Topological transitions controlled by the interaction range

Abstract: We study a one-dimensional topological model featuring a Su-Schrieffer-Heeger type pattern of nearest-neighbor cou- plings 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.