In this paper, we propose to solve the issues of long-range or next-neighbor interactions by
introducing randomness. This approach is applied to the square lattice Ising model. The …

The Ising model with nearest-neighbor and next-nearest-neighbor interactions of the
coupling constants J 1 and J 2, respectively, is investigated on a square lattice. For J 1= 2 …

Phase transitions of the J 1-J 2 Ising model on a square lattice are studied using the higher-
order tensor renormalization group (HOTRG) method. This system involves a competition …

We propose a method to construct a tensor network representation of partition functions
without singular value decompositions nor series expansions. The approach is …

The classical J 1− J 2 Ising model on the square lattice is a minimal model of frustrated
magnetism whose phase boundaries have remained under scrutiny for decades. Signs of …

We study the J 1-J 2 Ising model on the square lattice using the random local field
approximation (RLFA) and Monte Carlo (MC) simulations for various values of the ratio p= J …

In this paper, we investigate the effect of the nearest-neighbor biquadratic interactions on the
one-dimensional Nagle–Kardar model and study how the interactions affect the the global …

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 …

Free energy as a function of polarization is calculated for the square-lattice $ J_1 $-$ J_2 $
Ising model for $ J_2<| J_1|/2$ using the random local field approximation (RLFA) and …

Ising models with frustrated next-nearest-neighbor interactions present a rich array of
modulated phases. These phases, however, assemble and relax slowly, which hinders their …