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We present a dynamic Monte Carlo study of the Kosterlitz-Thouless phase transition for the spin-1/2 quantum XY model in two dimensions. The short-time dynamic scaling behaviour is found and the dynamical exponent $\theta$, $z$ and the…

Soft Condensed Matter · Physics 2015-06-25 H. P. Ying , H. J. Luo , L. Schuelke , B. Zheng

Out-of-equilibrium behavior is explored in the one-dimensional anisotropic $XY$ model. Initially preparing the system in the isotropic $XX$ model with a linearly varying magnetic field to create a domain-wall magnetization profile, dynamics…

Quantum Gases · Physics 2016-05-20 Jarrett L. Lancaster

Using Monte Carlo and spin-dynamics methods, we have investigated the dynamic behavior of the classical, antiferromagnetic XY model on a triangular lattice with linear sizes $L \leq 300$. The temporal evolutions of spin configurations were…

Statistical Mechanics · Physics 2009-11-07 Kwangsik Nho , D. P. Landau

We study the dynamics of a spin-1/2 XXZ chain which is initially prepared in a domain-wall state. We compare the results of time-dependent Density Matrix Renormalization Group simulations with those of an effective description in terms of a…

Statistical Mechanics · Physics 2019-08-30 Grégoire Misguich , Nicolas Pavloff , Vincent Pasquier

We present extensive Monte-Carlo spin dynamics simulations of the classical XY model in three dimensions on a simple cubic lattice with periodic boundary conditions. A recently developed efficient integration algorithm for the equations of…

Statistical Mechanics · Physics 2009-10-31 M. Krech , D. P. Landau

With Monte Carlo methods, we simulate the critical domain-wall dynamics of model B, taking the two-dimensional Ising model as an example. In the macroscopic short-time regime, a dynamic scaling form is revealed. Due to the existence of the…

Statistical Mechanics · Physics 2015-03-13 R. H. Dong , B. Zheng , N. J. Zhou

We study the dynamics of an isotropic spin-1/2 Heisenberg chain starting in a domain-wall initial condition, where the spins are initially up on the left half-line and down on the right half-line. We focus on the long-time behavior of the…

Strongly Correlated Electrons · Physics 2018-01-31 Grégoire Misguich , Kirone Mallick , P. L. Krapivsky

We study and compare the critical properties of the two-dimensional (2D) XY model in a transverse magnetic field with magnetic filling factors f=1/3 and f=2/5. In addition to the spin waves, the low energy excitations of the system consist…

Statistical Mechanics · Physics 2009-10-28 Colin Denniston , Chao Tang

The critical behavior in the short-time dynamics for the random-bond Potts ferromagnet in two-dimensions is investigated by short-time dynamic Monte Carlo simulations. The numerical calculations show that this dynamic approach can be…

Soft Condensed Matter · Physics 2009-10-31 He-Ping Ying , Kenji Harada

We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of…

Statistical Mechanics · Physics 2015-05-28 Lea F. Santos , Aditi Mitra

Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

Condensed Matter · Physics 2007-05-23 H. G. Evertz , D. P. Landau

The spin-1/2 quantum anisotropic XY spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Juozapavicius , L. Urba , S. Caprara , A. Rosengren

The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^{2}$. To obtain the minimum energy state we annealed the system using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2017-05-29 Preeti Bhandari , Vikas Malik , Syed Rashid Ahmad

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

Statistical Mechanics · Physics 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

In this letter we study the non-equilibrium spin dynamics in the non-integrable spin-1 XXZ chain, emerging after joining two macroscopic pure states with different magnetizations. Employing the so-called time-dependent variational principle…

Statistical Mechanics · Physics 2020-02-26 Marko Medenjak , Jacopo De Nardis

We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetisations. We study the stationary state which emerges by the unitary evolution via the spin $1/2$ XXZ Hamiltonian, in the gapless…

Statistical Mechanics · Physics 2018-03-07 Mario Collura , Andrea De Luca , Jacopo Viti

A driven Monte Carlo dynamics is introduced to study resistivity scaling in XY-type models in the phase representation. The method is used to study the phase transition of the three-dimensional XY spin glass with a Gaussian coupling…

Disordered Systems and Neural Networks · Physics 2009-11-10 Enzo Granato

We address the geometrical critical behavior of the two-dimensional Q-state Potts model in terms of the spin clusters (i.e., connected domains where the spin takes a constant value). These clusters are different from the usual…

Statistical Mechanics · Physics 2017-12-22 Jérôme Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the…

Superconductivity · Physics 2013-05-29 Vadim Oganesyan , David A. Huse , S. L. Sondhi

The dynamic susceptibility $\chi_{Q}^{zz}(\omega)$ of the isotropic XY-model (s=1/2) on the alternating superlattice (closed chain) in a transverse field $h$ is obtained exactly at arbitrary temperatures. It is determined from the results…

Statistical Mechanics · Physics 2007-05-23 J. P. de Lima , L. L. Goncalves
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