https://doi.org/10.1140/epjb/s10051-025-00929-y
Regular Article - Statistical and Nonlinear Physics
Critical behaviour of the semi-infinite spin-2 Ising model
Laboratory LPMC, Faculty of Sciences, Chouaïb Doukkali University, El Jadida, Morocco
Received:
30
January
2025
Accepted:
15
April
2025
Published online:
28
April
2025
Using the Migdal–Kadanoff renormalization group approach, we studied the three-dimensional semi-infinite spin-2 Ising model. Initially, we plotted the phase diagrams of the infinite spin-2 model in the bidimensional and tridimensional cases, where the system exhibits first- and second-order phase transitions and a tricritical point. Based on the ratios of bulk interactions to surface ones, three generic types of surface phase diagrams were identified, marked by tricritical behaviour and interesting second-order phase transitions, particularly ordinary, extraordinary, surface, and special transitions.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
