CRITICAL BEHAVIOR OF THE SEMI-INFINITE MIXED SPINS (7/2, 1/2) MODEL

H. Saadi, E. M. Jalal, A. El Antari, N. Hachem, M. Madani and M. El Bouziani
Additional contact information
H. Saadi: Theoretical Physics Group, Laboratory L.P.M.C., Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
E. M. Jalal: Theoretical Physics Group, Laboratory L.P.M.C., Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco†LS2ME Laboratory, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco
A. El Antari: Theoretical Physics Group, Laboratory L.P.M.C., Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
N. Hachem: Theoretical Physics Group, Laboratory L.P.M.C., Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
M. Madani: ��Department of Physics-Chemistry, CRMEF, Meknes, Morocco
M. El Bouziani: Theoretical Physics Group, Laboratory L.P.M.C., Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco

Surface Review and Letters (SRL), 2023, vol. 30, issue 10, 1-13

Abstract: By the use of the Migdal–Kadanoff renormalization group technique and the mean field approximation, we have explored the critical behavior of the semi-infinite mixed spin-7/2 and spin-1/2 Blume–Capel model. As a function of the computation ratios (bulk-surface) R and Y, different phase diagrams in the bulk and on the surface are classified and determined in the (surface anisotropy, temperature) plane. We have found four types of phase diagrams characterized by ordinary, extraordinary, surface, and special phase transitions. The derivative of the free energy and the behavior of the bulk and surface magnetizations are plotted at very low temperatures proving the existence of first-order transitions for both the surface and bulk. We have also presented the related fixed points and the critical exponents manifesting several classes of universality at the surface. Otherwise, a comparison was made between the two methods as well as with previous studies.

Keywords: Semi-infinite; surface; phase diagram; renormalization group; mean-field (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218625X23500713
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:srlxxx:v:30:y:2023:i:10:n:s0218625x23500713

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218625X23500713

Access Statistics for this article

Surface Review and Letters (SRL) is currently edited by S Y Tong

More articles in Surface Review and Letters (SRL) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().