Topological transitions with an imaginary Aubry-André-Harper potential
We study one-dimensional lattices with imaginary-valued Aubry-André-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non-Hermitian particle-hole symmetry. The edge sta...
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sg-ntu-dr.10356-1696422024-07-10T08:00:12Z Topological transitions with an imaginary Aubry-André-Harper potential Zhu, Bofeng Lang, Li-Jun Wang, Qiang Wang, Qi Jie Chong, Yidong School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Topology Domain Walls We study one-dimensional lattices with imaginary-valued Aubry-André-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non-Hermitian particle-hole symmetry. The edge states arise when the period of the imaginary potential is a multiple of four lattice constants. They are topological in origin, and can manifest on domain walls between lattices with different modulation periods and phases, as predicted by a bulk polarization invariant. Interestingly, the edge states persist and remain localized even if the gap in the real spectrum closes. These features can be used in laser arrays to select topological lasing modes under spatially extended pumping. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) National Research Foundation (NRF) Published version This work was supported by the A*STAR Programmatic Funds No. A18A7b0058, the Singapore MOE Academic Research Fund Tier 3 Grant No.MOE2016-T3-1-006,Tier2 Grant No. MOE2019-T2-2-085,Tier 1 Grant No.RG148/20, and the Singapore National Research Foundation (NRF) Competitive Research Program(CRP),Grants No.NRFCRP18-2017-02 and No.NRF-CRP23-2019-0007; L.-J.L. was supported by the National Natural Science Foundation of China (Grant No.11904109) and the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2019A1515111101). 2023-07-27T08:09:42Z 2023-07-27T08:09:42Z 2023 Journal Article Zhu, B., Lang, L., Wang, Q., Wang, Q. J. & Chong, Y. (2023). Topological transitions with an imaginary Aubry-André-Harper potential. Physical Review Research, 5(2), 023044-. https://dx.doi.org/10.1103/PhysRevResearch.5.023044 2643-1564 https://hdl.handle.net/10356/169642 10.1103/PhysRevResearch.5.023044 2-s2.0-85158874590 2 5 023044 en A18A7b0058 MOE2016-T3-1-006 RG148/20 NRFCRP18-2017-02 NRF-CRP23-2019-0007 Physical Review Research 10.21979/N9/CRS6RA © 2023 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. application/pdf |
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We study one-dimensional lattices with imaginary-valued Aubry-André-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non-Hermitian particle-hole symmetry. The edge states arise when the period of the imaginary potential is a multiple of four lattice constants. They are topological in origin, and can manifest on domain walls between lattices with different modulation periods and phases, as predicted by a bulk polarization invariant. Interestingly, the edge states persist and remain localized even if the gap in the real spectrum closes. These features can be used in laser arrays to select topological lasing modes under spatially extended pumping. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Zhu, Bofeng Lang, Li-Jun Wang, Qiang Wang, Qi Jie Chong, Yidong |
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Article |
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Zhu, Bofeng Lang, Li-Jun Wang, Qiang Wang, Qi Jie Chong, Yidong |
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Zhu, Bofeng |
title |
Topological transitions with an imaginary Aubry-André-Harper potential |
title_short |
Topological transitions with an imaginary Aubry-André-Harper potential |
title_full |
Topological transitions with an imaginary Aubry-André-Harper potential |
title_fullStr |
Topological transitions with an imaginary Aubry-André-Harper potential |
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Topological transitions with an imaginary Aubry-André-Harper potential |
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topological transitions with an imaginary aubry-andré-harper potential |
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2023 |
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https://hdl.handle.net/10356/169642 |
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