What makes the high temperature disordered phase of the XY model peculiar? - Search
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  2. 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.pdf
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    Do XY models have a long-range ordered phase?Instead, most two-dimensional XY models have an algebraic long-range ordered phase at low temperatures, separated from the high- T disordered phase by a BKT transition at a critical temperature TBKT (refs. 38, 39, 40, 41 ).
    Does XY model have phase transitions at finite temperature?Indeed, like the one-dimensional Ising model, the one-dimensional XY model has no phase transitions at finite temperature. The same computation for periodic boundary condition (and still h = 0) requires the transfer matrix formalism, though the result is the same. (Click "show" at right to see the details of the transfer matrix formalism.)
    Does XY model have a ferromagnet-paramagnet phase transition?In three and higher dimensions the XY model has a ferromagnet-paramagnet phase transition. At low temperatures the spontaneous magnetization is nonzero: this is the ferromagnetic phase. As the temperature is increased, spontaneous magnetization gradually decreases and vanishes at a critical temperature.
    What is classical XY model?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 n = 2 .
     
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