Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

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.

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Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

Cited by 2 publications

References 61 publications

External and Crystal Magnetic Field Effects on the Compensation Phenomena of Mixed-Spin (5/2, 7/2) Hexagonal Ising Nanowire

External and Crystal Magnetic Field Effects on the Compensation Phenomena of Mixed-Spin (5/2, 7/2) Hexagonal Ising Nanowire

Critical Behavior of the Semi-Infinite Mixed Spins (7/2, 1/2) Model

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