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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
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 … 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 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 See more
• H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, (Oxford University Press, Oxford and New York 1971);
• H. Kleinert, Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW AND VORTEX LINES", … 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 … See moreWikipedia text under CC-BY-SA license Disordered XY model: Effective medium theory and beyond
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
Critical analysis of two-dimensional classical XY model
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XY model - arXiv.org
The phase diagram of a generalised XY model - IOPscience
Critical Behavior of Mean-Field XY and Related Models
Condensed Matter | Free Full-Text | Uniformly Frustrated XY …
Critical properties of classical XY and Heisenberg ... - ScienceDirect
The phase diagram of a generalised XY model | Semantic Scholar
XY model - chemeurope.com
Ordering kinetics and steady states of XY-model with ... - PubMed
Phase diagram of a square lattice model of XY Spins with …
(IUCr) Rigid-Body Disorder Models for the High-Temperature …
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