%0 Journal Article %1 noauthororeditor %A Urwyler, D. M. %A Lenggenhager, P. M. %A Boettcher, I. %A Thomale, R. %A Neupert, T. %A Bzdušek, T. %D 2022 %J Phys. Rev. Lett. %K a %N 24 %P 246402 %R 0.1103/PhysRevLett.129.246402 %T Hyperbolic topological band insulators %U https://link.aps.org/doi/10.1103/PhysRevLett.129.246402 %V 129 %X Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-) dimensional momentum space. To explore the uncharted topological aspects arising in hyperbolic band theory, we here introduce elementary models of hyperbolic topological band insulators: the hyperbolic Haldane model and the hyperbolic Kane-Mele model; both obtained by replacing the hexagonal cells of their Euclidean counterparts by octagons. Their nontrivial topology is revealed by computing topological invariants in both position and momentum space. The bulk-boundary correspondence is evidenced by comparing bulk and boundary density of states, by modeling propagation of edge excitations, and by their robustness against disorder.

@article{noauthororeditor, abstract = {Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-) dimensional momentum space. To explore the uncharted topological aspects arising in hyperbolic band theory, we here introduce elementary models of hyperbolic topological band insulators: the hyperbolic Haldane model and the hyperbolic Kane-Mele model; both obtained by replacing the hexagonal cells of their Euclidean counterparts by octagons. Their nontrivial topology is revealed by computing topological invariants in both position and momentum space. The bulk-boundary correspondence is evidenced by comparing bulk and boundary density of states, by modeling propagation of edge excitations, and by their robustness against disorder.}, added-at = {2023-07-03T11:52:42.000+0200}, author = {Urwyler, D. M. and Lenggenhager, P. M. and Boettcher, I. and Thomale, R. and Neupert, T. and Bzdušek, T.}, biburl = {https://www.bibsonomy.org/bibtex/2cdeeafeebe9c308583a68c29fabe1e38/ctqmat}, day = 08, description = {Hyperbolic Topological Band Insulators}, doi = {0.1103/PhysRevLett.129.246402}, interhash = {467811ad41441f4d3a74d8c11e79d36b}, intrahash = {cdeeafeebe9c308583a68c29fabe1e38}, journal = {Phys. Rev. Lett. }, keywords = {a}, month = {12}, number = 24, pages = 246402, timestamp = {2023-10-13T15:35:53.000+0200}, title = {Hyperbolic topological band insulators}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.129.246402}, volume = 129, year = 2022 }