The Benalcazar-Bernevig-Hughes (BBH) quadrupole insulator model is a cornerstone model for higher-order topological phases. It requires π-flux threading through each plaquette of the two-dimensional Su-Schrieffer-Heeger model. Recent studies showed that particular π-flux patterns can modify the fundamental domain of momentum space from the shape of a torus to a Klein bottle with emerging topological phases. By designing different π-flux patterns, we propose two types of Klein-bottle BBH models. These models show rich topological phases, including Klein-bottle quadrupole insulators and Dirac semimetals. The phase with nontrivial Klein-bottle topology shows twined edge modes at open boundaries. These edge modes can further support second-order topology, yielding a quadrupole insulator. Remarkably, both models are robust against flux perturbations. Moreover, we show that different π-flux patterns dramatically affect the phase diagram of the Klein-bottle BBH models. Going beyond the original BBH model, Dirac semimetal phases emerge in Klein-bottle BBH models featured by the coexistence of twined edge modes and bulk Dirac points.
%0 Journal Article
%1 PhysRevB.108.235412
%A Li, Chang-An
%A Sun, Junsong
%A Zhang, Song-Bo
%A Guo, Huaiming
%A Trauzettel, Björn
%D 2023
%I American Physical Society
%J Phys. Rev. B
%K a
%N 23
%P 235412
%R 10.1103/PhysRevB.108.235412
%T Klein-bottle quadrupole insulators and Dirac semimetals
%U https://link.aps.org/doi/10.1103/PhysRevB.108.235412
%V 108
%X The Benalcazar-Bernevig-Hughes (BBH) quadrupole insulator model is a cornerstone model for higher-order topological phases. It requires π-flux threading through each plaquette of the two-dimensional Su-Schrieffer-Heeger model. Recent studies showed that particular π-flux patterns can modify the fundamental domain of momentum space from the shape of a torus to a Klein bottle with emerging topological phases. By designing different π-flux patterns, we propose two types of Klein-bottle BBH models. These models show rich topological phases, including Klein-bottle quadrupole insulators and Dirac semimetals. The phase with nontrivial Klein-bottle topology shows twined edge modes at open boundaries. These edge modes can further support second-order topology, yielding a quadrupole insulator. Remarkably, both models are robust against flux perturbations. Moreover, we show that different π-flux patterns dramatically affect the phase diagram of the Klein-bottle BBH models. Going beyond the original BBH model, Dirac semimetal phases emerge in Klein-bottle BBH models featured by the coexistence of twined edge modes and bulk Dirac points.
@article{PhysRevB.108.235412,
abstract = {The Benalcazar-Bernevig-Hughes (BBH) quadrupole insulator model is a cornerstone model for higher-order topological phases. It requires π-flux threading through each plaquette of the two-dimensional Su-Schrieffer-Heeger model. Recent studies showed that particular π-flux patterns can modify the fundamental domain of momentum space from the shape of a torus to a Klein bottle with emerging topological phases. By designing different π-flux patterns, we propose two types of Klein-bottle BBH models. These models show rich topological phases, including Klein-bottle quadrupole insulators and Dirac semimetals. The phase with nontrivial Klein-bottle topology shows twined edge modes at open boundaries. These edge modes can further support second-order topology, yielding a quadrupole insulator. Remarkably, both models are robust against flux perturbations. Moreover, we show that different π-flux patterns dramatically affect the phase diagram of the Klein-bottle BBH models. Going beyond the original BBH model, Dirac semimetal phases emerge in Klein-bottle BBH models featured by the coexistence of twined edge modes and bulk Dirac points.},
added-at = {2024-02-05T17:11:08.000+0100},
author = {Li, Chang-An and Sun, Junsong and Zhang, Song-Bo and Guo, Huaiming and Trauzettel, Bj\"orn},
biburl = {https://www.bibsonomy.org/bibtex/26030b52b89ae1e9eee8093dd634a1093/ctqmat},
day = 08,
doi = {10.1103/PhysRevB.108.235412},
interhash = {0ca62c58abddf9b4df60d0595c4f0a8f},
intrahash = {6030b52b89ae1e9eee8093dd634a1093},
journal = {Phys. Rev. B},
keywords = {a},
month = {12},
number = 23,
numpages = {11},
pages = 235412,
publisher = {American Physical Society},
timestamp = {2024-02-05T17:11:08.000+0100},
title = {Klein-bottle quadrupole insulators and Dirac semimetals},
url = {https://link.aps.org/doi/10.1103/PhysRevB.108.235412},
volume = 108,
year = 2023
}