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- Studies of Classical XY model
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See all on WikipediaThe classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. In general, the XY model can be seen as a specialization of Stanley's n-vector model for n = 2. See more
Given a D-dimensional lattice Λ, per each lattice site j ∈ Λ there is a two-dimensional, unit-length vector sj = (cos θj, sin θj)
The spin configuration, s = (sj)j ∈ Λ is an assignment of the … See more• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality.
• Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that … See moreWikipedia text under CC-BY-SA license 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 …
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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 …
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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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.
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 …
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 …
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., …
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 …
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. …
WEBBerezinskii-Kosterlitz-Thouless transition of the classical XY model is reinvestigated, combining the tensor network renormalization (TNR) and the level spectroscopy method …
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 …
WEBIn this chapter we discuss a class of classical two dimensional statistical models, known as the uniformly frustrated XY model, which serves as a model for describing behavior in a …
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 …
Tensor renormalization group study of classical $XY$ model on …
WEBJan 22, 2014 · Tensor renormalization group study of classical XY model on the square lattice. J. F. Yu, Z. Y. Xie, Y. Meurice, Yuzhi Liu, A. Denbleyker, Haiyuan Zou, M. P. Qin, …
Spin waves I - Book chapter - IOPscience
WEBChapter information. Abstract. In this chapter, the spin-wave formalism is presented for the ferromagnet and the antiferromagnet. The XY model is studied using a self-consistent …
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 …
Large-scale Monte Carlo simulation of two-dimensional classical …
WEBOct 23, 2012 · Abstract: We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using …
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 …
[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 …
[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 …
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