By using extensive tensor network calculations, we map out the phase diagram of the
frustrated J 1-J 2 Ising model on the square lattice. In particular, we focus on the cases with …

We study the Ising model on a bilayer honeycomb lattice with frustrated antiferromagnetic
interactions using the cluster mean-field method. We investigate the role of exchange …

A two-dimensional Ising model with nearest-neighbors ferromagnetic interactions is
implemented in a Field Programmable Gate Array (FPGA) board. Extensive Monte Carlo …

Critical and in the highly frustrated regime also dynamical properties of the J 1− J 2 Ising
model with competing nearest-neighbor J 1 and second-nearest-neighbor J 2 interactions …

We study the effects of a BCS-like pairing mechanism on the frustrated J 1− J 2 model on the
square lattice. The model is expressed in a fermionic formulation, in which the fermions that …

We investigate the phase transitions in the Ising model on a layered square lattice with first-
(J 1) and second-(J 2) neighbor intralayer interactions and interlayer couplings (J). The …

We investigate the Ising model on the bilayer square lattice with antiferromagnetic
interactions between first-(J 1) and second-neighbors (J 2) inside each layer and a …

We study a recently proposed spin-1 model with competing antiferromagnetic first-neighbor
interaction and a third-neighbor coupling mediated by nonmagnetic states, which …

In this study, it is investigated the effect of quantum fluctuations on the J 1− J 2 Blume–Capel
model. The cluster mean field theory in the four site approximation is used to find the …

We present a study of the thermal phase transitions between paramagnetic (PM) and
antiferromagnetic (AF) phases in the J 1-J 2 frustrated honeycomb Ising model. In this …