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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

We study the random field $p$-spin model with Ising spins on a fully connected graph using the theory of large deviations in this paper. This is a good model to study the effect of quenched random field on systems which have a sharp first…

统计力学 · 物理学 2015-10-28 Sumedha , Sushant K. Singh

We prove ferromagnetic ordering of energy levels for XXX Heisenberg chains of any spin and XXZ spin chains with all spins equal to 1/2. Ferromagnetic ordering means that the minimum energies in the invariant subspaces of fixed total spin…

数学物理 · 物理学 2007-05-23 Bruno Nachtergaele , Shannon Starr

We consider continuous-spin models on the $d$-dimensional hypercubic lattice with the spins $\sigma_x$ \emph{a priori} uniformly distributed over the unit sphere in $\R^n$ (with $n\ge2$) and the interaction energy having two parts: a…

数学物理 · 物理学 2012-04-03 Marek Biskup , Nicholas Crawford

The random-magnetic-field classical Heisenberg model is solved in spatial dimensions d>=2 using the recently developed Fourier-Legendre renormalization-group theory for $4\pi$ steradians continuously orientable spins, with…

无序系统与神经网络 · 物理学 2025-02-18 Alpar Türkoğlu , A. Nihat Berker

We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a $1/r^2$ long range perturbation of the usual Kac model. We apply a coarse graining procedure, widely used for higher-dimensional finite…

数学物理 · 物理学 2015-05-19 Marzio Cassandro , Immacolata Merola , Maria Eulalia Vares

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

强关联电子 · 物理学 2010-08-24 Max A. Metlitski , Subir Sachdev

We establish long-range order for discrete nearest-neighbor spin systems on $\mathbb{Z}^d$ satisfying a certain symmetry assumption, when the dimension $d$ is higher than an explicitly described threshold. The results characterize all…

数学物理 · 物理学 2026-04-24 Ron Peled , Yinon Spinka

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

统计力学 · 物理学 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

A tight binding model is introduced to describe the strong interaction limit of excitonic ordering. At stoichiometry, the model reduces in the strong coupling limit to a pseudo-spin model with approximate U(4) symmetry. Excitonic order…

强关联电子 · 物理学 2009-10-31 Leon Balents

The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \delta(h_{i}-h_{0}) + q \delta…

统计力学 · 物理学 2013-04-26 I. A. Hadjiagapiou

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

统计力学 · 物理学 2009-11-13 N. Crokidakis , F. D. Nobre

We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with random bonds and/or heterogeneous degree distributions. To do…

无序系统与神经网络 · 物理学 2009-11-11 J. P. L. Hatchett , I. Pérez Castillo , A. C. C. Coolen , N. S. Skantzos

We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-$T_\textrm{c}$ compounds with immobile dopants. Starting from a…

无序系统与神经网络 · 物理学 2009-11-07 Frank Krüger , Stefan Scheidl

We derive the low-temperature properties of spin-S quantum Heisenberg magnets from the Gibbs free energy G(M) for fixed order parameter M. Assuming that the low-lying elementary excitations of the system are renormalized spin waves, we show…

强关联电子 · 物理学 2009-11-07 Marcus Kollar , Ivan Spremo , Peter Kopietz

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. After introducing a general formalism for describing such systems, we consider here the mean-field…

统计力学 · 物理学 2009-10-31 J. Hausmann , P. Rujan

Field theoretic models possessing a global internal fermionic shift symmetry are considered. When such a symmetry is realized locally, spin 3/2 fields appear naturally as gauge fields. Implementation of the gauging procedure requires not…

高能物理 - 理论 · 物理学 2009-11-10 S. T. Love

We propose a mechanism to describe how a physical quantity, which initially can take continuous values, is restricted within some discrete values after a measurement. As an example of the present theory, in which interplay between coherence…

量子物理 · 物理学 2007-05-23 Masato Morifuji

A system exhibiting multiple simultaneously broken symmetries offers the opportunity to influence physical phenomena such as tunneling currents by means of external control parameters. Time-reversal symmetry and inversion symmetry are both…

强关联电子 · 物理学 2007-05-23 J. Linder , M. S. Gronsleth , A. Sudbo

Here we present a new perspective to the breakdown of ferromagnetic order in two-dimensional spin-lattice models employing the rotation of the underlying lattice. Using an Ising spin system on a square lattice as a prototype, we demonstrate…

统计力学 · 物理学 2021-08-17 Claudio J DaSilva , L. S. Ferreira , A. A. Caparica