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On Phase Transition and Vortex Stability in the Generalized XY Models

L. A. S. Mól·A. R. Pereira·Winder A. Moura-Melo
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Abstract

We study a recent generalization proposed for the XY model in two and three dimensions. Using both, the continuum limit and discrete lattice, we obtained the vortex configuration and shown that out-of-plane vortex solutions are deeply jeopardized whenever the parameter of generalization, $L$, is increased. The critical temperature for such models is calculated using the self consistent harmonic approximation. In both, two- and three-dimensional cases, such a temperature decreases with raising $L$. Our results are also compared with other approximated methods available in the literature.

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L. A. S. Mól, A. R. Pereira, Winder A. Moura-Melo. 2003-06-26. On Phase Transition and Vortex Stability in the Generalized XY Models. https://doi.org/10.1016/j.physleta.2003.10.009

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