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DOI10.1016/j.scib.2021.04.006
Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces
Li L.; Zhu W.; Gong J.
发表日期2021
ISSN20959273
起始页码1502
结束页码1510
卷号66期号:15
英文摘要Higher-order topological phases (HOTPs) are systems with topologically protected in-gap boundary states localized at their (d-n)-dimensional boundaries, with d the system dimension and n the order of the topology. This work proposes a dynamics-based characterization of one large class of Z-type HOTPs without specifically relying on any crystalline symmetry considerations. The key element of our innovative approach is to connect quantum quench dynamics with nested configurations of the so-called band inversion surfaces (BISs) of momentum-space Hamiltonians as a sum of operators from the Clifford algebra (a condition that can be partially relaxed), thereby making it possible to dynamically detect each and every order of topology on an equal footing. Given that experiments on synthetic topological matter can directly measure the winding of certain pseudospin texture to determine topological features of BISs, the topological invariants defined through nested BISs are all within reach of ongoing experiments. Further, the necessity of having nested BISs in defining higher-order topology offers a unique perspective to investigate and engineer higher-order topological phase transitions. © 2021 Science China Press
关键词Band inversion surfaceDimension reductionHigher-order topologyQuench dynamicsTopological quantum phases
英文关键词Algebra; Dynamics; Hamiltonians; Textures; Band inversion; Band inversion surface; Dimension reduction; Dynamical characterization; High-order; High-order topology; Higher-order; Quench dynamic; Topological phase; Topological quantum phase; Topology
语种英语
来源期刊Science Bulletin
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/207465
作者单位Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-sen University (Zhuhai Campus), Zhuhai, 519082, China; Department of Physics, National University of Singapore, Singapore, 117542, Singapore
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Li L.,Zhu W.,Gong J.. Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces[J],2021,66(15).
APA Li L.,Zhu W.,&Gong J..(2021).Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces.Science Bulletin,66(15).
MLA Li L.,et al."Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces".Science Bulletin 66.15(2021).
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