Saray, AlicanBerker, A. Nihat2025-11-152025-11-1520260960-07791873-2887https://doi.org/10.1016/j.chaos.2025.117458https://hdl.handle.net/20.500.12469/7580The global phase diagram of the Ashkin-Teller spin glass is calculated in d = 3 spatial dimensions by renormalization-group theory. Depending on the value of the positive or negative four-spin interaction, qualitatively different topologies are found for the spin-glass phase diagram in the usual variables of temperature and fraction of antiferromagnetic nearest-neighbor interactions. Two different spin-glass phases occur. Both spin-glass phases are chaotic. One spin-glass exhibits phase reentrance that is reverse from the reentrances seen in previous spin-glass phase diagrams. Seven different phases: Ferromagnetic and antiferromagnetic, entropic ferromagnetic and entropic antiferromagnetic, spin-glass and entropic spin-glass, and disordered phases occur. The entropic ferromagnetic phase unusually but understandably occurs at temperatures above one spin-glass phase. A random disorder line is identified and no phase transition occurs on this line. Our calculation is exact on the d = 3 hierarchical lattice and Migdal-Kadanoff approximate on the cubic lattice.eninfo:eu-repo/semantics/closedAccessAshkin-Teller Spin-Glass In D=3Renormalization-Group TheoryChaotic Renormalization-Group TrajectoriesQualitatively Different Phase Diagram TopologiesTwo Different Chaotic Spin-Glasses, Lyapunov ExponentsEntropic Ferromagnetism And AntiferromagnetismArticle10.1016/j.chaos.2025.117458