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This study explores 1D topological states in Su-Schrieffer-Heeger (SSH) chains coupled with 2D electrodes. Real 2D substrates significantly alter topological states, causing asymmetry and localization, unlike ideal electrodes.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Chemistry

Background:

  • 1D topological states exhibit unique electronic properties.
  • Su-Schrieffer-Heeger (SSH) models describe topological phenomena in 1D systems.
  • The influence of realistic 2D substrates on these states is not fully understood.

Purpose of the Study:

  • To investigate mid-gap 1D topological states in SSH chains coupled with 2D hybrid structures.
  • To analyze the electronic properties and spectral density of these coupled systems.
  • To understand how 2D substrates modify topological states compared to ideal electrodes.

Main Methods:

  • Utilizing the tight-binding Hamiltonian formalism.
  • Employing the Green's function technique for electronic structure calculations.
  • Analyzing density of states (DOS) and local DOS of SSH chains on 2D substrates.

Main Results:

  • 2D substrates induce significant asymmetry in on-site energies and local DOS of topological states.
  • Surface singularities cause splitting, localization, and dispersionless behavior of SSH topological states.
  • Topological edge states appear at different energies for zig-zag and armchair configurations due to spatial asymmetry.

Conclusions:

  • Realistic 2D hybrid structures profoundly impact 1D topological states, leading to novel phenomena.
  • These effects are distinct from those observed with ideal wide-band electrodes.
  • The findings highlight the importance of substrate interactions in designing topological electronic devices.