https://doi.org/10.1140/epjp/s13360-023-04076-0
Regular Article
Geometrical aspects of the multicritical phase diagrams for the Blume–Emery–Griffiths model
1
Institute of Science, Akdeniz University, 07058, Antalya, Turkey
2
Food Safety and Agricultural Research Centre, Akdeniz University, 07058, Antalya, Turkey
3
Department of Physics, Akdeniz University, 07058, Antalya, Turkey
4
Department of Physics, Dokuz Eylül University, 35210, İzmir, Turkey
b rerdem@akdeniz.edu.tr, rizaerdem07@gmail.com
Received:
22
March
2023
Accepted:
8
May
2023
Published online:
20
May
2023
As a continuation of our preceding work (Erdem and Alata in Eur Phys J Plus 135:911, 2020, https://doi.org/10.1140/epjp/s13360-020-00934-3), we used the thermodynamic geometry in the Ruppeiner formalism to study the geometrical aspects of the multicritical phase diagrams for the spin-1 Blume–Emery–Griffiths model in the presence of crystal field. We derived an expression for the thermodynamic curvature or Ricci scalar (R) and analyzed its temperature and crystal field behaviours near interesting critical and multicritical points. Our findings are presented as geometrical phase diagrams including critical and multicritical topology. From these diagrams, new vanishing curvature lines (
) extending into the ferromagnetic or paramagnetic phases beyond the critical points and zero point temperature are observed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
