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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 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

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

The site- and bond-dilution effects of the nonmagnetic ground state of a two-dimensional $S=1/2$ antiferromagnetic Heisenberg model, coupled with the lattice distortions on a square lattice, are investigated by performing quantum Monte…

Strongly Correlated Electrons · Physics 2019-01-25 Chitoshi Yasuda , Shouta Miyara

Monte Carlo simulations have been used to study a vortex-free XY ferromagnet with a random field or a random anisotropy on simple cubic lattices. In the random field case, which can be related to a charge-density wave pinned by random point…

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

We show that high concentration of skyrmions can be achieved in magnetic films with quenched disorder. A 2D system of Heisenberg spins with feromagnetic exchange, $J$, and random magnetic anisotropy of strength $D_R \ll J$ has been studied.…

Mesoscale and Nanoscale Physics · Physics 2017-10-31 E. M. Chudnovsky , D. A. Garanin

Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnetic field H_Q that is conjugate to the spin-glass order Q,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Burcu Yücesoy , A. Nihat Berker

We discuss theoretically static and dynamical properties of $XY$ and Heisenberg antiferromagnets on triangular lattice with random vacancies and substitutional spins. It is shown that the distortion of $120^\circ$ magnetic order produced by…

Strongly Correlated Electrons · Physics 2021-04-21 A. V. Syromyatnikov , F. D. Timkovskii

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

Hysteresis curves for finite arrays of $N\times N$ ferromagnetic nano dots subject to the dipole-dipole interaction are investigated for $N=2... 13$. Spin arrangements up to N=6 are presented, which indicate the onset of bulk-like behavior…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Amin Kayali , Wayne M. Saslow

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

This chapter is aimed at studying the anomalous magnetic properties (glassy behaviour) observed at low temperatures in nanoparticles of ferrimagnetic oxides. This topic is discussed both from numerical results and experimental data.…

Materials Science · Physics 2007-05-23 Amilcar Labarta , Xavier Batlle , Oscar Iglesias

We determine the arrangement of spins in the ground state of the XY model with quenched, random fields, on a fully connected graph. Two types of disordered fields are considered, namely randomly oriented magnetic fields, and randomly…

Statistical Mechanics · Physics 2024-04-01 Rajiv G Pereira , Ananya Janardhanan , Mustansir Barma

Effects of the site dilution on spin-gapped Heisenberg antiferromagnets with $S=1/2$ and S=1 on a square lattice are investigated by means of the quantum Monte Carlo method. It is found that effective magnetic moments induced around the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Chitoshi Yasuda , Synge Todo , Munehisa Matsumoto , Hajime Takayama

We study zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. We consider three distributions of the random field and present exact solutions in the mean field limit.…

Disordered Systems and Neural Networks · Physics 2015-05-19 Prabodh Shukla , R S Kharwanlang

The effects of the bimodal random field distribution on the thermal and magnetic properties of of the Heisenberg thin film have been investigated by making use of a two spin cluster with the decoupling approximation. Particular attention…

Statistical Mechanics · Physics 2015-06-17 Ümit Akıncı

We study the magnetic excitation spectrum in three-dimensional diluted ferromagnetic nearest-neighbor systems down to the percolation threshold. The disorder effects resulting from the dilution are handled accurately within self-consistent…

Strongly Correlated Electrons · Physics 2010-05-19 Akash Chakraborty , Georges Bouzerar

Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising…

Probability · Mathematics 2013-12-03 Gioia Carinci

We consider three mechanisms of hysteresis phenomena in alternating magnetic field: the domain wall motion in a random medium, the nucleation and the retardation of magnetization due to slow (critical) fluctuations. We construct…

Materials Science · Physics 2009-10-31 Igor F. Lyuksyutov , Thomas Nattermann , Valery Pokrovsky

We study the 1D quantum Heisenberg chain with randomly ferromagnetic or antiferromagnetic couplings (a model previously studied by approximate strong-disorder RG). We find that, at least for sufficiently large spin $S$, the ground state has…

Strongly Correlated Electrons · Physics 2024-08-26 Michele Fava , Jesper Lykke Jacobsen , Adam Nahum
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