Edwards-Anderson order parameter 2026-10-18
The Edwards-Anderson order parameter measures squared local spin magnetization within a selected equilibrium state . Squaring prevents opposite local orientations from cancelling. The state selection and limits matter: the full finite, zero-field canonical ensemble has by spin inversion symmetry, so substituting that average would miss broken-state order.[ref]
50 years of spin glass theory by David Sherrington and Scott Kirkpatrick. p. 1, replica and squared-local-moment order parameter; finite-system state selection is distinguished explicitly here