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We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first…

无序系统与神经网络 · 物理学 2009-11-07 Peter Gillin , Hidetoshi Nishimori , David Sherrington

Some strongly frustrated magnets such as the "spin-ice" compounds fail to produce any magnetic order at finite temperatures even in the presence of magnetic field. Still they have very unusual low-temperature thermodynamic properties…

材料科学 · 物理学 2010-05-18 P. N. Timonin

This paper contains three types of results: 1. the construction of ground state solutions for a long-range Ising model whose interfaces stay at a bounded distance from any given hyperplane, 2. the construction of nonlocal minimal surfaces…

偏微分方程分析 · 数学 2018-11-22 Matteo Cozzi , Serena Dipierro , Enrico Valdinoci

We perform the high-performance computation of the ferromagnetic Ising model on the pyrochlore lattice. We determine the critical temperature accurately based on the finite-size scaling of the Binder ratio. Comparing with the data on the…

计算物理 · 物理学 2017-02-03 Konstantin Soldatov , Konstantin Nefedev , Yukihiro Komura , Yutaka Okabe

We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes,…

统计力学 · 物理学 2008-03-31 Roman Krcmar , Andrej Gendiar , Kouji Ueda , Tomotoshi Nishino

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

统计力学 · 物理学 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

We propose a spin model with a new kind of ferromagnetic interaction, which may be called {\it ferromagnetic coupling with threshold}. In this model the contribute of a given spin to the total energy has only two possible values and depends…

凝聚态物理 · 物理学 2009-10-28 Emilio N. M. Cirillo , Sebastiano Stramaglia

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

Itinerant ferromagnetism in cold Fermi gases with repulsive interactions is studied applying the Jastrow-Slater approximation generalized to finite polarization and temperature. For two components at zero temperature a second order…

量子气体 · 物理学 2015-05-20 Henning Heiselberg

We present a micromagnetic formulation for modeling the magnetization dynamics and thermal equilibrium in ferrimagnetic materials at low and elevated temperatures. The formulation is based on a mean field approximation (MFA). In this…

材料科学 · 物理学 2021-11-30 Marco Menarini , Vitaliy Lomakin

It is shown by Monte Carlo method that the finite size scaling (FSS) holds in the two dimensional random-coupled Ising ferromagnet. It is also demonstrated that the form of universal FSS function constructed via novel FSS scheme depends on…

统计力学 · 物理学 2009-10-31 Jae-Kwon Kim

The ferromagnetic transition in the Ising model is the paradigmatic example of ergodicity breaking accompanied by symmetry breaking. It is routinely assumed that the thermodynamic limit is taken with free or periodic boundary conditions.…

统计力学 · 物理学 2019-04-18 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

统计力学 · 物理学 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

Finite-size scaling, finite-size corrections, and boundary effects for critical systems have attracted much attention in recent years. Here we derive exact finite-size corrections for the free energy F and the specific heat C of the…

统计力学 · 物理学 2011-06-20 N. Sh. Izmailian , K. B. Oganesyan , Chin-Kun Hu

Motivated by recent reports (Phys. Rev. B\textbf{80}, 241102) of room-temperature ferromagnetism in vanadium-oxide based superlattices, a single-site dynamical mean field study of the dependence of the paramagnetic-ferromagnetic phase…

强关联电子 · 物理学 2013-06-04 Hung T. Dang , Andrew J. Millis

We study theoretically many-body equilibrium magnetic phases and corresponding thermodynamic characteristics of ultracold three-component fermionic mixtures in optical lattices described by the SU(3)-symmetric single-band Hubbard model. Our…

量子气体 · 物理学 2015-09-02 Andrii Sotnikov

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

强关联电子 · 物理学 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

We study two exactly solvable two-dimensional conformal models, the critical Ising model and the Sommerfield model, on the lattice. We show that finite-size effects are important and depend on the aspect ratio of the lattice. In particular,…

高能物理 - 格点 · 物理学 2014-10-07 Oscar Akerlund , Philippe de Forcrand

We explore the behavior of periodic arrays of magnetic nanowires by micromagnetic simulations using the Nmag modeling package. A large number of modeling studies on such arrays of nanowires have been performed using finite size models. We…

材料科学 · 物理学 2013-12-03 Fatih Zighem , Thomas Maurer , Frédéric Ott , Grégory Chaboussant

We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is apparently reached approximately 1/4 of the time, while the…

统计力学 · 物理学 2009-10-31 V. Spirin , P. L. Krapivsky , S. Redner