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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) 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 Berezinski-Kosterlitz-Thouless transition between … See more
Wikipedia text under CC-BY-SA license WEBThe XY model, which can be obtained from the Heisenberg Hamiltonian by turning ofi the coupling between z spin components, reduces to a free theory of spinless fermions …
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WEBApr 15, 2024 · dipolar XY model [Chen et al., Nature (2023)], we numerically study the model’s equilibrium prop-erties. We obtain the phase diagram, critical properties, …
WEBWe have a number of times alluded to the fact that not only the XY-model exhibit the Kosterlitz-Thouless vortex unbinding transition. Any two dimensional system that sup- …
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WEBWe studied the 2-dimensional XY model through a spin-dynamic simulation, by introducing a classical rota-tion. The magnetization, energy, susceptibility, heat capacity and …
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 …
WEBdipolar XY model [Chen et al., Nature (2023)], we numerically study the model’s equilibrium prop-erties. We obtain the phase diagram, critical properties, entropies, variance of the …
WEBAug 9, 2021 · We analyze the behavior of the induced and spontaneous magnetization as functions of the external field, investigating the magnetic properties at the ground state, …
WEBMay 5, 2023 · Magnetism in the two-dimensional dipolar XY model. Motivated by a recent experiment on a square-lattice Rydberg atom array realizing a long-range dipolar XY …
WEBOct 29, 2004 · We investigate the low-temperature phase of the two-dimensional dipolar X Y model. Within the framework of the nonlinear σ model we show that the dipolar X Y …
Critical analysis of two-dimensional classical XY model
WEBAug 6, 2020 · We introduce a small external magnetic field that breaks the O (2) symmetry to determine the critical temperatures at small field strengths by looking at the response …
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 …
Orientation-position coupling in the two-dimensional XY model
WEBJul 17, 2024 · In the present study, we extend the 2D classical XY model by making the exchange energy dependent on the spin position; this model is referred to as the 2D …
WEBThe Ising model is one of the simplest and most fundamental models of statistical mechanics. It can be used to describe such diverse phenomena as magnets; liquid/gas …
The critical properties of the two-dimensional xy model
WEBMar 21, 1974 · The critical properties of the xy model with nearest-neighbour interactions on a two-dimensional square lattice are studied by a renormalization group technique. The …
2D XY model - The Public's Library and Digital Archive
WEBOct 11, 2015 · Monte-Carlo simulations of spins dynamics in the XY magnetic model. Similar to the Ising model spins with different orientation φ are painted in different colors …
Critical Behavior of Mean-Field XY and Related Models
WEBSep 27, 2017 · 3.1 The Magnetization in O(N) Models. Similar to the classical XY model, we can calculate the magnetization of the classical N-vector unit hyperspherical model …
WEBIn this work, we perform a systematic study of the validity and limits of this two-step approach by constructing optimised initial conditions for the BKT flow. We find that the …
Engineering Ising-XY spin-models in a triangular lattice using
WEBSep 1, 2013 · Deeper insight into complex magnetic behaviour and the nature of magnetic phase transitions can be obtained from, for example, model systems of coupled XY and …
a The magnetization of the 2D XY model starting from the …
WEBIn this paper, spin-reorientation critical dynamics in the two-dimensional XY model is investigated with Monte Carlo simulations and theoretical analyses based on the …
condensed matter - Magnetization in Quantum Transverse Ising …
WEBFor those interested, the transverse magnetization takes the formula $m_x = \frac{1}{\pi} \int_0^\pi dk \frac{1+\frac{J}{h}\cos(k)}{\sqrt{1+2\frac{J}{h}\cos(k)+\frac{J^2}{h^2}}}$, with …
StellaContrail/ising-models: 2D/3D Ising model, XY model - GitHub
WEBTemperature dependence of magnetization (XY Model) The BKT transition is successfully reproduced in the low-temperature region.
Scalable spin squeezing from finite-temperature easy-plane …
WEB1 day ago · a,b, The dynamics (d = 1) of the squeezing parameter ξ 2 (blue) and the XY order, m xy (red), as functions of time upon quenching from an initial product state …
Hamiltonian Dynamics and the Phase Transition of the XY Model
WEBAug 3, 1998 · A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived …
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WEB2 days ago · Paula Scanlan (L), Jennifer Sey (C), Riley Gaines (R) Courtesy of XX-XY Athletics Meta Hamstrings XX-XY. Gaines, who is an XX-XY brand ambassador, is a …
WEB7 hours ago · actions between the polarization and magnetization densities of the different matter elements. In total there are four differ-ent effective couplings: a coupling between …
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