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We investigate the existence of topological interface states between two periodic comb-like mesoscopic crystals with different topological properties based on the Su-Schrieffer-Heeger (SSH) model. This model enables us to predict the existence of topological interface states between two connected mesoscopic crystals based on Dirac point (closing and reopening of the gaps). These states are characterized by their robustness to any external perturbations or a disorder in the system. First, we discuss the existence of topological interface states based on the analyses of the symmetry of the band-edge states and the Zak phase of each band in the infinite mesoscopic crystal. This approach is equivalent to an analysis of the sign of the reflection phase in two gaps surrounding a bulk band. Multiple topological states are successfully realized at the interface when two conditions are satisfied, namely: (i) the two systems share common gaps; (ii) the symmetry of the band-edge states are opposite. The interface states can be obtained as peaks in the local density of states (LDOS) as well as in the transmission spectra of two connected mesoscopic crystals. The proposed MC may have several applications in scientific fields ranging from quantum information science and filters.

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Topological Interface States in a One-Dimensional Mesoscopic Crystal Using Su-Schrieffer-Heeger Model

  • 会议论文

  • 发表日期：

    2025年

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  • Noura Ezzahni,
  • Mohammed Elaouni,
  • Soufyane Khattou,
  • Madiha Amrani,
  • Mohamed El Ghafiani,
  • Yamina Rezzouk,
  • El Houssaine El Boudouti,
  • Bahram Djafari-Rouhani

摘要

We investigate the existence of topological interface states between two periodic comb-like mesoscopic crystals with different topological properties based on the Su-Schrieffer-Heeger (SSH) model. This model enables us to predict the existence of topological interface states between two connected mesoscopic crystals based on Dirac point (closing and reopening of the gaps). These states are characterized by their robustness to any external perturbations or a disorder in the system. First, we discuss the existence of topological interface states based on the analyses of the symmetry of the band-edge states and the Zak phase of each band in the infinite mesoscopic crystal. This approach is equivalent to an analysis of the sign of the reflection phase in two gaps surrounding a bulk band. Multiple topological states are successfully realized at the interface when two conditions are satisfied, namely: (i) the two systems share common gaps; (ii) the symmetry of the band-edge states are opposite. The interface states can be obtained as peaks in the local density of states (LDOS) as well as in the transmission spectra of two connected mesoscopic crystals. The proposed MC may have several applications in scientific fields ranging from quantum information science and filters.