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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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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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- Studies of 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 …
WEBINTRODUCTION. Spin systems are useful in statistical mechanics for studying emergent behavior of systems composed of a large number of particles. Each such model …
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 …
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 …
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 …
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 …
WEBNov 1, 1996 · Abstract. Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY …
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 minimum of the classical XY Hamiltonian.
Neural network architectures based on the classical XY model
WEBNov 30, 2021 · Abstract. Classical XY model is a lattice model of statistical mechanics notable for its universality in the rich hierarchy of the optical, laser, and condensed …
Critical properties of the classical XY and classical Heisenberg …
WEBMar 1, 1997 · By using two approaches of renormalization group (RG), mean field RG (MFRG) and effective field RG (EFRG), we study the critical properties of the simple …
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
Critical behavior of the double layer classical XY-model
WEBAug 1, 1980 · The partition function of a double layer classical nearest neighbor XY-model is expressed in terms of three coupled Coulomb gases. Renormalization-group …
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 …
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 …
Phase transition in the two-dimensional classical XY model
WEBDec 9, 1996 · For the two-dimensional classical XY model we present extensive high-temperature-phase bulk data extracted based on a novel finite size scaling (FSS) Monte …
WEBBerezinskii-Kosterlitz-Thouless transition of the classical XY model is reinvestigated, combining the tensor network renormalization (TNR) and the level spectroscopy method …
WEBVortex-Magnetic Field Duality in the Classical XY Model. Michael Pretko 5/16/2014. Abstract We here demonstrate a useful duality between the compact (i:e: supporting …
Scalar susceptibility of a diluted classical XY model
WEB4 days ago · We analyze the amplitude fluctuations in a diluted 3D classical XY model near the magnetic phase transition, motivated by the unusual localization properties of the …
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 …
[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 …
[cond-mat/0502556] The two dimensional XY model at the …
WEBFeb 23, 2005 · We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square …
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