期刊
PHYSICAL REVIEW LETTERS
卷 122, 期 7, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.076801
关键词
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资金
- JSPS Postdoctoral Fellowship [P18023]
- China Postdoctoral Science Foundation [2018M640055]
- MEXT
- JSPS through the Program for Leading Graduate Schools (ALPS)
- KAKENHI from JSPS [JP18H01145, JP15H05855]
- MURI Center for Dynamic Magneto-Optics via the Air Force Office of Scientific Research (AFOSR) [FA9550-14-1-0040]
- Army Research Office (ARO) [W911NF-18-1-0358]
- Asian Office of Aerospace Research and Development (AOARD) [FA2386-18-1-4045]
- JSPS (JSPS-RFBR) [17-52-50023]
- JSPS (JSPS-FWO) [VS.059.18N]
- RIKEN-AIST Challenge Research Fund
- John Templeton Foundation
- Japan Science and Technology Agency (JST) (ImPACT program)
- Japan Science and Technology Agency (JST) (CREST Grant) [JPMJCR1676]
- Japan Science and Technology Agency (JST) (Q-LEAP program)
A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d - 2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to the Hermitian case, these zero-energy modes can be localized only at one corner. A 3D non-Hermitian SOTI is shown to support second-order boundary modes, which are localized not along hinges but anomalously at a corner. The usual bulk-corner (hinge) correspondence in the second-order 2D (3D) non-Hermitian system breaks down. The winding number (Chern number) based on complex wave vectors is used to characterize the second-order topological phases in 2D (3D). A possible experimental situation with ultracold atoms is also discussed. Our work lays the cornerstone for exploring higher-order topological phenomena in non-Hermitian systems.
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