We consider two-body bound states in a flat band of a multiband system. The existence of pair dispersion predicts the possibility of breaking the degeneracy of the band and creating order, such as superconductivity. Within a separable interaction potential approximation, we find that the finiteness of the effective mass of a bound pair is determined by a band-structure invariant, which in the uniform case becomes the quantum metric. The results offer a simple foundation to understand and predict flat-band superconductivity. We propose an experiment to test the interaction-induced pair motion.
- Condensed Matter - Superconductivity
- Condensed Matter - Quantum Gases
Törmä, P., Liang, L., & Peotta, S. (2018). Quantum metric and effective mass of a two-body bound state in a flat band. Physical Review B, 98(22), 1-5. . https://doi.org/10.1103/PhysRevB.98.220511