Thouless Pumps and Bulk-Boundary Correspondence in Higher-Order Symmetry-Protected Topological Phases.

@article{Wienand2022ThoulessPA,
  title={Thouless Pumps and Bulk-Boundary Correspondence in Higher-Order Symmetry-Protected Topological Phases.},
  author={Julian F Wienand and Friederike von Horn and Monika Aidelsburger and Julian Bibo and Fabian Grusdt},
  journal={Physical review letters},
  year={2022},
  volume={128 24},
  pages={
          246602
        }
}
The bulk-boundary correspondence relates quantized edge states to bulk topological invariants in topological phases of matter. In one-dimensional symmetry-protected topological systems, quantized topological Thouless pumps directly reveal this principle and provide a sound mathematical foundation. Symmetry-protected higher-order topological phases of matter (HOSPTs) also feature a bulk-boundary correspondence, but its connection to quantized charge transport remains elusive. Here, we show that… 

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