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Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

Low-temperature magnetization curves and thermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer with the antiferromagnetic intradimer interaction and either ferromagnetic or antiferromagnetic interdimer interaction are…

Statistical Mechanics · Physics 2018-11-28 Jozef Strecka , Katarina Karlova , Vasyl Baliha , Oleg Derzhko

We study the anisotropic Heisenberg spin-glass model in a three-dimensional hierarchical lattice (designed to approximate the cubic lattice), within a real-space renormalization-group approach. Two different initial probability…

Statistical Mechanics · Physics 2007-05-23 J. Ricardo de Sousa , Beatriz Boechat , Claudette Cordeiro , N. S. Branco

In Heisenberg models with exchange anisotropy, transverse spin components are not conserved and can decay not only by transport, but also by dephasing. Here we utilize ultracold atoms to simulate the dynamics of 1D Heisenberg spin chains,…

We study the S>1 nearest-neighbor Heisenberg model with a ferromagnetic interaction J and a large non-collinear <111> easy-axis anisotropy D on a pyrochlore lattice. For a finite D>>|J|, the low-energy physics is described by a < 111 >…

Statistical Mechanics · Physics 2010-10-29 Yang-Zhi Chou , Ying-Jer Kao

We investigate classical Heisenberg models on the distorted windmill lattice and discuss their applicability to the spin-$1/2$ spin liquid candidate PbCuTe$_2$O$_6$. We first consider a general Heisenberg model on this lattice with…

Strongly Correlated Electrons · Physics 2025-01-28 Anna Fancelli , Johannes Reuther , Bella Lake

We study the influence of surface anisotropy on the zero-temperature hysteretic properties of a small single-domain magnetic particle, and give an estimation of the anisotropy constant for which deviations from the Stoner-Wohlfarth model…

Statistical Mechanics · Physics 2009-11-07 H. Kachkachi , M. Dimian

We study the low-temperature physics of the $SU(2)$-symmetric spin-$1/2$ Heisenberg antiferromagnet on a pyrochlore lattice and find fingerprint evidence for the thermal spin-ice state in this frustrated quantum magnet. Our conclusions are…

Strongly Correlated Electrons · Physics 2016-05-04 Yuan Huang , Kun Chen , Youjin Deng , Nikolay Prokof'ev , Boris Svistunov

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

Strongly Correlated Electrons · Physics 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We introduce a constrained Monte Carlo method which allows us to traverse the phase space of a classical spin system while fixing the magnetization direction. Subsequently we show the method's capability to model the temperature dependence…

Materials Science · Physics 2013-10-22 P. Asselin , R. F. L. Evans , J. Barker , R. W. Chantrell , R. Yanes , O. Chubykalo-Fesenko , D. Hinzke , U. Nowak

We study a classical Ising model on the honeycomb lattice with local two-body interactions and present strong evidence that at low temperature it realizes a higher-rank Coulomb liquid with fracton excitations. We show that the excitations…

Strongly Correlated Electrons · Physics 2023-06-26 Benedikt Placke , Owen Benton , Roderich Moessner

Motivated by puzzling aspects of spin-glass behavior reported in frustrated magnetic materials, we theoretically investigate effects of magnetoelastic coupling in geometrically frustrated classical spin models. In particular, we consider…

Strongly Correlated Electrons · Physics 2014-10-28 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally…

The hysteresis behaviors of anisotropic S-1 Heisenberg model have been studied within the effective field theory with two spin cluster. After giving the phase diagrams, the effect of the crystal field and anisotropy in the exchange…

Statistical Mechanics · Physics 2015-12-09 Ümit Akıncı

The spin dynamics of the semiclassical Heisenberg model with uniaxial anisotropy, on the layered triangular lattice with antiferromagnetic coupling for both intralayer nearest neighbor interaction and interlayer interaction is studied both…

Strongly Correlated Electrons · Physics 2007-05-23 Ranjan Chaudhury

The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , W. Selke , R. Leidl

Here we consider the Ising-Heisenberg model in the expanded Kagom\'e lattice, also known as triangle-dodecagon (3-12) or star lattice. This model can still be understood as a decorated honeycomb lattice. Assuming that the Heisenberg spins…

Statistical Mechanics · Physics 2018-11-01 Onofre Rojas

We investigate the ground-state phase diagram of an anisotropic Heisenberg model on the honeycomb lattice with competing interactions. We use quantum Monte Carlo simulations, as well as linear spin-wave and Ising series expansions, to…

Strongly Correlated Electrons · Physics 2012-09-12 A. Kalz , M. Arlego , D. Cabra , A. Honecker , G. Rossini

Frustrated bilayer quantum magnets have attracted attention as flat-band spin systems with unconventional thermodynamic properties. We study the low-temperature properties of a frustrated honeycomb-lattice bilayer spin-$\frac{1}{2}$…

Strongly Correlated Electrons · Physics 2018-07-26 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter