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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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- Studies of Classical XY model
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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WEBXY model. The second part of the paper is devoted to more advanced aspects of the XY model, such as the efiects of anisotropy and study of short, intermediate and long …
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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 …
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 …
WEBSep 25, 2017 · Nature Materials - Lattices of exciton-polariton condensates provide the base for a simulator that can be used to find the global minimum of the classical XY Hamiltonian.
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 …
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 …
WEBUsing 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 …
WEBclassical XY model are highlighted. Subsequently, the R-W rep. of the XY model is introduced and used to study the behaviour of correlations in an external mag. eld and to …
Numerical simulation of dynamics in the XY model
WEBAbstract. We study the dynamics of the classical two-dimensional XY model via numerical simulation using both microcanonical and Langevin equations of motion.
WEBINTRODUCTION. Spin systems are useful in statistical mechanics for studying emergent behavior of systems composed of a large number of particles. Each such model …
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. …
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 group …
Neural network architectures based on the classical XY model
WEBNov 30, 2021 · Classical XY model is a lattice model of statistical mechanics notable for its universality in the rich hierarchy of the optical, laser, and condensed matter systems. We …
WEBEver since the seminal papers by Berezinskii, Kosterlitz, and Thouless [2–4], the classical 2D XY model has been the reference model for the study of the BKT phase transition. …
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 …
WEBBerezinskii-Kosterlitz-Thouless transition of the classical XY model is reinvestigated, combining the tensor network renormalization (TNR) and the level spectroscopy method …
[2207.13748] The Kosterlitz-Thouless phase transition: an …
WEBJul 27, 2022 · Victor Drouin-Touchette. 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 …
Phase diagram of a square lattice model of XY spins with …
WEBAbstract. 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), …
WEBarXiv:1907.04576v1 [cond-mat.stat-mech] 10 Jul 2019. Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks. Laurens …
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 …
[cond-mat/0502556] The two dimensional XY model at the …
WEBFeb 23, 2005 · Abstract: We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on …
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