Chen and Dohm predicted theoretically in 2004 that the widely believed universality principle is violated in the Ising model on the simple cubic lattice with more than only six nearest neighbours. Schulte and Drope by Monte Carlo simulations found such violation, but not in the predicted...

Opinion dynamics is studied through a minimal Ising model with three main influences (fields): personal conservatism (power-law distributed), inter-personal and group pressure, and a global field incorporating peer-to-peer and mass communications, which is generated bottom-up from the faction...

Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful...

The phase diagrams of the semi-infinite Ising ferromagnet with decorated magnetic (spin-S) and nonmagnetic atoms on the surface are investigated within the framework of the effective-field theory. In particular, the critical properties of the special point in the surface phase diagram are...

The Shore–Sethna model is one of the simplest spin models including frustration at microscopic level. It consists of a three-dimensional system of Ising spins with ferromagnetic nearest-neighbors and antiferromagnetic next-nearest-neighbors interactions, and the competition between these two...

The quenched site-diluted Ising ferromagnet, with a probability p for site occupation, is studied on a square lattice. A method, based on self-organized criticality, drives the system spontaneously to the critical point, providing an efficient way to estimate critical properties for different...

The ferromagnetic spin-1 Ising model with a transverse crystal field is studied within the framework of the effective field theory on honeycomb, square and cubic lattices. We have investigated the effect of the transverse crystal field on the magnetization and quadrupolar moments, and phase...

We study Baxter–Wu triangular model with fixed magnetization in the framework of canonical and microcanonical ensemble, constructing the density of states by Wang–Landau algorithm. We use an approximation similar to a recently developed scheme (critical minimum energy subspace). In this...

An expanded Bethe–Peierls approximation is used to study the magnetic properties of the magnetic superlattice, which consists of a mixed spin-12 and spin-1 (with a single-ion anisotropy D) alternate ferromagnetic monolayers with antiferromagntic coupling at the interlayers. By using the...

In this paper, we explore the magnetoelectric coupling in Ca3CoMnO6-type compound with the consideration of interaction between spins. Under the linear approximation of nearest-neighbor spin interaction with respect to the ion displacement, both the Hamiltonian and the partition function of the...