Zeynioglu, Deniz IpekBerker, A. Nihat2025-11-152025-11-1520250378-43711873-2119https://doi.org/10.1016/j.physa.2025.131049https://hdl.handle.net/20.500.12469/7582The tripled Ashkin-Teller model including 6-point interactions is solved in d = 2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently first/second-order-transition improved Migdal-Kadanoff procedure. Five different ordered phases occur in the dimensionally distinct global phase diagrams. 16 different phase diagram cross-sections in the 2-point and 4-point interaction space are obtained, with first-and second-order phase transitions, multiple tricritical points and critical endpoints.eninfo:eu-repo/semantics/closedAccessTripled Ashkin-Teller Spin Model In D=2 And 3Global Phase Diagrams5 Different Ordered PhasesHigh Degeneracies, Ground-State EntropiesTricritical Points And Critical EndpointsHierarchical LatticesArticle10.1016/j.physa.2025.1310492-s2.0-105018855729