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- What makes the high temperature disordered phase of the xy model peculiar?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.What makes the high temperature disordered phase of the xy model peculiar?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…What makes the high temperature disordered phase of the xy model peculiar?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…What makes the high temperature disordered phase of the xy model peculiar?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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Classical 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 Disordered XY model: Effective medium theory and beyond
Critical analysis of two-dimensional classical XY model
Title: Disordered XY model: effective medium theory and beyond
The phase diagram of a generalised XY model - IOPscience
Critical Behavior of Mean-Field XY and Related Models
Phase diagram of generalized XY model using the tensor …
XY model - chemeurope.com
5: A sketch of the phase diagram of the disordered XY model.
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
Critical properties of classical XY and Heisenberg models: A …
(PDF) Phase Transition in the2D XYModel - Academia.edu
Classical XY model - Detailed Pedia
Phase diagram of the topologically frustrated XY chain
Phase transitions in $XY$ models with randomly oriented crystal …
Phys. Rev. B 84, 224420 (2011) - Spin-ice phase in a modified …
- Some results have been removed