Higher-order topological insulators in a magnetic field
Two-dimensional (2D) generalization of the Su-Schriffer-Heeger (SSH) model serves as a platform for exploring higher-order topological insulators (HOTI). We investigate this model in a magnetic field which interpolates two models studied so far with zero flux and π flux per plaquette. We show that i...
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| Veröffentlicht in: | Physical review. B 2019-12, Vol.100 (24), p.1, Article 245108 |
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| creator | Otaki, Yuria Fukui, Takahiro |
| description | Two-dimensional (2D) generalization of the Su-Schriffer-Heeger (SSH) model serves as a platform for exploring higher-order topological insulators (HOTI). We investigate this model in a magnetic field which interpolates two models studied so far with zero flux and π flux per plaquette. We show that in the Hofstadter butterfly there appears a wide gap around the π flux, which belongs to the same HOTI discovered by Benalcazar-Bernevig-Hughes (BBH). It turns out that in a weak field regime HOTI could exist even within a small gap disconnected from the wider gap around π flux. To characterize HOTI, we employ the entanglement polarization (eP) technique which is useful even if the basic four bands split into many Landau levels under a magnetic field. |
| doi_str_mv | 10.1103/PhysRevB.100.245108 |
| format | Article |
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| subjects | Entanglement Flux Magnetic fields Topological insulators Topology Two dimensional models |
| title | Higher-order topological insulators in a magnetic field |
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