Impact of impurities on the topological boundaries and edge state localization in a staggered chain of atoms: SSH model and its topoelectrical circuit realization (13 pages)

J.C. Pérez-Pedraza ^[1] ; J.E. Barrios-Vargas ^[2] ; A. Raya ^[1]
1. [1] Universidad Michoacana de San Nicolás de Hidalgo
  
  Universidad Michoacana de San Nicolás de Hidalgo
  
  México
2. [2] Universidad Nacional Autónoma de México
  
  Universidad Nacional Autónoma de México
  
  México
Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 70, Nº. 4, 2024
Idioma: inglés
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Resumen
- We study the Su-Schrieffer-Hegger model, perhaps the simplest realization of a topological insulator, in the presence of an embedded impurity superlattice. We consider the impact of the said impurity by changing the hopping amplitudes between them and their nearest neighbors in the topological boundaries and the edge state localization in the chain of atoms. Within a tight-binding approach and through a topolectrical circuit simulation, we consider three different impurity-hopping amplitudes. We found a relaxation of the condition between hopping parameters for the topologically trivial and non-trivial phase boundary and a more profound edge state localization given by the impurity position within the supercell.