Topological two-body bound states in the interacting Haldane model

TL;DR

This paper investigates how two-body bound states in an interacting Haldane model exhibit topological phases with unique edge state properties, influenced by interaction strength and internal structure, relevant for ultracold atom experiments.

Contribution

It reveals the topological phases of two-body bound states and how interactions modify phase boundaries and edge state chirality in the Haldane model.

Findings

Identification of topological phases with same or opposite chirality of edge states

Interaction-dependent deformation of phase boundaries

Relevance for ultracold atom experimental realizations

Abstract

We study the topological properties of the two-body bound states in an interacting Haldane model as a function of interparticle interactions. In particular, we identify topological phases where the two-body edge states have either the same or the opposite chirality as compared to single-particle edge states. We highlight that in the moderately interacting regime, which is relevant for the experimental realization with ultracold atoms, the topological transition is affected by the internal structure of the bound state, and the phase boundaries are consequently deformed.