Frustrations and Phase Transitions in Ising Model on 2D Lattices
The problem of frustrations and phase transition appearance or suppression is studied on the base of exact analytical solutions for maximum eigenvalue of Kramers-Wannier transfer matrix in the Ising model on a square lattice , a triangular and honeycomb lattices , and kagome lattice  with allowance for the interactions between nearest J is studied. We also studied these phenomena by the numerical “replica Monte Carlo method”, taking also into account the interactions between next-nearest neighbors J'.
F. A. Kassan-Ogly et al., "Frustrations and Phase Transitions in Ising Model on 2D Lattices", Solid State Phenomena, Vols. 168-169, pp. 435-438, 2011