokolov

We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition…

Strongly Correlated Electrons · Physics 2019-06-07 T. Schäfer , A. A. Katanin , M. Kitatani , A. Toschi , K. Held

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

Strongly Correlated Electrons · Physics 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

We present the results of a Monte Carlo simulation of the $RP^2$ model in three dimensions with negative coupling. We observe a second order phase transition between the disordered phase and an antiferromagnetic, unfrustrated, ordered one.…

High Energy Physics - Lattice · Physics 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

A field-theoretic description of the critical behavior of weakly disordered systems with a $p$-component order parameter is given. For systems of an arbitrary dimension in the range from three to four, a renormalization group analysis of…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. V. Prudnikov , V. V. Prudnikov

The critical dynamics of classical 3D Heisenberg model and complex model of the real antiferromagnetic Cr2O3 is investigated with use of the method of molecular dynamics. The dynamic critical exponent z are determined for these models on…

Statistical Mechanics · Physics 2013-02-11 A. K. Murtazaev , V. A. Mutailamov

Universal critical properties can manifest themselves not only in spatial but also in temporal directions. It has been found that critical point with emergent symmetry exhibits intriguing spatial critical properties characterized by two…

Statistical Mechanics · Physics 2025-02-10 Yu-Rong Shu , Ting Liao , Shuai Yin

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying…

Strongly Correlated Electrons · Physics 2015-11-10 C. M. Varma

We compute critical exponents of O(N) models in fractal dimensions between two and four, and for continuos values of the number of field components N, in this way completing the RG classification of universality classes for these models. In…

High Energy Physics - Theory · Physics 2015-05-08 A. Codello , N. Defenu , G. D'Odorico
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