Phase transitions and critical phenomena in the antiferromagnetic Ising model on a layered triangular lattice

The Monte Carlo replica algorithm studies of phase transitions and critical phenomena of the layered triangular antiferromagnetic Ising model with intralayer next-nearest neighbor interactions reveal a second-order transition from ordered and disordered phases to paramagnetic phase. The character of phase transitions is analyzed using the histogram technique and Binder cumulant method. Static critical exponents for the heat capacity α, susceptibility γ, order parameter β, correlation radius ν, and the Fisher exponent η are computed by means of the finite-size scaling theory. The second nearest neighbor interactions are shown to fail to change the universality class of the critical behavior in the 3D Ising model on a layered triangular lattice.