Publication: Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
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Nelson, A., Neupert, T., Alexandradinata, A., & Bzdušek, T. (2022). Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond. Physical Review B, 106, 075124. https://doi.org/10.1103/physrevb.106.075124
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Pontrjagin's seminal topological classification of two-band Hamiltonians in three momentum dimensions is hereby enriched with the inclusion of crystallographic rotational symmetry. The enrichment is attributed to a new topological invariant which quantifies a 2π-quantized change in the Berry-Zak phase between a pair of rotation-invariant lines in the bulk, three-dimensional Brillouin zone; because this change is reversed on the complementary section of the Brillouin zone, we refer to this new invariant as a returning Thouless pump (RT
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- Nelson, Aleksandra
- Alexandradinata, A
- Bzdušek, Tomáš
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Nelson, A., Neupert, T., Alexandradinata, A., & Bzdušek, T. (2022). Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond. Physical Review B, 106, 075124. https://doi.org/10.1103/physrevb.106.075124
