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A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically…

High Energy Physics - Theory · Physics 2009-10-28 Marco Vekic , Shao Liu , Herbert W. Hamber

The nature of magnetic correlation at low temperature in two-dimensional artificial magnetic honeycomb lattice is a strongly debated issue. While theoretical researches suggest that the system will develop a novel zero entropy spin solid…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 A. Glavic , B. Summers , A. Dahal , R. J. Kline , W. Van Herck , A. Sukhov , A. Ernst , D. K. Singh

We study theoretically the transport properties of a three-dimensional spin texture made from three orthogonal helices, which is essentially a lattice of monopole-antimonopole pairs connected by Skyrmion strings. This spin structure is…

Mesoscale and Nanoscale Physics · Physics 2016-12-01 Xiao-Xiao Zhang , Andrey S. Mishchenko , Giulio De Filippis , Naoto Nagaosa

We study the diffusion annihilation process which occurs when spin ice is quenched from a high temperature paramagnetic phase deep into the spin ice regime, where the excitations -- magnetic monopoles -- are sparse. We find that due to the…

Strongly Correlated Electrons · Physics 2014-11-20 C. Castelnovo , R. Moessner , S. L. Sondhi

In this work, we study and evaluate the impact of a periodic spin-lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon…

Statistical Mechanics · Physics 2024-01-30 R. M. L. Nascimento , Claudio J. DaSilva , L. S. Ferreira , A. A. Caparica

A nearest-neighbor-interaction Ising spin glass, in the presence of an external magnetic field, is studied on different hierarchical lattices that approach the cubic lattice. The magnetic field is considered as uniform, or random (following…

Statistical Mechanics · Physics 2009-06-10 Octavio R. Salmon , Fernando D. Nobre

We introduce an $xy$ generalization of the frustrated Ising model on a triangular lattice. The presence of continuous degrees of freedom stabilizes a {\em finite-temperature} spin state with {\em power-law} discrete spin correlations and an…

Condensed Matter · Physics 2009-10-22 P. Chandra , P. Coleman , L. B. Ioffe

We perform micromagnetic simulations of the magnetization distribution in inverse opal-like structures (IOLS) made from ferromagnetic materials (nickel and cobalt). It is shown that the unit cell of these complex structures, whose…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 I. S. Dubitskiy , A. V. Syromyatnikov , N. A. Grigoryeva , A. A. Mistonov , S. V. Grigoriev

Artificial spin systems, sometimes referred to as artificial spin ices, are arrays of coupled nanoscale magnets that order according to the lattice geometry, nanomagnet shape and magnetic anisotropy. Here we characterize a family of…

Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, $T$. We use a \emph{tie-breaking} rule to define interfaces of spin…

Statistical Mechanics · Physics 2009-07-17 A. A. Saberi

Magnetization dynamics in an artificial square spin-ice lattice made of Ni80Fe20 with magnetic field applied in the lattice plane is investigated by broadband ferromagnetic resonance spectroscopy. The experimentally observed dispersion…

Mesoscale and Nanoscale Physics · Physics 2016-03-03 M. B. Jungfleisch , W. Zhang , E. Iacocca , J. Sklenar , J. Ding , W. Jiang , S. Zhang , J. E. Pearson , V. Novosad , J. B. Ketterson , O. Heinonen , A. Hoffmann

While particle-based ices are often considered essentially equivalent to magnet-based spin ices, the two differ essentially in frustration and energetics. We show that at equilibrium particle-based ices correspond exactly to spin ices…

Soft Condensed Matter · Physics 2021-11-18 Cristiano Nisoli

In 1935, Pauling estimated the residual entropy of water ice with remarkable accuracy by considering the degeneracy of the ice rule {\it solely at the vertex level}. Indeed, his estimate works well for both the three-dimensional pyrochlore…

Statistical Mechanics · Physics 2015-06-11 Muir J. Morrison , Tammie R. Nelson , Cristiano Nisoli

We perform micromagnetic simulations to study the switching barriers in square artificial spin ice systems consisting of elongated single domain magnetic islands arranged on a square lattice. By considering a double vertex composed of one…

Geometrical designs of interacting nanomagnets have been studied extensively in the form of two dimensional arrays called artificial spin ice. These systems are usually designed to create geometrical frustration and are of interest for the…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Rehana Begum Popy , Julia Frank , Robert L. Stamps

Frustrated systems, typically characterized by competing interactions that cannot all be simultaneously satisfied, display rich behaviours not found elsewhere in nature. Artificial spin ice takes a materials-by-design approach to studying…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

We study the magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and…

Statistical Mechanics · Physics 2019-10-04 Ian Jordy Lopez Diaz , Nilton Silva Branco

Magnetic order on the spatially anisotropic triangular lattice of $\alpha$-NaMnO$_2$ is studied via neutron diffraction measurements. The transition into a commensurate, collinear antiferromagnetic ground state with $\mathbf{k}=(0.5, 0.5,…

Strongly Correlated Electrons · Physics 2018-11-14 Rebecca L. Dally , Robin Chisnell , Leland Harriger , Yaohua Liu , Jeffrey W. Lynn , Stephen D. Wilson

We introduce the Aleppo spin ice geometry, another variation of decimated square ice patterns, which in contrast to similar systems previously studied, does not exhibit vertex frustration. Using synchrotron-based photoemission electron…

The recently fabricated two-dimensional magnetic materials Cu9X2(cpa)6.xH2O (cpa=2-carboxypentonic acid; X=F,Cl,Br) have copper sites which form a triangular kagome lattice (TKL), formed by introducing small triangles (``a-trimers'') inside…

Statistical Mechanics · Physics 2008-07-24 Dao-Xin Yao , Yen Lee Loh , Erica W. Carlson , Michael Ma
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