Exact solution of the mixed-spin Ising model on a decorated square lattice with two different kinds of decorating spins on horizontal and vertical bonds

Abstract

The mixed spin-(1/2, S_B, S_C) Ising model on a decorated square lattice with two different kinds of decorating spins S_B and S_C placed on its horizontal and vertical bonds, respectively, is exactly solved by establishing a precise mapping relationship with the corresponding spin-1/2 Ising model on an anisotropic square (rectangular) lattice. The effect of uniaxial single-ion anisotropy acting on both types of decorating spins S_B and S_C is examined in particular. If decorating spins S_B and S_C are integer and half-odd-integer, respectively, or if the reverse is the case, the model under investigation displays a very peculiar critical behavior beared on the spontaneously ordered 'quasi-1D' spin system, which appears as a result of the single-ion anisotropy strengthening. We have found convincing evidence that this remarkable spontaneous ordering virtually arises even though all integer-valued decorating spins tend towards their 'non-magnetic' spin state S=0 and the system becomes disordered only upon further increase of the single-ion anisotropy. The single-ion anisotropy parameter is also at an origin of various temperature dependences of the total magnetization when imposing the pure ferrimagnetic or the mixed ferro-ferrimagnetic character of the spin arrangement.

arXiv comment10 pages, 5 figures, submitted to Phys. Rev. B

References in corpus (8)

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• Effect of uniaxial and biaxial crystal-field potential on magnetic properties of a mixed spin-1/2 and spin-1 Ising model on honeycomb lattice
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• Weak universality, bicritical points and reentrant transitions in the critical behaviour of a mixed spin-1/2 and spin-3/2 Ising model on the union jack (centered square) lattice
• Soluble kagome Ising model in a magnetic field
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• Exact solution of the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice

Cited by in corpus (10)

• Generalized Transformation for Decorated Spin Models
• Magnetic and magnetocaloric properties of the exactly solvable mixed-spin Ising model on a decorated triangular lattice in a magnetic field
• Frustrated Ising model on the Cairo pentagonal lattice
• Reentrant phase transitions and multicompensation points in the mixed-spin Ising ferrimagnet on a decorated Bethe lattice
• Mixed spin-1/2 and spin-1 Ising model with uniaxial and biaxial single-ion anisotropy on Bethe lattice
• Phase transitions of the mixed spin-1/2 and spin-S Ising model on a three-dimensional decorated lattice with a layered structure
• Two dimensional XXZ-Ising model on square-hexagon lattice
• Exact results of the mixed-spin Ising model on a decorated square lattice with two different decorating spins of integer magnitudes
• Magnetic behavior of a ferro-ferrimagnetic ternary alloy AB${}_{\rho }$C${}_{1-\rho }$ with a selective site disorder: the case study of a mixed-spin Ising model on a honeycomb lattice
• Conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice