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- W4367294588 abstract "We define a $mathbb{Z}_2$-valued topological and gauge invariant associated to any 1-dimensional, translation-invariant topological insulator which satisfies either particle-hole symmetry or chiral symmetry. The invariant can be computed from the Berry phase associated to a suitable basis of Bloch functions which is compatible with the symmetries. We compute the invariant in the Su-Schrieffer-Heeger model for chiral symmetric insulators, and in the Kitaev model for particle-hole symmetric insulators. We show that in both cases the $mathbb{Z}_2$ invariant predicts the existence of zero-energy boundary states for the corresponding truncated models." @default.
- W4367294588 created "2023-04-29" @default.
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- W4367294588 date "2023-04-01" @default.
- W4367294588 modified "2023-10-15" @default.
- W4367294588 title "A Z2 invariant for chiral and particle–hole symmetric topological chains" @default.
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- W4367294588 doi "https://doi.org/10.1063/5.0138647" @default.
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