Topological inheritance in half-SSH Hubbard models

TL;DR

This paper demonstrates how interparticle interactions in a one-dimensional Hubbard model can induce topological features in a trivial component, revealing a novel form of topological inheritance driven by weak interactions.

Contribution

It introduces the concept of topological inheritance in a two-component Hubbard model, showing that interactions can induce topological properties without pairing at weak interaction strengths.

Findings

Topological properties are induced in a trivial component via inter-component interactions.

Full topological inheritance occurs at weak interactions, before pairing takes place.

Bulk, edge, and dynamical properties confirm the inheritance phenomenon.

Abstract

The interplay between interparticle interactions and topological features may result in unusual phenomena. Interestingly, interactions may induce topological features in an originally trivial system, as we illustrate for the case of a one-dimensional two-component Hubbard model in which one component is subjected to Su-Schrieffer-Heeger(SSH) dimerization, whereas the other one is not. We show that due to inter-component interactions the topological properties of one component are induced in the originally trivial one. Although for large interactions topological inheritance may be readily explained by on-site pairing, we show that the threshold for full inheritance occurs at weak interactions, for which the components are not yet paired. We illustrate this inheritance by discussing both bulk and edge properties, as well as dynamical observables as mean chiral displacement and charge pumping.