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Related papers: A new look on the two-dimensional Ising model: the…

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The nonequilibrium behaviour of a core-shell nanoparticle has been studied by Monte- Carlo simulation. The core consists of Ising spins of $\sigma=1/2$ and the shell contains Ising spins of $S=1$. The interactions within the core and in the…

Statistical Mechanics · Physics 2021-02-08 Erol Vatansever , Muktish Acharyya

Artificial spin ices are engineered arrays of dipolarly coupled nanobar magnets. They enable direct investigations of fascinating collective phenomena from their diverse microstates. However, experimental access to ground states in the…

Thermalization phenomena, while ubiquitous in quantum systems, have traditionally been viewed as obstacles to be mitigated. In this study, we demonstrate the ability, instead, to harness thermalization to dynamically engineer and stabilize…

Here an artificial spin ice (ASI) lattice is introduced that exhibits unique Ising and non-Ising behavior under specific field switching protocols because of the inclusion of coupled nanomagnets into the unit cell. In the Ising regime, a…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 R. Puttock , A. Manzin , V. Neu , F. Garcia Sanchez , A. Fernandez Scarioni , H. W. Schumacher , O. Kazakova

We approximate a 2D Ising spin glass by tiling an infinite square lattice with large identical unit cells. The interactions within the unit cell are random. Each such sample shows one or more critical points. We examine the scaling of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 David A Huse , Lee-Fen Ko

This paper investigates the transverse Ising model on a discretization of two-dimensional anti-de Sitter space. We use classical and quantum algorithms to simulate real-time evolution and measure out-of-time-ordered correlators (OTOC). The…

Quantum Physics · Physics 2023-12-05 Muhammad Asaduzzaman , Simon Catterall , Yannick Meurice , Goksu Can Toga

In this article, we have employed Monte Carlo simulations to study the Ising model on a two-dimensional additive small-world network (A-SWN). The system model consists of a LxL square lattice where each site of the lattice is occupied for a…

Statistical Mechanics · Physics 2022-10-19 R. A. Dumer , M. Godoy

Magnetic behaviour of a mixed spin-1/2 and spin-1 Ising model on the diced lattice is studied by the use of an exact star-triangle mapping transformation. It is found that the uniaxial as well as biaxial single-ion anisotropy acting on the…

Statistical Mechanics · Physics 2011-07-28 Michal Jascur , Jozef Strecka

The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the…

Statistical Mechanics · Physics 2016-08-08 Ajay Halder , Muktish Acharyya

We show that in colloidal models of artificial kagome and modified square ice systems, a variety of ordering and disordering regimes occur as a function of biasing field, temperature, and colloid-colloid interaction strength, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 C. J. Olson Reichhardt , A. Libal , C. Reichhardt

Phase transitions are emergent phenomena where microscopic interactions drive a disordered system into a collectively ordered phase. Near the boundary between two phases, the system can exhibit critical, scale-invariant behavior. Here, we…

Quantum Physics · Physics 2021-10-27 Yahel Horowicz , Or Katz , Oren Raz , Ofer Firstenberg

Numerical methods are used to examine the thermodynamic characteristics of the two-dimensional Ising model as a function of the number of spins N. Onsager's solution is generalized to a finite-size lattice, and experimentally validated…

Disordered Systems and Neural Networks · Physics 2017-06-09 M. Yu. Malsagov , I. M. Karandashev , B. V. Kryzhanovsky

Motivated by recent neutron scattering experiments, we study the ordering of spins in the iron-based superconductors La(O_{1-x}F_x)FeAs, assuming them in proximity to a Mott insulator in the phase diagram. The ground state of the parent…

Strongly Correlated Electrons · Physics 2009-11-13 Cenke Xu , Markus Mueller , Subir Sachdev

Artificial ice systems have been designed to replicate paradigmatic phenomena observed in frustrated spin systems. Here we present a detailed theoretical analysis based on Monte-Carlo simulations of the low energy phases in an artificial…

Statistical Mechanics · Physics 2019-04-17 Anne Le Cunuder , Irénée Frérot , Antonio Ortiz-Ambriz , Pietro Tierno

Asymmetric Ising model, in which coupled spins affect each other differently, plays an important role in diverse fields, from physics to biology to artificial intelligence. We show that coupled parametric oscillators provide a…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 C. Han , M. Wang , B. Zhang , M. I. Dykman , H. B. Chan

An exhaustive numerical investigation of the growth of magnetic films in confined $(d+1)$-dimensional stripped geometries ($d=1,2$) is carried out by means of extensive Monte Carlo simulations. Thin films in contact with a thermal bath are…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

We show using extensive simulation results and physical arguments that an Ising system on a two dimensional square lattice, having interactions of random sign between first neighbors and ferromagnetic interactions between second neighbors,…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Lemke , I. A. Campbell

In this letter, we have constructed and experimentally investigated frustrated arrays of dipoles forming two-dimensional artificial spin ices with different lattice parameters (rectangular arrays with horizontal and vertical lattice…

We investigate the performance of neural networks in identifying critical behaviour in the 2D Ising model with next-to-nearest neighbour interactions. We train DNN and CNN based classifiers on the Ising model configurations with nearest…

Geometrical frustration in magnetic materials often gives rise to exotic, low-temperature states of matter, like the ones observed in spin ices. Here we report the imaging of the magnetic states of a thermally-active artificial magnetic ice…

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