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See all on WikipediaClassical XY model - Wikipedia
Topological defects in the XY model lead to a vortex-unbinding transition from the low-temperature phase to the high-temperature disordered phase. Indeed, the fact that at high temperature correlations decay exponentially fast, while at low temperatures decay with power law, even though in both regimes … See more
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
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
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
• 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 the two point spin …• H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, (Oxford University Press, Oxford and New York 1971); See more
Wikipedia text under CC-BY-SA license WebMay 16, 2012 · Three phases occur as temperature and the interaction varied: a high-temperature disordered phase and two low-temperature phases algebraic correlations …
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Webtemperature phase of the XY model is said to posses quasi–long range order, as opposed to true long range order that accompanies a finite magnetization. What is the …
Disordered XY model: Effective medium theory and beyond
WebMar 11, 2019 · Monte Carlo results for a disordered XY model with random diluted couplings. The three response functions are plotted: (a) J s, (b) J d, and (c) J p as a …
- Author: I. Maccari, L. Benfatto, C. Castellani
- Estimated Reading Time: 2 mins
- Publish Year: 2019
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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WebDisordered XY model: Effective medium theory and beyond. We study the effect of uncorrelated random disorder on the temperature dependence of the superfluid …
WebAs the Hohenberg-Mermin-Wagner theorem forbids phase transitions resulting from a transition from a disordered to an ordered state with rising temperature, a new state …
WebMay 7, 2010 · dimensional XY model. There exist two phases: (i) Under low temperature, there is a quasi-long range order phase. (ii) Under high temperature, there is a …
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XY model - arXiv.org
WebIt is found that the high temperature dis-order phase with an exponential correlation is a result of the formation of vortices. The critical temperature at which the KT transition …
The phase diagram of a generalised XY model - IOPscience
WebJul 30, 1989 · In this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two …
Multiple phase transitions in the XY model with nematic-like …
WebSep 22, 2018 · At higher temperatures there is a phase transition of the Berezinskii–Kosterlitz–Thouless type to the q = 4 nematic-like phase, followed by two …
Critical analysis of two-dimensional classical XY model
WebAug 6, 2020 · while in the high-temperature disordered phase, we have: where S ( r) is a planar spin of magnitude one on site r = ( x, y) of a square lattice, ξ is the correlation …
Weba quantum phase transition in the Transverse XY Model between a Mott Insulator phase and and super uid phase is detailed below. DYNAMICAL SYSTEM: THE QUANTUM XY …
Continuous symmetry breaking in a two-dimensional Rydberg array
WebFeb 27, 2023 · Instead, most two-dimensional XY models have an algebraic long-range ordered phase at low temperatures, separated from the high-T disordered phase by a …
WebApr 15, 2024 · separately in the disordered and ordered phases, each initiated by their analytically known asymptotic behavior (solid pur-ple for spin waves and dashed …
XY_model - chemeurope.com
WebTopological defects in the XY model leads to a vortex-unbinding transition from the low-temperature phase to the high-temperature disordered phase. In two dimensions the …
The phase diagram of a generalised XY model | Semantic Scholar
WebIn this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two interaction strengths are …
(PDF) Uniformly Frustrated XY Model: Strengthening of the …
WebNov 6, 2021 · By means of Monte Carlo simulations on the uniformly frustrated XY model in two dimensions, we show that while for weak pinning the superconducting critical …
Multiple phase transitions in the XY model with nematic-like …
WebSep 22, 2018 · At higher temperatures there is a phase transition of the Berezinskii–Kosterlitz–Thouless type to the q = 4 nematic-like phase, followed by two …
Condensed Matter | Free Full-Text | Uniformly Frustrated XY …
WebNov 6, 2021 · By means of Monte Carlo simulations on the uniformly frustrated XY model in two dimensions, we show that while for weak pinning the superconducting critical …
Phys. Rev. E 105, 024111 (2022) - Phase transitions in $XY
WebFeb 8, 2022 · We show that the critical temperature is insensitive to the nature and strength of the distribution p(α), for a large family of distributions which includes quadriperiodic …
Webromagnetic phases occur at high temperature-high field and low temperature-low field, respectively. It is seen that the ferromagnetic phase, in random field, disappears as q …
(IUCr) Rigid-Body Disorder Models for the High-Temperature …
WebA disorder model that includes three sites for each C 5 H 5 ring is the best of the models that were investigated, which indicates that the structure of the high-temperature phase …
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