Spin-glass phases and multichaos in the Ashkin–Teller model

Alican Saray and A. Nihat Berker

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: The 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.

Keywords: Ashkin–Teller spin-glass in d=3; Renormalization-group theory; Chaotic renormalization-group trajectories; Qualitatively different phase diagram topologies; Two different chaotic spin-glasses, Lyapunov exponents; Entropic ferromagnetism and antiferromagnetism (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014717

DOI: 10.1016/j.chaos.2025.117458

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