Extended flat-bands, entanglement and topological properties in a Creutz ladder
Abstract
In this work, we study the entanglement and topological properties of an extended flat-band Creutz ladder by considering a compacted localized state (CLS). Based on the CLS picture, we find a multiple flat-band extension from the conventional two flat-band Creutz ladder. A simple vertical inter-chain coupling leads to a four complete flat-band system and creates an additive -flux pattern on the Creutz ladder. Interestingly, the strong coupling induces a topological phase transition where the distribution of CLSs is modified: upper and lower flat-band CLSs are paired up. This pairing leads to the destruction of the CLS' entanglement and, hence, to a vanishing edge mode (i.e., the breakdown of non-trivial topological phase). Finally, we study the localization dynamics induced by the presence of complete flat bands in this extended flat-band system.
Keywords
Cite
@article{arxiv.2001.10813,
title = {Extended flat-bands, entanglement and topological properties in a Creutz ladder},
author = {Yoshihito Kuno},
journal= {arXiv preprint arXiv:2001.10813},
year = {2020}
}
Comments
9 pages, 4+3 figures, accepted in Phys. Rev. B