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- The peculiar nature of the disordering mechanism causing this phase transition, is that these disorders cannot be removed by any continuous transformations of the spin orientation.
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See all on WikipediaTopological 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 …
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 …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
• H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, (Oxford University Press, Oxford and New York 1971); 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. 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 …
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 …
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 …
WebMar 21, 2022 · Abstract. We study effects of competing pairwise higher-order interactions (HOI) with alternating signs and exponentially decreasing intensity on critical behavior of …
WebJul 30, 1989 · In this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two …
WebAug 6, 2020 · The XY model at zero temperature in the absence of an external field has all spins aligned in a particular direction corresponding to a ferromagnetic phase and shows …
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 …
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 …
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 …
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 …
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 …
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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 …
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
WebIn the 2-D XY model, vortices are topologically stable configurations. It is found that the high-temperature disordered phase with exponential correlation decay is a result of the …
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 …
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 …
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 …
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 …
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 …
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 …
WebThere exist two phases in theXYmodel: a low-temperature phase, charac- terized by the bound vortex-antivortex pairs with quasi-long- range order (QLRO), where the spin …
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