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arXiv · 2001.10813

Extended flat-bands, entanglement and topological properties in a Creutz ladder

Yoshihito Kuno
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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 $\pi$-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.

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Yoshihito Kuno. 2020-01-29. Extended flat-bands, entanglement and topological properties in a Creutz ladder. https://doi.org/10.1103/physrevb.101.184112

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