Table 2 Quantized Berry phase differences for the generalized Kitaev models

From: Quantized polarization and Majorana fermions beyond tenfold classification

 

Total

Subblock 1

Subblock 2

Kitaev

Ï€

NA

NA

DK

0

Ï€

−π

CSW

0

0.94Ï€

−0.94π

CI

0

Ï€

−π

C

0

Ï€

−π

\(\widetilde{{{{{{{\rm{C}}}}}}}}\)

0

Ï€

−π

  1. All cases, except for the Kitaev model, exhibit a total Berry phase difference of zero. On the other hand, with the exception of the constant s-wave (CSW) case, the quantization of Berry phases is observed within their respective subblock for double Kitaev (DK), CI, C, and \(\widetilde{{{{{{{\rm{C}}}}}}}}\) cases. Consequently, these cases adhere to a extended bulk-boundary correspondence. Detailed Berry curvature distributions can be found in Figs. 5d–f, S6d, g, and S7c for DK, CSW, CI, C, \(\widetilde{{{{{{{\rm{C}}}}}}}}\), and Kitaev systems, respectively.
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