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

Authors

  • Leonardo Antonio Navarro Labastida Instituto de Física, UNAM
  • F. A. Dom´ınguez-Serna CICESE
  • F. Rojas CNyN-UNAM

DOI:

https://doi.org/10.31349/RevMexFis.68.031404

Keywords:

Atoms-cell, topological phase transitions, maximal entangled

Abstract

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.

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Published

2022-05-01

How to Cite

Navarro Labastida, Leonardo Antonio, F. A. Dom´ınguez-Serna, and F. Rojas. 2022. “Topological Phases and Entanglement in Real Space for 1D SSH Topological Insulator: Effects of First and Second Neighbor-Hoppings”. Revista Mexicana De Física 68 (3 May-Jun):031404 1-0. https://doi.org/10.31349/RevMexFis.68.031404.

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14 Other areas in Physics