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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 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.…

统计力学 · 物理学 2009-11-11 L. A. Fernandez , V. Martin-Mayor , D. Sciretti , A. Tarancon , J. L. Velasco

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…

高能物理 - 格点 · 物理学 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

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.…

高能物理 - 格点 · 物理学 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

The short ranged antiferromagnetism recently seen in UPt_3 is proved incompatible with two dimensional (2D) order parameter models that take the antiferromagnetism as a symmetry breaking field. To adjust to the local moment direction, the…

超导电性 · 物理学 2009-10-31 Anupam Garg

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…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

A tensorial representation of $\phi^4$ field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We…

高能物理 - 理论 · 物理学 2018-07-04 Dietrich Roscher , Igor F. Herbut

We study the behavior of the antiferromagnetic RP$^2$ model in $d=3$. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical…

高能物理 - 格点 · 物理学 2011-02-21 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

We consider a RG flow in certain 2D coset models perturbed by the least relevant field. In the case of the symmetric su(2) coset model we show, up to second order of the perturbation theory, that there exists a nontrivial IR fixed point.We…

高能物理 - 理论 · 物理学 2018-11-21 Marian Stanishkov

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

强关联电子 · 物理学 2007-08-23 J. Reiss , D. Rohe , W. Metzner

Certain higher dimensional operators of the lagrangian may render the vacuum inhomogeneous. A rather rich phase structure of the phi4 scalar model in four dimensions is presented by means of the mean-field approximation. One finds para-…

高能物理 - 理论 · 物理学 2009-10-30 V. Branchina , H. Mohrbach , J. Polonyi

We study the phase diagram of the four dimensional O(4) model with first (beta1) and second (beta2) neighbor couplings, specially in the beta2 < 0 region, where we find a line of transitions which seems to be second order. We also compute…

高能物理 - 格点 · 物理学 2009-10-28 Isabel Campos , Luis A. Fernandez , Alfonso Tarancon

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for…

无序系统与神经网络 · 物理学 2018-07-10 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

It is shown that the four dimensional antiferromagnetic lattice phi4 model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar…

高能物理 - 理论 · 物理学 2009-10-30 V. Branchina , H. Mohrbach , J. Polonyi

The conformal version of the antisymmetric second-order tensor field in four spacetime dimensions does not have gauge invariance extensively discussed in the literature for more than half a century. Our first observation is that, when…

高能物理 - 理论 · 物理学 2025-02-19 Ilya L. Shapiro

Four-fermi models in dimensionality $2<d<4$ exhibit an ultra-violet stable renormalization group fixed point at a strong value of the coupling constant where chiral symmetry is spontaneously broken. The resulting field theory describes…

高能物理 - 格点 · 物理学 2016-08-31 Simon Hands , Aleksandar Kocic , John B. Kogut

The interplay between antiferromagnetism and d-wave superconductivity is studied in a mean-field approximation for a generic microscopic Hamiltonian with short-range repulsion and near-neighbor attraction. In the presence of competing…

强关联电子 · 物理学 2009-10-31 Bumsoo Kyung

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…

统计力学 · 物理学 2009-10-31 Christophe Chatelain , Bertrand Berche

We study the critical line of the triangular Ising antiferromagnet in an external magnetic field by means of a finite-size analysis of results obtained by transfer-matrix and Monte Carlo techniques. We compare the shape of the critical line…

统计力学 · 物理学 2009-11-10 X. F. Qian , M. Wegewijs , H. W. J. Bloete
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