%0 Journal Article %1 PhysRevB.106.195143 %A Eck, Philipp %A Ortix, Carmine %A Consiglio, Armando %A Erhardt, Jonas %A Bauernfeind, Maximilian %A Moser, Simon %A Claessen, Ralph %A Di Sante, Domenico %A Sangiovanni, Giorgio %D 2022 %I American Physical Society %J Phys. Rev. B %K a %N 19 %P 195143 %R 10.1103/PhysRevB.106.195143 %T Real-space obstruction in quantum spin Hall insulators %U https://link.aps.org/doi/10.1103/PhysRevB.106.195143 %V 106 %X The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to “obstructed” atomic insulators characterized by a mismatch between the centers of the electronic Wannier functions and the ionic positions. We extend this notion to quantum spin Hall insulators in which the ground state cannot be described in terms of time-reversal symmetric localized Wannier functions. A system equivalent to graphene in all its relevant electronic and topological properties except for a real-space obstruction is identified and studied via symmetry analysis as well as with density functional theory. The low-energy model comprises a local spin-orbit coupling and a nonlocal symmetry breaking potential, which turn out to be the essential ingredients for an obstructed quantum spin Hall insulator. An experimental fingerprint of the obstruction is then measured in a large-gap triangular quantum spin Hall material.

@article{PhysRevB.106.195143, abstract = {The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to “obstructed” atomic insulators characterized by a mismatch between the centers of the electronic Wannier functions and the ionic positions. We extend this notion to quantum spin Hall insulators in which the ground state cannot be described in terms of time-reversal symmetric localized Wannier functions. A system equivalent to graphene in all its relevant electronic and topological properties except for a real-space obstruction is identified and studied via symmetry analysis as well as with density functional theory. The low-energy model comprises a local spin-orbit coupling and a nonlocal symmetry breaking potential, which turn out to be the essential ingredients for an obstructed quantum spin Hall insulator. An experimental fingerprint of the obstruction is then measured in a large-gap triangular quantum spin Hall material.}, added-at = {2023-01-12T09:32:07.000+0100}, author = {Eck, Philipp and Ortix, Carmine and Consiglio, Armando and Erhardt, Jonas and Bauernfeind, Maximilian and Moser, Simon and Claessen, Ralph and Di Sante, Domenico and Sangiovanni, Giorgio}, biburl = {https://www.bibsonomy.org/bibtex/248d8a36ec53786984852ba7d2445a9b6/ctqmat}, day = 22, description = {Phys. Rev. B 106, 195143 (2022) - Real-space obstruction in quantum spin Hall insulators}, doi = {10.1103/PhysRevB.106.195143}, interhash = {2b020cca2ae01d33975fe00c600df8e5}, intrahash = {48d8a36ec53786984852ba7d2445a9b6}, journal = {Phys. Rev. B}, keywords = {a}, month = {11}, number = 19, numpages = {15}, pages = 195143, publisher = {American Physical Society}, timestamp = {2023-01-16T14:49:29.000+0100}, title = {Real-space obstruction in quantum spin Hall insulators}, url = {https://link.aps.org/doi/10.1103/PhysRevB.106.195143}, volume = 106, year = 2022 }