The article provides a tutorial review on how to treat Ising models within mean-field (MF),
effective-field (EF) and exact methods. MF solutions of the spin-1 Blume-Capel (BC) model …

Band structure calculations using the spin-polarized ASW method were performed on the
title compounds. Nonmetallic behavior is attributed to spin-polarization-induced opening of a …

In this review, we outline some principal theoretical knowledge of the properties of frustrated
spin systems and magnetic thin films. The two points we would like to emphasize:(i) the …

Materials science has been intensively developed during the last 30 years. This is due, on
the one hand, to an increasing demand of new materials for new applications and, on the …

Abstract The anti-ferromagnetic spin-1/2 Ising model on the pure Husimi lattice with three
sites in the elementary polygon (p= 3) and the coordination number z= 4 is investigated. It …

Geometric frustration commonly occurs in materials where magnetic rare-earth ions are
arranged on a two-dimensional triangular lattice. These compounds have been gaining …

We investigate the anti-ferromagnetic spin-1/2 1/2 Ising model with the presence of the
multisite interaction on the pure Husimi lattice with three sites in the elementary polygon (p …

We study by extensive Monte Carlo (MC) simulations and analytical Green's function (GF)
method effects of frustrated surfaces on the properties of thin films made of stacked …

We solve exactly a generalized Kagomé Ising lattice with three kinds of interactions by
transforming the system into a 16-vertex model that satisfies the free-fermion condition. The …

Abstract By extensive Monte Carlo simulations, we show that the magnetic phase transition
is of first order in the hexagonal-close-packed lattice with vector (XY and Heisenberg) spins …