Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains

Autor:	Chatterjee, Sauvik, Biswas, Sougata, Chakrabarti, and Arunava
Rok vydání:	2023
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	International Journal of Modern Physics B, 2550097 , 2024
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217979225500973
Popis:	Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription, based on a real space decimation scheme, that extracts the energy eigenvalues corresponding to the flat bands along with their degeneracy. The topological phase transition is confirmed through the existence of quantized Zak phase for all the Bloch bands, and the edge states that are protected by chiral symmetry, consistent with the bulk-boundary correspondence. In addition to the edge states, the entangled systems are shown to give rise to clusters of localized eigenstates in the bulk of the system, in contrast to a purely one dimensional SSH system. Comment: Accepted for publication in International Journal of Modern Physics B
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.00904 Zobrazit plný text záznamu View this record from Arxiv