2007/01/31 by Jozef Strečka, Jozef Strecka, Lucia Canova +3 · 1 citation
Physics and Astronomy · #Anisotropy #Complex Network Analysis Techniques #Condensed matter physics #Ferrimagnetism #Ion #Ising model #Lattice (music) #Magnetic field #Magnetization #Physics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Square lattice #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.76.014413
published as Phys. Rev. B 76 (2007) 014413 · 10 pages, 5 figures, submitted to Phys. Rev. B
openalex publication_date 2007/07/11 · arxiv created 2007/07/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The mixed-spin-(1∕2,SB,SC) Ising model on a decorated square lattice with two different kinds of decorating spins SB and SC (SB\ensuremath≠SC) 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 SB and SC is examined, in particular. If decorating spins SB and SC are integer and half-odd-integer, respectively, or if the reverse is the case, the model under investigation displays a very peculiar critical behavior that had bearing on the spontaneously ordered ``quasi-one-dimensional'' 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 toward their ``nonmagnetic'' 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.