Coherence length and quantum geometry in a dilute flat-band superconductor
arXiv:2407.08449 · doi:10.1103/PhysRevB.110.144505
Abstract
To explore the influence of quantum-geometric effects on the Ginzburg-Landau coherence length in a dilute flat-band superconductor, we adopt a BCS-BEC crossover approach to the multiband pyrochlore-Hubbard model near the critical temperature for superconductivity. Our self-consistent formulation for this three-dimensional lattice benchmarks very well against the so-called zero-temperature coherence length, demonstrating the monotonic decay of the coherence length to zero as the interaction strength increases. Additionally, we show that the effective mass of the many-body bound states (i.e., Cooper pairs) is nearly identical to that of the lowest-lying two-body bound states in the dilute flat-band limit.
10 pages with 3 figures. To appear in PRB
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Cited by in corpus (6)
- Pair size and quantum geometry in a multiband Hubbard model
- Structure factors and quantum geometry in multiband BCS superconductors
- Superconducting junctions with flat bands
- Quenched disorder and the BCS-BEC crossover in the Hubbard model
- Correlation lengths of flat-band superconductivity from quantum geometry
- Third-harmonic generation in superconductors: Role of quantum geometry in the competition between Higgs mode and quasiparticles