Second-Order Topological Phases in Non-Hermitian Systems
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...
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| Published in | Physical review letters Vol. 122; no. 7; p. 076801 |
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| Main Authors | , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
22.02.2019
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| Online Access | Get more information |
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| Abstract | 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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| AbstractList | 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. |
| Author | Nori, Franco Ai, Qing Ueda, Masahito Zhang, Yu-Ran Kawabata, Kohei Liu, Tao Gong, Zongping |
| Author_xml | – sequence: 1 givenname: Tao surname: Liu fullname: Liu, Tao organization: Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan – sequence: 2 givenname: Yu-Ran surname: Zhang fullname: Zhang, Yu-Ran organization: Beijing Computational Science Research Center, Beijing 100193, China – sequence: 3 givenname: Qing surname: Ai fullname: Ai, Qing organization: Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China – sequence: 4 givenname: Zongping surname: Gong fullname: Gong, Zongping organization: Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan – sequence: 5 givenname: Kohei surname: Kawabata fullname: Kawabata, Kohei organization: Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan – sequence: 6 givenname: Masahito surname: Ueda fullname: Ueda, Masahito organization: RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan – sequence: 7 givenname: Franco surname: Nori fullname: Nori, Franco organization: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/30848648$$D View this record in MEDLINE/PubMed |
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| Snippet | A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D... |
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