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Critical Behavior Of The Semi-Infinite Mixed Spins (7/2, 1/2) Model

Author

Listed:
  • 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)

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.

Suggested Citation

  • H. Saadi & E. M. Jalal & A. El Antari & N. Hachem & M. Madani & M. El Bouziani, 2023. "Critical Behavior Of The Semi-Infinite Mixed Spins (7/2, 1/2) Model," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-13, October.
    • Handle: RePEc:wsi:srlxxx:v:30:y:2023:i:10:n:s0218625x23500713
    DOI: 10.1142/S0218625X23500713
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