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- The continuous version of the XY model is often used to model systems that possess order parameters with the same kinds of symmetry, e.g. superfluid helium, hexatic liquid crystals.www.chemeurope.com/en/encyclopedia/XY_model.html
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Classical XY model - Wikipedia
The continuous version of the XY model is often used to model systems that possess order parameters with the same kinds of symmetry, e.g. superfluid helium, hexatic liquid crystals. This is what makes them peculiar from other phase transitions which are always accompanied with a symmetry … See more
The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. … 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) See more
As 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, … See more• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the See more
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