Journal
PHYSICAL REVIEW B
Volume 104, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.235428
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The topological invariants of one-dimensional inversion-symmetric insulators crucially depend on orbital embedding, with the position of orbitals within a unit cell playing a key role in determining the Z2 topological invariant θ. This study highlights how different orbital embedding configurations can lead to distinct topological phases in band insulators.
The topological invariants of band insulators are usually assumed to depend only on the connectivity between orbitals and not on their intracell position (orbital embedding), which is a separate piece of information in the tight-binding description. For example, in two dimensions, the orbital embedding is known to change the Berry curvature but not the Chern number. Here, we consider one-dimensional inversion-symmetric insulators classified by a Z2 topological invariant & thetasym; = 0 or pi, related to the Zak phase, and show that & thetasym; crucially depends on orbital embedding. We study three two-band models with bond, site, or mixed inversion: the Su-SchriefferHeeger 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 & thetasym; = 0 (resp. pi). However, the Shockley model features a topological phase transition between & thetasym; = 0 and pi. The key difference is whether the two orbitals per unit cell are at the same or different positions.
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