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Dual bulk-boundary correspondence in a nonreciprocal spin-orbit coupled zigzag lattice

Lingfang Li1, Chong Hou1, Gangzhou Wu1, Yang Ruan1, Shihua Chen1,2,*, Luqi Yuan3,†, and Zhenhua Ni1,2,‡

  • *Contact author: cshua@seu.edu.cn
  • †Contact author: yuanluqi@sjtu.edu.cn
  • ‡Contact author: zhni@seu.edu.cn

Phys. Rev. B 110, L041103 – Published 1 July, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.L041103

Abstract

We unveil a relevant non-Hermitian symmetry and hence a dual bulk-boundary correspondence (BBC) from a one-dimensional non-Hermitian Rice-Mele model including on-site dissipation, nonreciprocity, and spin-orbit coupling. To expose this dual BBC, we present the closed-form solutions for spin-up and spin-down edge modes and two explicit topological winding numbers, which are linked to each other to a perfect degree. We also demonstrate the topological zero modes and their strong insensitivity to disorder in the presence of spin-orbit coupling. We anticipate that this dual BBC may offer another route for manipulating spin currents and trigger the research for dual topological insulators in a single zigzag lattice.

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