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- The high-temperature disordered phase of the XY model is peculiar because12:
- It is characterized by topological defects, leading to a vortex-unbinding transition.
- These defects cannot be removed by continuous transformations of the spin orientation.
- In two dimensions, the XY model exhibits the Kosterlitz-Thouless transition, which is of infinite order and has exponential spin correlations above the transition temperature TKT3.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Topological defects in the XY model leads to a vortex-unbinding transition from the low-temperature phase to the high-temperature disordered phase.www.chemeurope.com/en/encyclopedia/XY+model…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.web.mit.edu/8.334/www/grades/projects/projects12…Thus the XY-model cannot have an ordered phase at low temperature like the Ising model does. Yet in two dimensions it does show the very peculiar Kosterlitz-Thouless (KT) transition, which is very soft, of infinite order. Above the transition temperature TKT, correlations between spins decay exponentially as usual, with some correlation length ξ.itp.tugraz.at/MML/isingxy/isingxy.pdf - People also ask
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See all on WikipediaClassical XY model | Wikipedia
This is what makes them peculiar from other phase transitions which are always accompanied with a symmetry breaking. Topological defects in the XY model lead to a vortex-unbinding transition from the low-temperature phase to the high-temperature disordered phase. 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 n-vector model for … 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 … See moreAs 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.
• Using … See moreWikipedia text under CC-BY-SA license WEBMay 16, 2012 · Kosterlitz and Thouless have shown that the model un-dergoes a Kosterlitz-Thouless (KT) phase transition from the quasi-ordered into a disordered high …
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 …
WEBWe study the effect of uncorrelated random disorder on the temperature dependence of the superfluid stiffness in the two-dimensional classical XY model. By means of a …
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
- Publish Year: 2019
WEBXY-model cannot have an ordered phase at low temperature like the Ising model does. Yet in two dimensions it does show the very peculiar Kosterlitz-Thouless (KT) transition, …
WEBFor ferromagnetic interactions J > 0, the XY-model has a second-order phase transition separating a low temperature phase with non-zero magnetization from a massive …
The phase diagram of a generalised XY model | IOPscience
WEBJul 30, 1989 · Three phases occur as temperature and the two interaction strengths are varied: a high-temperature, disordered phase, and two low-temperature phases with …
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 …
Title: Disordered XY model: effective medium theory and beyond …
WEBNov 21, 2018 · We study the effect of uncorrelated random disorder on the temperature dependence of the superfluid stiffness in the two-dimensional classical XY model. By …
Critical analysis of two-dimensional classical XY model
WEBAug 6, 2020 · In the low-temperature phase of the XY model, there is a quasi-long-range order (QLRO) phase and we have: while in the high-temperature disordered phase, …
WEBthere is a low-temperature quasi-ordered phase with a correlation function that decreases with the distance like a power, which depends on the temperature [33]. Because the 2D …
Critical Behavior of Mean-Field XY and Related Models
WEBSep 27, 2017 · Instead, the 2D XY model exhibits the peculiar Kosterlitz-Thouless (KT) transition, a phase transition of infinite order and the subject of a Nobel prize. Above the …
Classical XY model | Wikiwand articles
WEBThis is what makes them peculiar from other phase transitions which are always accompanied with a symmetry breaking. Topological defects in the XY model lead to a …
WEBThe quantum XY spin chain is a one-dimensional statistical mechanics model used to understand the behavior of materials through their microscopic quantum spins and their …
Phase diagram of generalized XY model using the tensor …
WEBAug 6, 2024 · We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. …
WEBno ferromagnetic phase occurs in the random-field XY model at nonzero temperature in d = 3. Second, and quite interestingly, given our choice of ver-tical axis values, it revealed …
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 …
Phase transitions in $XY$ models with randomly oriented crystal …
WEBFeb 8, 2022 · We also studied the effect of asymmetry on a bimodal distribution of the orientation of the random crystal field and obtained the phase diagram comprising four …
Condensed Matter | Free Full-Text | Uniformly Frustrated XY …
WEBNov 6, 2021 · The model Equation with f = 1 / 2 is also known as the fully frustrated XY model (FFXY) and as such it has been extensively studied (see and reference therein) …
- Some results have been removed
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