Critical behaviour of the semi-infinite spin-2 Ising model

N. Hachem (), A. Ezzaime and M. El Bouziani
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N. Hachem: Chouaïb Doukkali University
A. Ezzaime: Chouaïb Doukkali University
M. El Bouziani: Chouaïb Doukkali University

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 4, 1-8

Abstract: Abstract 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. Graphic abstract

Date: 2025
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DOI: 10.1140/epjb/s10051-025-00929-y

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