Quantum metric and effective mass of a two-body bound state in a flat band
Physical review. B./Physical review. B2018Vol. 98(22)
Citations Over TimeTop 10% of 2018 papers
Abstract
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.
Related Papers
- → Degeneracy in the particle-in-a-box problem(1974)32 cited
- → A weak degeneracy revealing decomposition for the CANDECOMP/PARAFAC model(2010)17 cited
- Quantum Degeneracy in Two Dimensional Systems(2009)
- → Considerations for predicting freezeout and exhaustion under a variety of nontrivial conditions(2002)1 cited
- THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS(2000)