Adam, ChristophRomanczukiewicz, T.Sánchez Guillén, José JoaquínWereszczynski, Andrzej2020-04-162020-04-162014Adam, C., Romanczukiewicz, T., Sanchez-Guillen, J. et al. Magnetothermodynamics of BPS baby skyrmions. J. High Energ. Phys. 2014, 95 (2014). https://doi.org/10.1007/JHEP11(2014)0951029-8479http://hdl.handle.net/10347/21460The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field H and under external pressure P, i.e., V = V (P,H), where V is the “volume” (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic mediumeng© 2014 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 instantonsChiral lagrangiansTopological states of matterjournal article10.1007/JHEP11(2014)095open access