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

TL;DR

This paper provides exact analytical results on how uniaxial single-ion anisotropy affects the magnetic phase diagrams and magnetization behavior of a mixed spin-1/2 and spin-S Ising model on a bathroom tile lattice, revealing similarities to honeycomb lattices.

Contribution

It introduces an exact star-triangle mapping transformation to analyze the effects of anisotropy on a mixed-spin bathroom tile lattice, highlighting phase boundary similarities with honeycomb lattices.

Findings

Phase boundaries are similar to those of the honeycomb lattice.

Critical points are slightly enhanced compared to honeycomb lattices.

Uniaxial anisotropy significantly influences magnetization-temperature dependence.

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.