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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

We study the kinetics after a low temperature quench of the one-dimensional Ising model with long range interactions between spins at distance $r$ decaying as $r^{-\alpha}$. For $\alpha =0$, i.e. mean field, all spins evolve coherently…

Statistical Mechanics · Physics 2021-05-19 Federico Corberi , Alessandro Iannone , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We present a theoretical study of a system with competing short-range ferromagnetic attraction and a long-range anti-ferromagnetic repulsion, in the presence of a uniform external magnetic field. The interplay between these interactions, at…

Statistical Mechanics · Physics 2009-04-04 T. Ferraro , A. Coniglio , M. Zannetti

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

Statistical Mechanics · Physics 2016-08-31 Dragi Karevski , Malte Henkel

Weakly coupled Ising chains provide a condensed-matter realization of confinement. In these systems, kinks and antikinks bind into mesons due to an attractive interaction potential that increases linearly with the distance between the…

Statistical Mechanics · Physics 2020-07-20 Flavia B. Ramos , Mate Lencses , J. C. Xavier , Rodrigo G. Pereira

The spin-1 Heisenberg model on a triangular lattice with the ferromagnetic nearest, $J_1=-(1-p)J,$ $J>0$, and antiferromagnetic third-nearest-neighbor, $J_3=pJ$, exchange interactions is studied in the range of the parameter $0 \leqslant p…

Strongly Correlated Electrons · Physics 2015-06-04 Pavel Rubin , Alexei Sherman , Michael Schreiber

Spin-1/2 orthogonal-dimer chain composed of regularly alternating Ising and Heisenberg dimers is exactly solved in a presence of the magnetic field by the transfer-matrix method. It is shown that the ground-state phase diagram involves in…

Statistical Mechanics · Physics 2020-09-04 L. Gálisová , J. Strečka , T. Verkholyak , S. Havadej

In this report we have analyzed a simple effective model for a description of magnetically ordered insulators. The Hamiltonian considered consists of the effective on-site interaction (U) and the intersite Ising-like magnetic exchange…

Strongly Correlated Electrons · Physics 2023-07-19 Szymon Murawski , Konrad Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

The disordered antiferromagnet \pfn (\pfns) is investigated in a wide temperature range by combining M\"ossbauer spectroscopy and neutron diffraction experiments. It is demonstrated that the magnetic ground state is a {\it microscopic}…

Strongly Correlated Electrons · Physics 2013-06-18 S. Chillal , M. Thede , F. J. Litterst , S. N. Gvasaliya , T. A. Shaplygina , S. G. Lushnikov , A. Zheludev

The mechanisms of thermally activated magnetization switching in small ferromagnetic particles driven by an external magnetic field are investigated. For low uniaxial anisotropy the spins rotate coherently while for sufficiently large…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , D. Hinzke

The Ising model with ferromagnetic interactions that decay as $1/r^\alpha$ is analyzed in the non-extensive regime $0\leq\alpha\leq d$, where the thermodynamic limit is not defined. In order to study the asymptotic properties of the model…

Condensed Matter · Physics 2009-10-28 S. A. Cannas , F. A. Tamarit

We study the 1D ferromagnetic Ising (spin-1/2) model with the Dzyaloshinskii-Moriya (DM) interaction. We analyze the low energy excitation spectrum and the ground state magnetic phase diagram using the Lanczos method. The DM…

Strongly Correlated Electrons · Physics 2011-10-04 M. R. Soltani , S. Mahdavifar , Alireza Akbari , A. A. Masoudi

The dynamical Ising model under the effect of the amplitude modulated time dependent periodic magnetic field has been solved by using EFT with Glauber type of stochastic process. Several cases with amplitude modulation have been…

Statistical Mechanics · Physics 2019-06-26 Ümit Akıncı

The physical origin of the backbendings in the equations of state of finite but not necessarily small systems is studied in the Ising model with fixed magnetization (IMFM) by means of the topological properties of the observable…

Statistical Mechanics · Physics 2009-11-10 F. Gulminelli , J. M. Carmona , Ph. Chomaz , J. Richert , S. Jimenez , V. Regnard

We developed a micromagnetic method for modeling magnetic systems with periodic boundary conditions along an arbitrary number of dimensions. The main feature is an adaptation of the Ewald summation technique for evaluation of long-range…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Aleksander L. Wysocki , Vladimir P. Antropov

We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance $r$ as $1/r^\alpha$ in $D=2$ and $3$ spatial dimensions. In stark contrast to the Ising model, we find a broad parameter regime…

Quantum Physics · Physics 2020-12-30 Michael A. Perlin , Chunlei Qu , Ana Maria Rey

We discuss theoretically a frustrated Heisenberg antiferromagnet in magnetic field close to the saturation one. It is demonstrated that a small biaxial anisotropy and/or the magnetic dipolar interaction produce a delicate balance between…

Strongly Correlated Electrons · Physics 2021-02-24 O. I. Utesov , A. V. Syromyatnikov

A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice suggests an approximate expression for the microcanonical…

Statistical Mechanics · Physics 2011-03-22 Lapo Casetti , Cesare Nardini , Rachele Nerattini

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky