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• W3208068968 abstract "The topological invariants of band insulators are usually assumed to depend only on the connectivity between orbitals and not on their intra-cell position (orbital embedding), which are a separate piece of information in the tight-binding description. For example, in two dimensions (2D), the orbital embedding is known to change the Berry curvature but not the Chern number. Here, we consider 1D inversion-symmetric insulators classified by a $mathbb{Z}_2$ topological invariant $vartheta=0$ or $pi$, related to the Zak phase, and show that $vartheta$ crucially depends on orbital embedding. We study three two-band models with bond, site or mixed inversion: the Su-Schrieffer-Heeger model (SSH), the charge density wave model (CDW) and the Shockley model. The SSH (resp. CDW) model is found to have a unique phase with $vartheta=0$ (resp. $pi$). However, the Shockley model features a topological phase transition between $vartheta=0$ and $pi$. The key difference is whether the two orbitals per unit cell are at the same or different positions." @default.
• W3208068968 created "2021-11-08" @default.
• W3208068968 creator A5032495228 @default.
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• W3208068968 date "2021-06-07" @default.
• W3208068968 modified "2023-10-18" @default.
• W3208068968 title "Orbital embedding and topology of one-dimensional band insulators." @default.
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