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Universality classes of non-unitary critical theories in two-dimensions are characterized by a dimensional number, termed central charge or conformal anomaly. Conformal invariance predicts that the leading finite-size correction to the free…

Statistical Mechanics · Physics 2018-02-27 Bo-Bo Wei

The dynamics of the phase transition of the continuum $\Phi ^{4}_{1+1}$-theory in Light Cone Quantization is reexamined taking into account fluctuations of the order parameter $< \Phi >$ in the form of dynamical zero mode operators (DZMO)…

High Energy Physics - Theory · Physics 2009-11-07 Stéphane Salmons , Pierre GrangÉ , Ernst Werner

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

We study the scalar one-component two-dimensional (2D) $\phi^4$ model by computer simulations, with local Metropolis moves. The equilibrium exponents of this model are well-established, e.g. for the 2D $\phi^4$ model $\gamma= 1.75$ and…

Statistical Mechanics · Physics 2018-12-20 Wei Zhong , Gerard T. Barkema , Debabrata Panja , Robin C. Ball

A variational approach based on the multi-coherent-state ansatz with asymmetric parameters is employed to study the ground state of the spin-boson model. Without any artificial approximations except for the finite number of the coherent…

Quantum Gases · Physics 2014-12-22 Liwei Duan , Shu He , Qing-Hu Chen

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution. In this work we show that DQPTs in random Ising chains exhibit critical behavior with…

Statistical Mechanics · Physics 2021-10-04 Daniele Trapin , Jad C. Halimeh , Markus Heyl

By means of nuclear spin-lattice relaxation rate 1/T1, we follow the spin dynamics as a function of the applied magnetic field in two gapped one-dimensional quantum antiferromagnets: the anisotropic spin-chain system NiCl2-4SC(NH2)2 and the…

We study the behavior of the bulk viscosity $\zeta$ in QCD near a possible critical endpoint in the phase diagram. We verify the expectation that $(\zeta/s)\sim a(\xi/\xi_0)^{x_\zeta}$, where $s$ is the entropy density, $\xi$ is the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Mauricio Martinez , Thomas Schaefer , Vladimir Skokov

By Monte Carlo simulation we study the critical exponents governing the transition of the three-dimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finite-temperature QCD with…

High Energy Physics - Lattice · Physics 2009-10-22 K. Kanaya , S. Kaya

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the…

Statistical Mechanics · Physics 2009-10-28 F. C. Alcaraz , A. L. Malvezzi

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art…

Strongly Correlated Electrons · Physics 2019-08-13 Zi Hong Liu , Gaopei Pan , Xiao Yan Xu , Kai Sun , Zi Yang Meng

The existence or absence of non-analytic cusps in the Loschmidt-echo return rate is traditionally employed to distinguish between a regular dynamical phase (regular cusps) and a trivial phase (no cusps) in quantum spin chains after a global…

Statistical Mechanics · Physics 2018-07-23 Ingo Homrighausen , Nils O. Abeling , Valentin Zauner-Stauber , Jad C. Halimeh

Dangling edge spins of dimerized two-dimensional spin-1 Heisenberg antiferromagnets are shown to exhibit nonordinary quantum critical correlations, akin to the scaling behavior observed in recently explored spin-1/2 systems. Based on…

Strongly Correlated Electrons · Physics 2019-09-05 Lukas Weber , Stefan Wessel

We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi…

Disordered Systems and Neural Networks · Physics 2014-12-17 Saroj Kumar Nandi , Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

Disordered Systems and Neural Networks · Physics 2016-08-31 C. Pich , A. P. Young

Exact ground states of two-dimensional Ising spin glasses with Gaussian and bimodal (+- J) distributions of the disorder are calculated using a ``matching'' algorithm, which allows large system sizes of up to N=480^2 spins to be…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. K. Hartmann , A. P. Young

We report a neutron spin-echo study of the critical dynamics in the $S=5/2$ antiferromagnets MnF$_2$ and Rb$_2$MnF$_4$ with three-dimensional (3D) and two-dimensional (2D) spin systems, respectively, in zero external field. Both compounds…

Strongly Correlated Electrons · Physics 2016-08-24 K. F. Tseng , T. Keller , A. C. Walters , R. J. Birgeneau , B. Keimer

We explore critical properties of two-dimensional lattices of spins interacting via an anisotropic Heisenberg Hamiltonian and subject to incoherent spin flips. We determine the steady-state solution of the master equation for the density…

Quantum Physics · Physics 2017-04-26 R. Rota , F. Storme , N. Bartolo , R. Fazio , C. Ciuti