Exact results of a mixed spin-1/2 and spin-S Ising model on a bathroom tile (4–8) lattice: Effect of uniaxial single-ion anisotropy

Abstract

Effect of uniaxial single-ion anisotropy upon magnetic properties of a mixed spin-1/2 and spin-S (S ≥ 1) Ising model on a bathroom tile (4-8) lattice is examined within the framework of an exact star-triangle mapping transformation. The particular attention is focused on the phase diagrams established for several values of the quantum spin number S. It is shown that the mixed-spin bathroom tile lattice exhibits very similar phase boundaries as the mixed-spin honeycomb lattice whose critical points are merely slightly enhanced with respect to the former ones. The influence of uniaxial single-ion anisotropy upon the total magnetization vs. temperature dependence is particularly investigated as well.

The mixed spin-1/2 and spin-1 Ising system on a two-layer Bethe lattice

“…The existence of compensation points has been reported in many previous works on mixed-spin Ising models [51,56,59,63]. It has a technological interest since this property is used in several devices for information storage and retrieval.…”

“…The L-type and Ptype curves are very analogous, displaying a temperatureinduced maximum as the temperature is raised from zero. However, for the L-type curve [62], the resultant magnetization starts from zero [63]. These morphologies depend strongly on the values of the interaction parameters of the model.…”

Mixed spin-1/2 and spin-1 Ising model with uniaxial and biaxial single-ion anisotropy on the Bethe lattice

“…For easy reference, we will further use the extended Néel classification [8,52,53] to refer to the different types of temperature dependences of the total magnetization, which is schematically displayed in Fig. 5.…”

“…These mapping transformations were subsequently further generalized in order to account also for single-ion anisotropy terms. Actually, the procedure based on generalized mapping transformations was recently employed to obtain exact results for mixedspin Ising models with a uniaxial single-ion anisotropy on a honeycomb lattice [4][5][6][7], a bathroom-tile (4-8) lattice [8], as well as several decorated planar lattices [9][10][11][12][13][14]. On the other hand, the mixed-spin Ising models that also account for biaxial single-ion anisotropies have thus far been solved exactly only on a honeycomb [15,16] and a diced [17] lattice.…”

Hysteresis and Compensation Behaviors of Mixed Spin-1 and Spin-2 Hexagonal Ising Nanowire System

“…6(d) illustrates the P-type behaviors for r = -0.3, ∆ S = -0.99, D = 0.0. The Q-, R-, and N-types of compensations behaviors classified in the Néel theory [56] and S-type was obtained by Strečka [57].…”