We study a one-dimensional topological model featuring a Su-Schrieffer-Heeger type pattern of nearest-neighbor couplings in combination with the longer-range interactions exponentially decaying with the distance. We demonstrate that even relatively weak long-range couplings can trigger the topological transition if their range is large enough. This provides an additional facet in the control of topological phases.
@article{arxiv.2509.24682,
title = {Topological transitions controlled by the interaction range},
author = {Vlad Simonyan and Maxim A. Gorlach},
journal= {arXiv preprint arXiv:2509.24682},
year = {2026}
}