Flat band superconductivity in the square-octagon lattice

Abstract

The discovery of superconductivity in twisted bilayer graphene has triggered a resurgence of interest in flat-band superconductivity. Here, we investigate the square-octagon lattice, which also exhibits two perfectly flat bands when next-nearest neighbour hopping or an external magnetic field are added to the system. We calculate the superconducting phase diagram in the presence of on-site attractive interactions and find two superconducting domes, as observed in several types of unconventional superconductors. The critical temperature shows a linear dependence on the coupling constant, suggesting that superconductivity might reach high temperatures in the square-octagon lattice. Our model could be experimentally realized using photonic or ultracold atoms lattices.

8 pages, 4 figures

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• Disorder scattering in classical flat channel transport of particles between twisted magnetic square patterns
• Correlated metallic two-particle bound states in Wannier--Stark flatbands
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
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• Median-point approximation and its application for the study of fermionic systems
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• Flux-induced strengthening of the magnetic couplings in a flat-band diamond chain
• RKKY couplings in the Lieb lattice: flat-band induced frustration
• Magnetic colloidal single particles and dumbbells on a tilted washboard moire pattern in a precessing external field