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Recent work has suggested the existence of glassy behavior in a ferromagnetic model with a four-spin interaction. Motivated by these findings, we have studied the dynamics of this model using Monte Carlo simulations with particular…

统计力学 · 物理学 2009-10-31 Michael R. Swift , Hemant Bokil , Rui D. M. Travasso , Alan J. Bray

We take a two-step theoretical approach to study magnetism of rare earth quasicrystals by considering Ising spins on quasiperiodic tilings, coupled via RKKY interactions. First, we compute RKKY interactions from a tight-binding Hamiltonian…

强关联电子 · 物理学 2016-01-07 Stefanie Thiem , J. T. Chalker

We analyze the Blume-Emery-Griffiths model with disordered magnetic interaction that displays the inverse freezing phenomenon. The behavior of this spin-1 model in crystal field is studied throughout the phase diagram and the transition and…

无序系统与神经网络 · 物理学 2007-05-23 Andrea Crisanti , Luca Leuzzi

We report some results on the quenched disordered Spherical multi-$p$-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the…

无序系统与神经网络 · 物理学 2013-03-19 Andrea Crisanti , Luca Leuzzi

We study numerically the ordering kinetics in a two-dimensional Ising model with random coupling where the fraction of antiferromagnetic links $a$ can be gradually tuned. We show that, upon increasing such fraction, the behavior changes in…

统计力学 · 物理学 2021-01-12 Manoj Kumar , Federico Corberi , Eugenio Lippiello , Sanjay Puri

The Sherrington-Kirkpatrick (SK) is a foundational model for understanding spin glass systems. It is based on the pairwise interaction between each two spins in a fully connected lattice with quenched disordered interactions. The nature of…

无序系统与神经网络 · 物理学 2025-06-30 Ali Talebi

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 introduce a formula for the disagreement function which is used to control a recently proposed dynamics of the Ising spin system. This leads to four different phases of the Ising spin chain in a zero temperature. One of these phases is…

统计力学 · 物理学 2009-11-07 Katarzyna Sznajd-Weron

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

统计力学 · 物理学 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The Pair Approximation method is applied to the antiferromagnetic Heisenberg-Ising spin-1/2 bilayer with a simple cubic crystalline structure. The method allows for self-consistent calculations of thermodynamic quantities, based on the…

材料科学 · 物理学 2013-12-03 T. Balcerzak , K. Szałowski

We simulate the dynamics of a disordered interacting spin chain subject to a quasi-periodic time-dependent drive, corresponding to a stroboscopic Fibonacci sequence of two distinct Hamiltonians. Exploiting the recursive drive structure, we…

无序系统与神经网络 · 物理学 2018-02-26 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

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…

超导电性 · 物理学 2009-11-10 S. G Magalhães , F. M. Zimmer

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

统计力学 · 物理学 2009-10-30 M. E. J. Newman , Cristopher Moore

We consider the superstable cycles of the Q-state Potts (QSP) and the three-site interaction antiferromagnetic Ising (TSAI) models on recursive lattices. The rational mappings describing the models' statistical properties are obtained via…

混沌动力学 · 物理学 2014-05-13 N. Ananikian , R. Artuso , L. Chakhmakhchyan

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

统计力学 · 物理学 2009-11-10 Palani Sundaramurthy , D. L. Stein

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

统计力学 · 物理学 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field…

无序系统与神经网络 · 物理学 2016-01-06 Corrado Rainone , Ulisse Ferrari , Matteo Paoluzzi , Luca Leuzzi

General dynamic properties like controllability and simulability of spin systems, fermionic and bosonic systems are investigated in terms of symmetry. Symmetries may be due to the interaction topology or due to the structure and…

量子物理 · 物理学 2011-11-28 Robert Zeier , T. Schulte-Herbrueggen

Proposed is a generalization of Jordan-Wigner transform that allows to exactly fermionize a large family of quantum spin Hamiltonians in dimensions higher than one. The key new steps are to enlarge the Hilbert space of the original model by…

强关联电子 · 物理学 2014-11-20 Victor Galitski

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

统计力学 · 物理学 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim