TY - JOUR AB - We investigate numerically the three-dimensional three-state Potts models with nearest-neighbor (NN) ferromagnetic coupling and next-nearest-neighbor (NNN) antiferromagnetic coupling of relative strength-gamma on L3 lattices with L = 12, 16, 20, 32, and 40. For all the gamma-values that we studied, 0.0 less-than-or-equal-to gamma less-than-or-equal-to 0.8, we find indications of a first-order phase transition between the ordered and disordered phases. In the neighborhood of gamma = 0.25, the latent heat becomes rather small, making it necessary to use still larger lattices to rule out a higher-order phase transition at gamma = 0.25. We also studied the boundary regimes of the three different ordered phases and find no criticality along them, thus suggesting a lack of criticality in these extended Potts models. DA - 1992 DO - 10.1103/PhysRevB.46.944 LA - eng IS - 2 M2 - 944 PY - 1992 SN - 0163-1829 SP - 944-954 T2 - Physical Review, B TI - Z(3) criticality in three dimensions: study of extended Potts models UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-17845829 Y2 - 2024-12-04T08:18:35 ER -