Self-dual anisotropic two-dimensional Ising models with multispin interactions

Self-dual anisotropic two-dimensional Ising models with multispin interactions

Ordering in Two-Dimensional Ising Models with Competing Interactions

We study the 2D Ising Model on a square lattice with additional non-equal diagonal next-nearest neighbor interactions. The cases of classical and quantum (transverse) models are considered. Possible phases and their locations in the space of three Ising couplings are analyzed. In particular, incommensurate phases, occurring only at non-equal diagonal couplings, are predicted. In a particular re...

Critical Binder cumulant in two–dimensional anisotropic Ising models

The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next–nearest neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility to relate the value of the critical cumulant in the isotropic, nearest neighbour and in the anisotropic cases to each other by means of a scale transformation in rectan...

Dynamic critical exponents of the Ising model with multispin interactions

We revisit the short-time dynamics of 2D Ising model with three spin interactions in one direction and estimate the critical exponents z, θ, β and ν. Taking properly into account the symmetry of the Hamiltonian we obtain results completely different from those obtained by Wang et al.. For the dynamic exponent z our result coincides with that of the 4-state Potts model in two dimensions. In addi...

Two dimensional Ising model with long-range competing interactions

The two-dimensional Ising model with competing short range ferromagnetic interactions and long range antiferro-magnetic interactions is perhaps the most simple one containing the minimal microscopic ingredients necessary for an appropriate description of the macroscopic properties of ultrathin films and quasi−two−dimensional magnetic materials. Despite such relative simplicity, the frustration ...