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Superconducting junctions with flat bands
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We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current between flat-band superconductors is inversely proportional to the pair potential, how the quantum geometric contribution to the supercurrent contributes even in the normal state of a flat-band weak link, and how Andreev reflection is strongly affected by the presence of bound states. Our results are relevant for analyzing the superconducting properties of junctions involving electronic systems with flat bands.
Forward citations
Cited by 2 Pith papers
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Probing the flat-band limit of the superconducting proximity effect in Twisted Bilayer Graphene Josephson junctions
Strong proximity superconductivity persists in the flat-band limit of twisted bilayer graphene, with critical current decoupled from normal-state conductance and a Josephson diode effect in flat-band domes.
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Quantum Geometry in Quantum Materials
This review surveys how the quantum geometric tensor shapes superconductivity, spin stiffness, exciton condensates, Landau levels, and fractional Chern insulators in quantum materials.
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