Few-body bound states in other correlated-hopping and anyonic models

Investigate whether few-body bound states exist in other correlated-hopping models, kinetically constrained models, and exotic one-dimensional anyonic models, including the traid-anyon-Hubbard model.

Background

The paper develops a configuration-space approach for identifying few-body bound states and applies it to the anyon-Hubbard model. The authors propose extending these methods beyond the model studied in detail.

The suggested targets include other correlated-hopping models, kinetically constrained models, and the traid-anyon-Hubbard model, which describes a lattice realization of traid anyons. The existence and properties of few-body bound states in these systems remain unresolved in the paper.

References

In turn, it will be interesting to employ the approaches developed in this work to explore the existence of few-body bound states in other correlated hopping models, kinetically constrained models, or, in particular, in other exotic 1D anyonic models, such as the recently proposed traid-anyon-Hubbard model describing a discrete lattice version of traid anyons, which are intrinsic to 1D.

— Few-body bound states in the anyon-Hubbard model  (2609.09125 - Tesfaye et al., 8 Sep 2026) in Section Summary and Outlook