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We use Monte Carlo simulations to study a dynamically triangulated disk with Ising spins on the vertices and a boundary magnetic field. For the case of zero magnetic field we show that the model possesses three phases. For one of these the…

High Energy Physics - Lattice · Physics 2007-05-23 Scott McGuire , Simon Catterall , Mark Bowick , Simeon Warner

Using a first-principles Green's function approach we study magnetic properties of the magnetic binary chalcogenides Bi2Te3, Bi2Se3, and Sb2Te3. The magnetic coupling between transition-metal impurities is long-range, extends beyond a…

We study magnetic, transport and thermodynamic properties of the half-filled two-dimensional ($2D$) Hubbard model with layered distributed repulsive interactions using unbiased finite temperature quantum Monte Carlo simulations.…

Strongly Correlated Electrons · Physics 2017-02-27 Rubem Mondaini , Thereza Paiva

For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using the Fisher-Kasteleyn algorithm on a square lattice with…

Disordered Systems and Neural Networks · Physics 2020-02-04 Boris V. Kryzhanovsky , Magomed Yu. Malsagov , Iakov M. Karandashev

In this work, Monte Carlo simulation was implemented to study the phase diagrams and magnetic properties of a mixed spin (1-1/2-1) three-layer system with a cubic structure. In particular, the effects of the exchange and coupling parameters…

Statistical Mechanics · Physics 2022-03-02 Maen Gharaibeh , Ahmad Al-Qawasmeh , Abdalla Obeidat , Sufian Abedrabbo

With the developed "extended Monte Calro" (EMC) algorithm, we have studied the depinning transition in Ising-type lattice models by extensive numerical simulations, taking the random-field Ising model with a driving field and the driven…

Statistical Mechanics · Physics 2016-10-20 Lisha Sia , Xiaoyun Liao , Nengji Zhou

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

Strongly Correlated Electrons · Physics 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

In this paper, we have studied the critical temperature $T_c$ of continuous spin $2d$ square-lattice Ising model using Monte-Carlo simulation. We have considered spins $s$ in a bounded interval, where $s \in [-1,+1]$ in square-lattice…

We present results of a Monte Carlo study for the ferromagnetic Ising model with long range interactions in two dimensions. This model has been simulated for a large range of interaction parameter $\sigma$ and for large sizes. We observe…

Statistical Mechanics · Physics 2012-07-06 Marco Picco

The hysteresis curves of systems composed of small interacting magnetic particles, regularly placed on stacked layers, are obtained with Monte Carlo simulations. The remanence as a function of temperature, in interacting systems, presents a…

Materials Science · Physics 2009-11-10 Paola R. Arias , D. Altbir , M. Bahiana

The heterointerface between topological insulators and magnetic materials provides a crucial platform for investigating exotic electronic and magnetic phases, with implications for both fundamental studies and potential applications. A key…

Magneto-electric coupling enables the manipulation of magnetization by electric fields and vice versa. While typically found in heavy element materials with large spin-orbit coupling, recent experiments on rhombohedral-stacked pentalayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Jin-Xin Hu , Justin C. W. Song

Nanomagnetism concerns the engineering of magnetic interactions in heterostructures that consist of layers of magnetic and non-magnetic materials. Mostly, these interactions are dominated by the minimization of energy. Here, we propose an…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 William Huddie , Laura Filion , Marjolein Dijkstra , Rembert Duine

The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the…

Statistical Mechanics · Physics 2021-06-30 J. Koziol , A. Langheld , S. C. Kapfer , K. P. Schmidt

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for…

Condensed Matter · Physics 2015-06-24 Michel Pleimling , Alfred Hueller

We present numerical simulations of the 4D Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite size effects, suggest the existence of a spin glass phase transition. We present a preliminar…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Marinari , Carla Naitza , Francesco Zuliani

We study two different versions of the site-diluted Ising model in three dimensions with long-range spatially correlated disorder by Monte Carlo means. We use finite-size scaling techniques to compute the critical exponents of these…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. G. Ballesteros , G. Parisi

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. We…

Statistical Mechanics · Physics 2009-11-11 S. A. Cannas , M. F. Michelon , D. A. Stariolo , F. A. Tamarit

We discuss the magnetization $M_m$ in the $m$-th column of the zig-zag layered 2D Ising model on a half-plane using Kadanoff-Ceva fermions and orthogonal polynomials techniques. Our main result gives an explicit representation of $M_m$ via…

Mathematical Physics · Physics 2022-12-27 Dmitry Chelkak , Clément Hongler , Rémy Mahfouf
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