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Flat bands and unconventional superconductivity in a simple model of metal-organic frameworks

M. F. Ohlrich1,*, E. M. Makaresz1, H. L. Nourse2,†, and B. J. Powell1,‡

  • *Contact author: miriamohlrich@gmail.com
  • †Present address: School of Chemistry, University of Sydney, NSW 2006, Australia.
  • ‡Contact author: powell@physics.uq.edu.au

Phys. Rev. B 111, L100503 – Published 10 March, 2025

DOI: https://doi.org/10.1103/PhysRevB.111.L100503

Abstract

We show that interference-induced flat bands (IFBs) are commonplace in reticular materials. For example, several metal-organic frameworks, including the superconductor Cu-BHT, form kagome lattices with metals at the vertices and ligands along the bonds. Similar bipartite motifs are common in reticular materials. A tight-binding model on this lattice yields partially occupied IFBs at half filling with large gaps between them and all other bands. Long-range hopping induces curvature in the bands but leaves them flatter and more isolated than those in twisted bilayer graphene. The slave boson theory of the t−J model on this lattice shows unconventional superconductivity. Thus, crystal engineering of reticular materials provides a lattice-driven route to flat bands with high electronic densities, which promote exotic, strongly correlated phenomena.

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