Topological invariants to characterize universality of boundary charge in one-dimensional insulators beyond symmetry constraints

  title={Topological invariants to characterize universality of boundary charge in one-dimensional insulators beyond symmetry constraints},
  author={Mikhail Pletyukhov and Dante M. Kennes and Jelena Klinovaja and Daniel Loss and Herbert Schoeller},
  journal={Physical Review B},
In the absence of any symmetry constraints we address universal properties of the boundary charge ${Q}_{B}$ for a wide class of nearest-neighbor tight-binding models in one dimension with one orbital per site but generic modulations of on-site potentials and hoppings. We provide a precise formulation of the bulk-boundary correspondence relating the boundary charge of a single band uniquely to the Zak phase evaluated in a particular gauge. We reveal the topological nature of ${Q}_{B}$ by proving… 

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