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- W2013484208 abstract "Abstract The role of the screening in the vortex-loop phase transition in the anisotropic 3D X-Y model is considered. As the screening plays a decisive role in the 3D X-Y model it is necessary to consider vortex loops with entangled contours. The polymer physics approach is used to show that parts of the contour of such loops undergo the tangle-globule transition. The size of the globule depends on the model parameters (the temperature and the couplings) only. Then the vortex loop may be presented as the chain of successively connected globules. Such loops form the screening medium with a certain Debye screening radius rD. Then the probe vortex excitaiton, which changes the system topology, may be considered as the polymer chain, with the monomer length equal to 2rD and with the whole length comparable with the system size. The system energy increment caused by this excitation depends on the chain length (in rD units) only. Due to this fact one can formulate a Kosterlitz-Thouless-like criterion for the phase transition, related with the appearance of this excitation in the system. As a result the estimation of the critical temperature of the vortex-loop phase transition is obtained in the whole range of the anisotropy index changing." @default.
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- W2013484208 date "1995-02-01" @default.
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- W2013484208 title "The polymer physics approach to the vortex-loop phase transition in the anisotropic 3D X-Y model" @default.
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