Four-band non-Abelian topological insulator and its experimental realization
KAUST Grant NumberCRG
Permanent link to this recordhttp://hdl.handle.net/10754/670134
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AbstractVery recently, increasing attention has been focused on non-Abelian topological charges, e.g. the quaternion group Q8. Different from Abelian topological band insulators, these systems involve multiple tangled bulk bandgaps and support non-trivial edge states that manifest the non-Abelian topological features. Furthermore, a system with even or odd number of bands will exhibit significant difference in non-Abelian topological classifications. Up to now, there is scant research investigating the even-band non-Abelian topological insulators. Here, we both theoretically explored and experimentally realized a four-band PT (inversion and time-reversal) symmetric system, where two new classes of topological charges as well as edge states are comprehensively studied. We illustrate their difference from four-dimensional rotation senses on the stereographically projected Clifford tori. We show the evolution of bulk topology by extending the 1D Hamiltonian onto a 2D plane and provide the accompanying edge state distributions following an analytical method. Our work presents an exhaustive study of four-band non-Abelian topological insulators and paves the way to other even band systems.
CitationJiang, T., Guo, Q., Zhang, R.-Y., Zhang, Z.-Q., Yang, B., & Chan, C. T. (2021). Four-band non-Abelian topological insulator and its experimental realization. doi:10.21203/rs.3.rs-671793/v1
SponsorsThis work is supported by the Hong Kong RGC (AoE/P-02/12, 16310420), the Hong Kong Scholars Program (XJ2019007), the KAUST CRG grant (KAUST20SC01) and the Croucher foundation (CAS20SC01).
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