Adam, ChristophNaya Rodríguez, CarlosRomanczukiewicz, T.Sánchez Guillén, José JoaquínWereszczynski, Andrzej2020-04-162020-04-162015Adam, C., Naya, C., Romanczukiewicz, T. et al. Topological phase transitions in the gauged BPS baby Skyrme model. J. High Energ. Phys. 2015, 155 (2015). https://doi.org/10.1007/JHEP05(2015)1551029-8479http://hdl.handle.net/10347/21455We 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 solitonseng© 2015 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttps://creativecommons.org/licenses/by/4.0Field Theories in Lower DimensionsSolitons monopoles and instantonsTopological states of matterjournal article10.1007/JHEP05(2015)155open access