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Related papers: Duality in Long-Range Ising Ferromagnets

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We study a fermionic infinited-ranged Ising spin glass with a real space BCS interaction in the presence of an applied transverse field. The problem is formulated in the integral functional formalism where the SU(2) spins are given in terms…

Superconductivity · Physics 2009-11-10 S. G Magalhães , F. M. Zimmer

We consider anisotropic long-range interacting spin systems in $d$ dimensions. The interaction between the spins decays with the distance as a power law with different exponents in different directions: we consider an exponent…

Statistical Mechanics · Physics 2016-12-14 Nicolò Defenu , Andrea Trombettoni , Stefano Ruffo

The Ising model, in presence of an external magnetic field, is isomorphic to a model of localized interacting particles satisfying the Fermi statistics. By using this isomorphism, we construct a general solution of the Ising model which…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdinando Mancini

We solve the double exchange model in the presence of arbitrary substitutional disorder by using a self consistently generated effective Hamiltonian for the spin degrees of freedom. The magnetic properties are studied through classical…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

Aging in a two-dimensional Ising spin model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. The behaviour of the autocorrelation function $C(t,t_w)$ is…

Statistical Mechanics · Physics 2009-10-31 Julio H. Toloza , Francisco A. Tamarit , Sergio A. Cannas

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 consider Ising systems where all the many-spin couplings $J_A$ are positive. We show that the absolute value of all the many-spin correlations does not increase when the value of any of the couplings is reduced, taking any value in the…

Statistical Mechanics · Physics 2009-11-07 Moshe Schwartz , Avishay Efrat , James L. Monroe

We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long range, power law decaying, antiferromagnetic interactions. If the strength of the ferromagnetic coupling J is larger than a…

Statistical Mechanics · Physics 2014-02-21 Alessandro Giuliani , Elliott H. Lieb , Robert Seiringer

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different behaviour caused by the way of updating is studied in detail for the…

Disordered Systems and Neural Networks · Physics 2016-08-16 D. Bollé , J. Busquets Blanco

We study ferromagnetic transition in three-dimensional double-exchange model. The influence of strong spin fluctuations on conduction electrons is described in coherent potential approximation. In the framework of thermodynamic approach we…

Statistical Mechanics · Physics 2013-05-29 Mark Auslender , Eugene Kogan

We give a precise numerical solution for decorated Ising models on the simple cubic lattice which show ferromagnetism, compensation points, and reentrant behaviour. The models, consisting of $S={1\over 2}$ spins on a simple cubic lattice,…

Condensed Matter · Physics 2009-11-10 J. Oitmaa , W. Zheng

The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin systems, is derived by equivalence between the ferromagnetic…

Statistical Mechanics · Physics 2025-01-07 Zhidong Zhang

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent…

Probability · Mathematics 2009-11-13 Marzio Cassandro , Enza Orlandi , Pierre Picco

In this work, we prove the equivalence between the pair correlation functions of primes, and of spins in a two-dimensional (2D) Ising model with a mixture of ferromagnetic and randomly distributed competing interactions. At first, we prove…

General Physics · Physics 2025-11-04 Zhidong Zhang

We implement the rotationally-invariant formulation of the two-dimensional Hubbard model, with nearest-neighbors hopping $t$, which allows for the analytical study of the system in the low-energy limit. Both U(1) and SU(2) gauge…

Strongly Correlated Electrons · Physics 2008-12-09 V. A. Apinyan , T. K. Kopec

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

Condensed Matter · Physics 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

We extend a recent argument by Ding and Zhuang from nearest-neighbor to long-range interactions and prove the phase transition in a class of ferromagnetic random field Ising models. Our proof combines a generalization of Fr\"ohlich-Spencer…

Mathematical Physics · Physics 2025-08-22 Lucas Affonso , Rodrigo Bissacot , João Maia

The internal energies, including transverse and longitudinal parts, of quantum Heisenberg systems for arbitrary spin S are investigated by the double-time Green's function method. The expressions for ferromagnetic (FM) and antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-10-23 Huai-Yu Wang , Liang-Jun Zhai , Meichun Qian

Motivated by the recent inelastic neutron scattering (INS) measurements in the iron pnictides which show a strong anisotropy of spin excitations in directions perpendicular and parallel to the ordering wave-vector even above the magnetic…

Strongly Correlated Electrons · Physics 2015-10-19 Patricia Bilbao Ergueta , Andriy H. Nevidomskyy