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arXiv · 1501.03817

Topological phase transitions in the gauged BPS baby Skyrme model

C. Adam·C. Naya·T. Romanczukiewicz·J. Sanchez-Guillen·A. Wereszczynski
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Abstract

We demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a ferromagnetic liquid. Such a transition can be generated by increasing the external pressure $P$ or by turning on an external magnetic field $H$. As a consequence, the topological phase where gauged BPS baby skyrmions exist, is a higher density phase. For smaller densities, obtained for smaller values of $P$ and $H$, a phase without solitons is reached. We find the critical line in the $P,H$ parameter space. Furthermore, in the soliton phase, we find the equation of state for the baby skyrmion matter $V=V(P,H)$ at zero temperature, where $V$ is the "volume", i.e., area of the solitons.

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C. Adam, C. Naya, T. Romanczukiewicz, J. Sanchez-Guillen, A. Wereszczynski. 2015-01-15. Topological phase transitions in the gauged BPS baby Skyrme model. https://arxiv.org/abs/1501.03817

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