Fig. 8: Eigenvalues of total spin in the AK, FK and AΓ phases.
From: Twice hidden string order and competing phases in the spin-1/2 Kitaev–Gamma ladder

The eigenvalues sα = sa,b,c of the total spin Sα = \({\sum }_{i}{S}_{i}^{\alpha }\) in the four degenerate ground-states, in zero field. Results are from ED. a AK-phase at ϕ = −0.08π with N = 14, 18…30 b FK-phase at ϕ = 0.95π with N = 14, 18…30, c AΓ-phase at ϕ = 0.85π with N = 12, 14, …30 (filled symbols).