Table 1 Summary of projective analysis.

From: Twice hidden string order and competing phases in the spin-1/2 Kitaev–Gamma ladder

Phase

\({{{{\mathcal{O}}}}}_{{{{\rm{TR}}}}}^{{{{\rm{regular}}}}}\)

\({{{{\mathcal{O}}}}}_{{{{{\rm{{Z}}}_{2}\times Z}}}_{{{{\rm{2}}}}}}^{{{{\rm{regular}}}}}\)

\({{{{\mathcal{O}}}}}_{{{{\rm{TR}}}}}^{{{{\rm{slanted}}}}}\)

\({{{{\mathcal{O}}}}}_{{{{{\rm{{Z}}}_{2}\times Z}}}_{{{{\rm{2}}}}}}^{{{{\rm{slanted}}}}}\)

SPTα

1

1

−1

−1

SPTβ

1

1

−1

−1

AΓ

−1

−1

1

1

FK

1

1

−1

−1

  1. The superscript regular refers to the unit cell from Fig. 4a, while the superscript slanted refers to the unit cell from Fig. 4b. Negative values indicate that the state transforms non-trivially.
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