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Monte Carlo studies of the 3D random field $XY$ model on simple cubic lattices of size $64^3$, using two different isotropic random-field probability distributions of moderate strength, show a glassy freezing behavior above $T_c$, and…

Disordered Systems and Neural Networks · Physics 2010-01-20 Ronald Fisch

We perform Monte Carlo simulation to study the effects of random disorder on equilibrium phase transition of three-dimensional single-site anisotropic XY ferromagnet. The disorder is incorporated in two ways; having a randomly distributed…

Statistical Mechanics · Physics 2025-03-28 Olivia Mallick

The influence of defects of the "random local field" type with an anisotropic distribution of random fields on two-dimensional models with continuous symmetry of the vector order parameter is considered. In the case of weak anisotropy of…

Disordered Systems and Neural Networks · Physics 2020-03-02 A. A. Berzin , A. I. Morosov , A. S. Sigov

Classical anisotropic XY antiferromagnets in a field on square and simple cubic lattices are studied using mainly Monte Carlo simulations. While in two dimensions the ordered antiferromagnetic and spin--flop phases are observed to be…

Statistical Mechanics · Physics 2017-04-07 W. Selke , S. Wessel

We study random-field xy spin model at T=0 numerically on lattices of up to 1000 x 1000 x 1000 spins with the accent on the weak random field. Our numerical method is physically equivalent to slow cooling in which the system is gradually…

Disordered Systems and Neural Networks · Physics 2016-10-18 D. A. Garanin , E. M. Chudnovsky , T. Proctor

The anisotropic XY ferromagnet has been studied by Monte Carlo simulation in a three dimensional simple cubic lattice. The increase in critical temperature (ferro-para transition) has been noticed with increasing the strength of anisotropy.…

Statistical Mechanics · Physics 2024-05-03 Olivia Mallick , Muktish Acharyya

The three-dimensional anisotropic classical XY ferromagnet has been investigated by extensive Monte Carlo simulation using the Metropolis single spin flip algorithm. The magnetization ($M$) and the susceptibility ($\chi$) are measured and…

Statistical Mechanics · Physics 2023-09-26 Olivia Mallick , Muktish Acharyya

Ordering properties of XY-like spin-glass magnets with an easy-plane magnetic anisotropy are studied based on a symmetry consideration and the results of recent numerical simulations on the pure Heisenberg and XY spin-glass models. The…

Disordered Systems and Neural Networks · Physics 2015-05-27 Hikaru Kawamura

A variational approach for the free energy is used to study the three-dimensional anisotropic XY model in the presence of a crystal field. The magnetization and the phase diagrams as a function of the parameters of the Hamiltonian are…

Statistical Mechanics · Physics 2009-11-11 L. M. Castro , A. S. T. Pires , J. A. Plascak

Monte Carlo simulations have been used to study the Z6 ferromagnet in a random field on simple cubic lattices, which is a simple model for randomly pinned charge-density waves. The random field is chosen to have infinite strength on a…

Condensed Matter · Physics 2009-10-28 Ronald Fisch

We report a Monte Carlo study of the classical antiferromagnetic Heisenberg model with easy axis anisotropy on the triangular lattice. Both the free energy cost for long wavelength spin waves as well as for the formation of free vortices…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

Monte Carlo simulations have been used to study a discretized Heisenberg ferromagnet (FM) with random uniaxial single-site anisotropy on $L \times L \times L$ simple cubic lattices, for $L$ up to 64. The spin variable on each site is chosen…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ronald Fisch

As a simplified model of randomly pinned vortex lattices or charge-density waves, we study the random-field XY model on square ($d=2$) and simple cubic ($d=3$) lattices. We verify in Monte Carlo simulations, that the average spacing between…

Condensed Matter · Physics 2009-10-28 Michel J. P. Gingras , David A. Huse

XY and Heisenberg spins, subjected to strong random fields acting at few points in space with concentration $c_r \ll 1$, are studied numerically on 3d lattices containing over four million sites. Glassy behavior with strong dependence on…

Materials Science · Physics 2015-04-22 T. C. Proctor , E. M. Chudnovsky

We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having…

Statistical Mechanics · Physics 2014-01-07 D. A. Garanin , E. M. Chudnovsky , T. Proctor

We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

Strongly Correlated Electrons · Physics 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

We study the influence of spinless impurities on a frustrated magnet featuring a spin-density wave (stripe) phase by means of Monte Carlo simulations. We demonstrate that the interplay between the impurities and an order parameter that…

Disordered Systems and Neural Networks · Physics 2018-08-08 Shashikant Singh Kunwar , Arnab Sen , Thomas Vojta , Rajesh Narayanan

As a simplified model of randomly pinned vortex lattices or charge-density waves, we study the random-field XY model on square ($d=2$) and simple cubic ($d=3$) lattices. We argue, and confirm in simulations, that the spacing between…

Condensed Matter · Physics 2015-04-07 Michel J. P. Gingras , David A. Huse

Three-dimensional (3D) antiferromagnets with random magnetic anisotropy (RMA) experimentally studied to date do not have random single-ion anisotropies, but rather have competing two-dimensional and three-dimensional exchange interactions…

We illuminate the intriguing role played by spatial anisotropy in three-dimensional Luttinger semimetals featuring quadratic band touching and long-range Coulomb interactions. We observe the anisotropy to be subject to an exceptionally slow…

Strongly Correlated Electrons · Physics 2017-03-01 Igor Boettcher , Igor F. Herbut
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