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Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

Statistical Mechanics · Physics 2013-01-31 Jana Cisarova , Jozef Strecka

We study phase domain coarsening in the long time limit after a quench of magnetic field in a quasi one-dimensional spin-1 antiferromagnetic condensate. We observe that the growth of correlation length obeys scaling laws predicted by the…

Quantum Gases · Physics 2021-05-20 Joanna Pietraszewicz , Aleksandra Seweryn , Emilia Witkowska

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform bond disorder is investigated by intensive Monte Carlo simulations. Simple ageing behaviour is observed in the single-time correlator and the two-time…

Disordered Systems and Neural Networks · Physics 2009-01-23 Malte Henkel , Michel Pleimling

We present a three-dimensional Ising model where lines of equal spins are frozen in such that they form an ordered framework structure. The frame spins impose an external field on the rest of the spins (active spins). We demonstrate that…

Materials Science · Physics 2017-09-15 Nicolas Höft , Jürgen Horbach , Victor Martin-Mayor , Beatriz Seoane

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

After a quench of transverse field, the asymptotic long-time state of Ising model displays a transition from a ferromagnetic phase to a paramagnetic phase as the post-quench field strength increases, which is revealed by the vanishing of…

Quantum Gases · Physics 2020-01-08 Bin Li , Chao Gao , Gao Xianlong , Pei Wang

The quantum critical behavior of disordered itinerant ferromagnets is determined exactly by solving a recently developed effective field theory. It is shown that there are logarithmic corrections to a previous calculation of the critical…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , Maria Teresa Mercaldo , Sharon L. Sessions

The ground state structure of the two-dimensional random field Ising magnet is studied using exact numerical calculations. First we show that the ferromagnetism, which exists for small system sizes, vanishes with a large excitation at a…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. T. Seppälä , M. J. Alava

In a ferromagnetic Ising system, domain pattern formation, i.e., phase-ordering, occurs after a sudden quench. We propose the method to simulate the pattern formation dynamics by an Ising machine. We demonstrate that the method reproduces…

Statistical Mechanics · Physics 2021-02-01 Kanon Mukai , Kazue Kudo

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

Statistical Mechanics · Physics 2011-07-21 Muktish Acharyya

We present a simple theory accounting for two central observations in a recent experiment on quantum coarsening and collective dynamics on a programmable quantum simulator [T. Manovitz et al., Nature \textbf{638}, 86 (2025)]: an apparent…

Statistical Mechanics · Physics 2026-03-02 Federico Balducci , Anushya Chandran , Roderich Moessner

The Coulomb phase, with its dipolar correlations and pinch-point-scattering patterns, is central to discussions of geometrically frustrated systems, from water ice to binary and mixed-valence alloys, as well as numerous examples of…

The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the…

Statistical Mechanics · Physics 2016-08-08 Ajay Halder , Muktish Acharyya

We study a two-dimensional kinetic Ising model with Swendsen-Wang dynamics, replacing the usual percolation on top of Ising clusters by explosive percolation. The model exhibits a reversible first-order phase transition with hysteresis.…

Statistical Mechanics · Physics 2012-07-02 Sebastian Angst , Silvio R. Dahmen , Haye Hinrichsen , Alfred Hucht , Martin P. Magiera

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to…

Statistical Mechanics · Physics 2007-05-23 L. Turban , D. Karevski , F. Igloi

Random fields disorder Ising ferromagnets by aligning single spins in the direction of the random field in three space dimensions, or by flipping large ferromagnetic domains at dimensions two and below. While the former requires random…

Disordered Systems and Neural Networks · Physics 2017-12-12 Juan Carlos Andresen , Helmut G. Katzgraber , Moshe Schechter

We analyze damage nucleation and localization in the random fuse model with strong disorder using numerical simulations. In the initial stages of the fracture process, damage evolves in an uncorrelated manner, resembling percolation.…

Statistical Mechanics · Physics 2009-11-10 Phani Kumar V. V. Nukala , Srdan Simunovic , Stefano Zapperi

In high-energy physics, confinement denotes the tendency of fundamental particles to remain bound together, preventing their observation as free, isolated entities. Interestingly, analogous confinement behavior emerges in certain condensed…

Statistical Mechanics · Physics 2026-02-20 Xuhao Jiang , Jad C. Halimeh , N. S. Srivatsa

The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alava , H. Rieger

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta
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