Topological phases and entanglement in real space for 1D SSH topological insulator: effects of first and second neighbor-hoppings

L.A. Navarro-Labastida ^[1] ; F.A. Domínguez-Serna ^[2] ; F. Rojas ^[1]
1. [1] Universidad Nacional Autónoma de México
  
  Universidad Nacional Autónoma de México
  
  México
2. [2] Center for Scientific Research and Higher Education at Ensenada
  
  Center for Scientific Research and Higher Education at Ensenada
  
  México
Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 68, Nº. 3, 2022, págs. 511-518
Idioma: inglés
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Resumen
- The hybrid atoms-cell site entanglement in a one-dimensional Su-Schrieffer-Heeger (SSH) topological insulator with first and second neighbor hopping in space representation of finite chains is analyzed. The geometrical phase is calculated by the Resta electric polarization and the entanglement in the atomic basis by the Schmidt number. A relation between entanglement and the topological phase transitions (TPT) is given since the Schmidt number has local critical points of maximal entangled (ME) states in the singularities of the geometrical phase. States with second-neighbors have higher entanglement than first-neighbors hopping. The general conditions to produce ME hybrid Bell states and the localization-entanglement relation are given.