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WEBThe interaction between the topological charges depends in all cases logarithmically on the spatial separation and this leads to some very general collective behaviour, most …
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Critical analysis of two-dimensional classical XY model
WEBAug 6, 2020 · The XY model, also known as planar rotor model is one of the most widely studied and the simplest two-dimensional spin model 1 with continuous symmetry …
WEB2 XY model In the classical xy-model, the variables are two-dimensional unit vectors ~s i on each lattice site, equivalent to an angle θ. This model is a limiting case of the …
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Realizing the classical XY Hamiltonian in polariton …
WEBSep 25, 2017 · Nature Materials - Lattices of exciton-polariton condensates provide the base for a simulator that can be used to find the global …
- Author: Natalia G. Berloff, Matteo Silva, Kirill Kalinin, Alexis Askitopoulos, Julian D. Töpfer, Pasquale Ci...
- Publish Year: 2017
WEB1.1 The XY-Model The Classical XY-Model is a statistical mechanical model of spin interactions which may be used to predict magnetic behaviour. For a two dimensional …
WEBWe consider the two-dimensional classical XY model on a square lattice in the thermody-namic limit using tensor renormalization group and precisely determine the critical tem …
Critical analysis of two-dimensional classical XY model
WEBApr 14, 2020 · High Energy Physics - Lattice. We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization …
WEBThe XY-model has true dynamics which can be determined by integrating the equations of motion for each spin; its critical dynamics has been studied theoretically [7, 8, 9, 10] with …
Critical dynamics in the two-dimensional classical XY model: A …
WEBNov 1, 1996 · Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY model (i.e., …
WEBSpin systems are useful in statistical mechanics for studying emergent behavior of systems composed of a large number of particles. Each such model consists of either classical …
WEBIn this paper, I explicitly demonstrated the mapping between 0d quantum and 1d classical Ising, 1d quantum and 2d classical XY, and 2d quantum and 3d classical Ising models. …
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
Critical properties of the classical XY and classical Heisenberg …
WEBMar 1, 1997 · Critical properties of the classical XY and classical Heisenberg models: A renormalization group study - ScienceDirect. Physica A: Statistical Mechanics and its …
WEBAbstract. Earlier Monte-Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. We study the phase diagram and the correlation …
Approaching the Kosterlitz-Thouless transition for the classical …
WEBDec 26, 2019 · Abstract. We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In …
WEBMichael Pretko. 5/16/2014. Abstract. We here demonstrate a useful duality between the compact (i:e: supporting vortices) XY model and the non-compact XY model with a …
Critical Behavior of Mean-Field XY and Related Models
WEBSep 27, 2017 · The mean-field Ising model, or Curie-Weiss model, describes the Ising model well for higher dimensions, and the magnetization (average spin) in this model …
Phase diagram of a square lattice model of XY spins with …
WEB2 days ago · We study a generalization of the well-known classical two-dimensional square lattice compass model of XY spins (sometimes referred to as the 90 ∘ compass model), …
Large-scale Monte Carlo simulation of two-dimensional classical …
WEBAug 27, 2012 · classical XY model, Kosterlitz-Thouless transition, Monte Carlo simulation, cluster algorithm, finite-size scaling, parallel computing, multiple GPU calculation. The …
WEBHistorically, one of the crucial results in estab- lishing this viewpoint was the phase transition in the two-dimensional classical XY model. This model is in- troduced by …
classical XY model - YouTube
WEBOct 10, 2016 · Monte-carlo simulation (Glauber dynamics) of a two dimensional XY model. Vortices are marked in blue and green. The heatmap indicates how much energy …
Scalar susceptibility of a diluted classical XY model
WEBWe analyze the amplitude fluctuations in a diluted 3D classical XY model near the magnetic phase transition, motivated by the unusual localization properties of the …
[2207.13748] The Kosterlitz-Thouless phase transition: an …
WEBJul 27, 2022 · Abstract: This is a set of notes recalling some of the most important results on the XY model from the ground up. They are meant for a junior researcher wanting to get …
Large-scale Monte Carlo simulation of two-dimensional classical …
WEBOct 23, 2012 · We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on …
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