Artun, E. CanBerker, A. Nihat2023-10-192023-10-19202112470-00452470-0053https://doi.org/10.1103/PhysRevE.104.044131https://hdl.handle.net/20.500.12469/5072All higher-spin (s >= 1/2) Ising spin glasses are studied by renormalization-group theory in spatial dimension d = 3, exactly on a d = 3 hierarchical model and, simultaneously, by the Migdal-Kadanoff approximation on the cubic lattice. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It is found that, in d = 3, a finite-temperature spin-glass phase occurs for all spin values, including the continuum limit of s -> infinity. The phase diagrams, with increasing spin s, saturate to a limit value. The spin-glass phase, for all s, exhibits chaotic behavior under rescalings, with the calculated Lyapunov exponent of lambda = 1.93 and runaway exponent of y(R) = 0.24, showing simultaneous strong-chaos and strong-coupling behavior. The ferromagnetic-spin-glass and spin-glass-antiferromagnetic phase transitions occurring, along their whole length, respectively at p(t) = 0.37 and 0.63 are unaffected by s, confirming the percolative nature of this phase transition.eninfo:eu-repo/semantics/openAccessLower Critical DimensionHigh-Temperature SeriesRenormalization-GroupHierarchical LatticesConfluent SingularitiesSystemsTransitionsSusceptibilityExpansions1st-OrderLower Critical DimensionHigh-Temperature SeriesRenormalization-GroupHierarchical LatticesConfluent SingularitiesSystemsTransitionsSusceptibilityExpansions1st-OrderArticle4104WOS:00071102590000310.1103/PhysRevE.104.0441312-s2.0-85117719130Q1Q134781492