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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.web.mit.edu/8.334/www/grades/projects/projects12/Ahmet_Demir8_334_Project…
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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
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 an assignment of the angle −π < θj ≤ π for each j ∈ Λ. 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 …
• 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 the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin …Wikipedia text under CC-BY-SA license - Studies of What makes the high temperature disordered phase of the XY model peculiar?
Disordered XY model: Effective medium theory and beyond
The phase diagram of a generalised XY model - IOPscience
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XY model - arXiv.org
Critical analysis of two-dimensional classical XY model
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
Critical Behavior of Mean-Field XY and Related Models
Multiple phase transitions in the XY model with nematic-like …
Condensed Matter | Free Full-Text | Uniformly Frustrated XY …
The phase diagram of a generalised XY model | Semantic Scholar
XY_model - chemeurope.com
Multiple phase transitions in the XY model with nematic-like …
The two dimensional XY model at the transition temperature: A …
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