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Possible occurrence of an equilibrium thermodynamic phase with a spontaneously broken time-reversal symmetry is studied in a model ceramic superconductor with anisotropic pairing symmetry. It is shown by Monte Carlo simulations that such a…

Superconductivity · Physics 2009-10-30 Hikaru Kawamura , Mai Suan Li

The left-right chiral and ferromagnetic-antiferromagnetic double spin-glass clock model, with the crucially even number of states q=4 and in three dimensions d=3, has been studied by renormalization-group theory. We find, for the first time…

Statistical Mechanics · Physics 2017-09-20 Tolga Caglar , A. Nihat Berker

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , J. A. Plascak

We study the dynamical response of frustrated, quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets at finite temperatures. We allow for the presence of a Dzyaloshinskii-Moriya interaction. We concentrate on a model of weakly coupled…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet , Fabian H. L. Essler , Alexei M. Tsvelik , Alexander O. Gogolin

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. In contrast to the kagom\'e Heisenberg antiferromagnet, the model exhibits locally non-coplanar…

Statistical Mechanics · Physics 2009-11-07 Hikaru Kawamura , Takuya Arimori

The 3d Heisenberg model is studied from a dual point of view. It is shown that the disordered phase corresponds to condensation of vortices in the vacuum, and the critical indices are computed from the corresponding disorder parameter.

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , D. Martelli , G. Paffuti

Here we have simulated the random-bond type quenched disorder in 3D Heisenberg magnet.Here we have used classical Monte-Carlo simulation with Heisenberg spin and use 3D simple cubic lattice for this simulation.Here we use Metropolis single…

Statistical Mechanics · Physics 2023-10-03 Nepal Banerjee

Campos et al. [Phys. Rev. Lett. 97 (2006) 217204] claim that in the 3d Heisenberg Spin Glass, chiral and spin sector ordering temperatures are identical. We point out that in their analysis of their numerical data key assumptions are made…

Disordered Systems and Neural Networks · Physics 2009-11-13 I. A. Campbell , H. Kawamura

Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chiral symmetry breaking in the 3d Thirring model when the number of fermion flavors N_f<4.32 whereas others predict symmetry breaking for all N_f. Our…

High Energy Physics - Lattice · Physics 2008-11-26 Stavros Christofi , Simon Hands , Costas Strouthos

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the…

Disordered Systems and Neural Networks · Physics 2016-08-31 Enzo Marinari , Giorgio Parisi , Juan Ruiz-Lorenzo

We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, longrange vortex…

Superconductivity · Physics 2009-11-07 Anders Vestergren , Jack Lidmar , Mats Wallin

An overview is given of experimental data on Heisenberg Spin Glass materials so as to make detailed comparisons with numerical results on model Heisenberg spin glasses, with particular reference to the chiral driven ordering transition…

Disordered Systems and Neural Networks · Physics 2015-05-13 I. A Campbell , Dorothée C. M. C. Petit

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional $\pm J$ models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura , Shin-ichi Endoh , Takeo Yamamoto

We study the three-dimensional XY-spin glass as a model for the resistive behavior of granular superconductors containing a random distribution of $\pi$ junctions, as in high-$T_c$ superconducting materials with d-wave symmetry. The $\pi$…

Superconductivity · Physics 2009-10-31 Enzo Granato

Ordering of the Heisenberg spin glass in four dimensions (4D) with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations, with particular attention to its spin and chiral orderings. It is found that…

Disordered Systems and Neural Networks · Physics 2015-08-18 Hikaru Kawamura , Shinichirou Nishikawa

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

We calculate the spin stiffness of the S=1/2 frustrated Heisenberg antiferromagnet directly from a general formula which is evaluated in the Schwinger boson mean-field approximation. Both N\'eel and collinear ordering are considered. For…

Statistical Mechanics · Physics 2016-08-31 M. S. L. du Croo de Jongh , P. J. H. Denteneer

We reexamine the spin glass (SG) phase transition of the $\pm J$ Heisenberg models with and without the random anisotropy $D$ in three dimensions ($d = 3$) using complementary two methods, i.e., (i) the defect energy method and (ii) the…

Disordered Systems and Neural Networks · Physics 2009-11-10 F Matsubara , T Shirakura , S Endoh , S Takahashi

It is demonstrated via a numerical experiment (a Monte Carlo simulation) in the context of three-dimensional site-diluted Heisenberg spin systems that a functional dependence of the Binder ratio ($V_4$) on the order parameter correlation…

Statistical Mechanics · Physics 2022-09-01 Cezary Śliwa

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli