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Using Monte Carlo simulations we study the Ising model with spin S=1/2 and 1 on {\it directed} and {\it undirected} Erd\"os-R\'enyi (ER) random graphs, with $z$ neighbors for each spin. In the case with spin S=1/2, the {\it undirected} and…

无序系统与神经网络 · 物理学 2015-05-30 F. W. S. Lima , M. A. Sumour

We prove an infrared bound for the transverse field Ising model. This bound is stronger than the previously known infrared bound for the model, and allows us to investigate mean-field behaviour. As an application we show that the critical…

概率论 · 数学 2015-06-05 Jakob E. Björnberg

We propose a first-principles formulism for system with spin fluctuations and apply it to the ordered Fe3Pt to uncover the Invar anomalies, including negative thermal expansion and spontaneous magnetization. The theory has coherently…

材料科学 · 物理学 2014-02-25 Y. Wang , S. L. Shang , H. Zhang , L. -Q. Chen , Z. -K. Liu

We conjecture an approximate expression for the free energy in the thermodynamic limit of the classical square lattice Ising model in a uniform (real) magnetic field. The zero-field result is well known due to Onsager for more than eighty…

高能物理 - 格点 · 物理学 2025-04-29 Raghav G. Jha

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact…

统计力学 · 物理学 2012-12-27 J. Strecka , C. Ekiz

We consider large spin systems with short-range ferromagnetic interactions and long-range antiferromagnetic interactions subjected to periodic boundary conditions which have been proved by Giuliani, Lebowitz and Lieb to have minimizers that…

偏微分方程分析 · 数学 2025-03-21 Andrea Braides , Fabrizio Caragiulo

We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect.…

强关联电子 · 物理学 2009-03-12 Ming-Che Chang , Min-Fong Yang

The mean-field and effective-field approximations are applied in the study of 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…

统计力学 · 物理学 2017-11-02 I J L Diaz , N S Branco

We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting findings is that a thermodynamic spin glass phase is present in…

无序系统与神经网络 · 物理学 2011-04-14 Yoshiki Matsuda , Hidetoshi Nishimori , Lenka Zdeborová , Florent Krzakala

We study the nearest-neighbor spin-ice model subjected to a magnetic field applied along the global [111] and [110] directions, focusing on the role of sample geometry in stabilizing topological phase transitions. While no Kasteleyn…

统计力学 · 物理学 2026-04-30 R. A. Borzi , E. S. Loscar , S. A. Grigera

We formulate the ferromagnetic Ising model on a two-dimensional sphere using the Delaunay triangulation of the Fibonacci covering. The Fibonacci approach generates a uniform isotropic covering of the sphere with approximately equal-area…

统计力学 · 物理学 2023-01-18 A. S. Pochinok , A. V. Molochkov , M. N. Chernodub

A paramagnetic-ferromagnetic quantum phase transition is known to occur at zero temperature in a two-dimensional coherently-coupled Bose mixture of dilute ultracold atomic gases provided the interspecies interaction strength is large…

量子气体 · 物理学 2023-04-05 Arko Roy , Miki Ota , Franco Dalfovo , Alessio Recati

We provide a simple characterization of the critical temperature for the Ising model on an arbitrary planar doubly periodic weighted graph. More precisely, the critical inverse temperature \beta for a graph G with coupling constants…

数学物理 · 物理学 2014-12-18 David Cimasoni , Hugo Duminil-Copin

We derive the high-temperature expansion of the Helmholtz free energy up to the order \beta^{17} of the one-dimensional spin-S Ising model, with single-ion anisotropy term, in the presence of a longitudinal magnetic field. We show that the…

统计力学 · 物理学 2012-04-27 M. T. Thomaz , O. Rojas

Magnetic phenomena of the superantiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields are studied by employing a mean-field variational approach based on Peierls-Bogoliubov inequality for…

We develop a theory of the critical point of the ferromagnetic Ising model, whose basic objects are the ergodic (pure) states of the infinite system. It proves the existence of anomalous critical fluctuations, for dimension $\nu=2$ and,…

数学物理 · 物理学 2024-05-10 Domingos H. U. Marchetti , Manfred Requardt , Walter F. Wreszinski

The influence of random interlayer exchange on the phase states of the simplest magnetic heterostructure consisting of two ferromagnetic Ising layers with large interaction radius is studied. It is shown that such system can exist in three…

材料科学 · 物理学 2013-05-29 P. N. Timonin , V. B. Shirokov

We present a theoretical study aimed to elucidate the origin of the inverse symmetry breaking transition observed in ultrathin magnetic films with perpendicular anisotropy. We study the behavior of the dipolar frustrated Ising model in a…

统计力学 · 物理学 2015-03-20 Luciana Araújo Velasque , Daniel A. Stariolo , Orlando V. Billoni

We present an ab initio quantum theory of the finite temperature magnetism of iron and nickel. A recently developed technique which combines dynamical mean-field theory with realistic electronic structure methods, successfully describes the…

强关联电子 · 物理学 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

We study the dynamics and thermodynamics of one-dimensional spin-orbital models relevant for transition metal oxides. We show that collective spin, orbital, and combined spin-orbital excitations with infinite lifetime can exist, if the…

强关联电子 · 物理学 2015-03-18 A. Herzog , A. M. Oles , P. Horsch , J. Sirker