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We study the thermodynamic and magnetic properties of an Ising bilayer ferrimagnet. The system is composed of two interacting non-equivalent planes in which the intralayer couplings are ferromagnetic while the interlayer interactions are…

Statistical Mechanics · Physics 2017-09-11 Ian Jordy Lopez Diaz , Nilton da Silva Branco

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

We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important…

Disordered Systems and Neural Networks · Physics 2014-07-02 Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi

We explore short-distance static correlation functions in the infinite XXZ chain using previously derived formulae which represent the correlation functions in factorized form. We compute two-point functions ranging over 2, 3 and 4 lattice…

Strongly Correlated Electrons · Physics 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

In this paper, we study the effects of the interparticle interaction range on heat flow. We show that, by increasing the interaction range, we may amplify the thermal conductivity and even change the regime of heat transport. More…

Statistical Mechanics · Physics 2015-06-17 Emmanuel Pereira , Ricardo R. Ávila

The behavior of the compensation temperature of a mixed Ising ferrimagnetic system on a square lattice in which the two interpenetrating square sublattices have spins $\sigma$ ($\pm 1/2$) and spins $S$ ($\pm 1,0$) has been studied with…

Materials Science · Physics 2007-05-23 G. M. Buendia , E. Machado , M. A. Novotny

We consider a measure given as the continuum limit of a one-dimensional Ising model with long-range translationally invariant interactions. Mathematically, the measure can be described by a self-interacting Poisson driven jump process. We…

Mathematical Physics · Physics 2022-01-20 David Hasler , Benjamin Hinrichs , Oliver Siebert

We introduce a new coarse grain model capable of describing the phase behavior of two dimensional ferromagnetic systems with competing exchange and dipolar interactions, as well as an external magnetic field. An improved expression for the…

Statistical Mechanics · Physics 2016-10-20 Alejandro Mendoza-Coto , Orlando V. Billoni , Sergio A. Cannas , Daniel A. Stariolo

The universality class of the dynamic magnetisation-reversal transition, induced by a competing field pulse, in an Ising model on a square lattice, below its static ordering temperature, is studied here using Monte Carlo simulations. Fourth…

Statistical Mechanics · Physics 2009-11-07 Arnab Chatterjee , Bikas K. Chakrabarti

We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising model on $\mathbb{Z}^d$ with finite-range…

Probability · Mathematics 2023-12-21 Sébastien Ott , Yvan Velenik

We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

Statistical Mechanics · Physics 2024-12-11 István Csépányi , Márton Kormos

Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional…

Strongly Correlated Electrons · Physics 2019-04-04 S. N. Saadatmand , S. D. Bartlett , I. P. McCulloch

We present explicit expressions for the correlation functions of interacting fermions in one dimension which are valid for arbitrary system sizes and temperatures. The result applies to a number of very different strongly correlated…

Strongly Correlated Electrons · Physics 2009-10-30 Sebastian Eggert , Ann E. Mattsson , Jari M. Kinaret

We study the $S = 1$ triangular lattice Ising antiferromagnet by Monte Carlo simulations. Frustrations between a major antiferromagnetic third-neighbor interaction $J_3$ and a minor ferromagnetic nearest-neighbor interaction $J_1$ cause…

Statistical Mechanics · Physics 2014-07-31 Yusuke Tomita , Milan Žukovič

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

We consider the Ising model on a small-world network, where the long-range interaction strength $J_2$ is in general different from the local interaction strength $J_1$, and examine its relaxation behaviors as well as phase transitions. As…

Statistical Mechanics · Physics 2009-11-11 Daun Jeong , M. Y. Choi , Hyunggyu Park

The magnetocaloric effect in a two-dimensional Ising model is considered for different ratios between parameters of inter-site repulsion of nonmagnetic impurities and exchange coupling. Classical Monte Carlo simulations on a square lattice…

Computational Physics · Physics 2021-09-22 A. V. Shadrin , V. A. Ulitko , Yu. D. Panov

We report a combination of physical property and neutron scattering measurements for polycrystalline samples of the one-dimensional spin chain compound CoV2O6. Heat capacity measurements show that an effective S = 1/2 state is found at low…

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan
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