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We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

Statistical Mechanics · Physics 2017-06-13 Keith R. Fratus , Mark Srednicki

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We show that these systems are aging in the long-time regime, i.e., their two-time autocorrelation and response functions and…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

Disordered Systems and Neural Networks · Physics 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

The Ising antiferromagnet on a face-centered cubic (fcc) lattice with nearest-neighbor interaction only is well known to exhibit a macroscopic (exponential in the system size $L$) ground-state degeneracy. With increasing temperature, this…

Statistical Mechanics · Physics 2018-12-05 Ronja Stübel , Wolfhard Janke

This paper demonstrates that the results of a Monte Carlo simulation of a diluted 2D Ising antiferromagnetic system corresponds with the phase diagram for non conventional superconductors. An energy gap of this system is defined. We also…

General Physics · Physics 2016-04-25 Xuan Zhong Ni

We consider the Ising model at its critical temperature with external magnetic field $ha^{15/8}$ on the square lattice with lattice spacing $a$. We show that the truncated two-point function in this model decays exponentially with a rate…

Probability · Mathematics 2019-09-09 Federico Camia , Jianping Jiang , Charles M. Newman

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

Statistical Mechanics · Physics 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

Based on the results published recently [SciPost Phys. 7, 026 (2019)], the influence of surfaces and boundary fields are calculated for the ferromagnetic anisotropic square lattice Ising model on finite lattices as well as in the…

Statistical Mechanics · Physics 2020-03-04 Hendrik Hobrecht , Alfred Hucht

We study magnetic geometries with Lifshitz and/or hyperscaling violation exponents (both with a hard wall cutoff in the IR and a smooth black brane horizon) which have a complex scalar field which couples to the magnetic field. The complex…

High Energy Physics - Theory · Physics 2013-08-28 Ning Bao , Sarah Harrison

We investigate defects in the two-dimensional transverse-field Ising ferromagnet on periodic $L\times L$ lattices after quantum annealing from high to vanishing field. With exact numerical solutions for $L \le 6$, we observe the expected…

Quantum Physics · Physics 2025-07-15 Phillip Weinberg , Na Xu , Anders W. Sandvik

Experimental advances in condensed matter physics and material science have enabled ready access to atomic-resolution images, with resolution of modern tools often sufficient to extract minute details of symmetry-breaking distortions such…

Statistical Mechanics · Physics 2019-09-23 Sai Mani Prudhvi Valleti , Lukas Vlcek , Rama K. Vasudevan , Sergei V. Kalinin

Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor…

Statistical Mechanics · Physics 2011-10-03 S. L. A. de Queiroz

The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin model on $\mathbb Z^d$ in $d=3$…

Mathematical Physics · Physics 2017-09-20 Michael Aizenman , Hugo Duminil-Copin , Vladas Sidoravicius

We compute the spin structure factor of XXZ spin chains in the Heisenberg and gapped (Ising) regimes in the high-temperature limit for nonzero magnetization, within the framework of generalized hydrodynamics including diffusive corrections.…

Statistical Mechanics · Physics 2019-08-21 Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We consider the Kawasaki dynamics at inverse temperature $\beta$ for the Ising lattice gas on a two-dimensional square of length $2L+1$ with periodic boundary conditions. We assume that initially the particles form a square of length $n$,…

Probability · Mathematics 2015-09-10 B. Gois , C. Landim

We have studied the equilibrium and nonequilibrium behaviours of the Ising ferromagnetic thick cubic shell by Monte Carlo simulation. Our goal is to find the dependence of the responses on the thickness of the shell. In the equilibrium…

Statistical Mechanics · Physics 2025-12-04 Ishita Tikader , Muktish Acharyya

We progress finite-size scaling in systems with free boundary conditions above their upper critical dimension, where in the thermodynamic limit critical scaling is described by mean-field theory. Recent works show that the correlation…

Statistical Mechanics · Physics 2024-04-02 Yu. Honchar , B. Berche , Yu. Holovatch , R. Kenna

The self-energy encodes the fundamental lifetime of quasiparticle excitations. In one dimension, it is known to display anomalous behavior at zero temperature for interacting fermions, reflecting the breakdown of Fermi-liquid theory. Here…

Strongly Correlated Electrons · Physics 2025-09-26 Catalin Pascu Moca , Balázs Dóra

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

Statistical Mechanics · Physics 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia
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