  The hybrid atoms-cell site entanglement in a one-dimensional
Su-Schrieffer-Heeger (SSH) topological insulator with first and second neighbor
hopping interaction in space representation of finite chains is analyzed. The
geometric 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 critical points of maximal entangled (ME) states in the
singularities of the geometrical phase. States with second-neighbors have
higher entanglement than first-order hopping. The general conditions to produce
ME hybrid Bell states and the localization-entanglement relation are given.

Quantum Physics;Mesoscale and Nanoscale Physics