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See all on WikipediaClassical XY model - Wikipedia
The 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) See more
• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the See more
• H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, (Oxford University Press, Oxford and New York 1971); See more
As mentioned above in one dimension the XY model does not have a phase transition, while in two dimensions it has the See more
Wikipedia text under CC-BY-SA license 2D XY model - The Public's Library and Digital Archive
WEBOct 11, 2015 · In 2D XY model there are excitations with nontrivial topology - vortices and anti-vortices (marked by red and green squares). Under path-tracing around a vortex or …
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
WEBMay 21, 2021 · The XY model describes two-component spins ~s on a two dimensional square lattice of size L and spacing a. The model is characterized by the nearest …
Interplay of spin waves and vortices in the two-dimensional XY …
WEBSep 9, 2020 · We find that the two-step approach can accurately reproduce the results of Monte Carlo simulations of the traditional XY model. To systematically study the …
- Author: Ilaria Maccari, Nicolò Defenu, Nicolò Defenu, Lara Benfatto, Claudio Castellani, Tilman Enss
- Publish Year: 2020
WEBThe XY model, which can be obtained from the Heisenberg Hamiltonian by turning o® the coupling between z spin components, reduces to. a free theory of spinless fermions …
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Realizing the classical XY Hamiltonian in polariton …
WEBSep 25, 2017 · Recently, it was shown that a large variety of such computationally intractable systems can be mapped into certain universal classical spin models that are characterized by the given degrees of...
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modi ed XY model with increased vortex fugacity.
Interplay of spin waves and vortices in the 2D XY model at small …
WEBJul 3, 2020 · We present large-scale Monte-Carlo simulations of the spin stiffness and vortex density for this modified XY model and show that even at large vortex fugacity, …
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XY model - arXiv.org
WEBVortices in a 2D XY model dis-rupt the spin alignments even at large distances and cor-respond to singularities of the order-parameter field [4]. In 2D XY model, vortices are …
XY model - GitHub Pages
WEBEach pixel on the computer represents an XY model spin. The spins in this simulation are soft, which means that the 2-component vector at each site is not constrained to a unit …
WEBHenrik Jeldtoft Jensen Department of Mathamtics Imperial College Keywords: Generalised rigidity, Topological defects, Two Dimensional XY-model, Superconductivity, Two …
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
WEBThe Berezinskii–Kosterlitz–Thouless (BKT) transition is a phase transition of the two-dimensional (2-D) XY model in statistical physics. It is a transition from bound vortex …
Numerical Studies of Vortices and Helicity Modulus in the Two ...
WEBTwo-dimensional generalized XY spin model on a triangular lattice is studied by means of Monte-Carlo simulations. The critical temperatures of Berezinskii-Kosterlitz-Thouless …
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 …
The classical two-dimensional XY model with in-plane magnetic field
WEBFeb 19, 1990 · The authors present analytical and numerical simulation studies on the two-dimensional XY classical ferromagnetic model with weak in-plane magnetic field (the …
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 days ago · XY-model (q= 1), our results align with expectations ... phase transition and vortex stability in the generalized xy models. Physics Letters A, 319(1-2):114–121, 2003. …
Vortex entropy and superconducting fluctuations in ultrathin
WEB3 days ago · Based on the 2D vortex creeping model, ... {\alpha }_{{xy}}\) in this regime, ... Such a symmetry breaking effect, of either spin or charge, is not taken into account by …
Insight into the dissipative oscillatory micropolar wavy flow ...
WEBMay 28, 2024 · Delving into the intricacies of vortex viscosity and spin gradient viscosity is a cornerstone of fluid dynamics, unveiling profound insights into the behavior of rotating …
Investigating quantum criticality and multipartite entanglement in …
WEBMay 29, 2024 · In this work, we utilize the quantum renormalization-group (QRG) method to investigate quantum phase transitions (QPT) in a one-dimensional anisotropic spin-1/2 …
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WEBStarting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having short correlation length and a …
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WEBXY-model. The stripe structures can be observed in systems with mobile defects which described by the two-dimensional XY-model [22,23] and by other lattice models [24{28] …
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