Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model

Abstract

We report ten ground states arising from strong correlations in the single-orbital Hubbard model on the decorated honeycomb lattice; including Dirac metals, flat-band ferromagnets, real-space Mott insulators, dimer and trimer Mott insulators, and a spin-$1$ Mott insulator. The rich phase diagram arises from structures within the unit cell. Hence, such states are absent on simpler lattices. We argue that such insulating phases are prevalent on decorated lattices. These are found in many materials and common in coordination polymers, providing a playground to explore this physics.

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Cited by in corpus (6)

• Local gate control of Mott metal-insulator transition in a 2D metal-organic framework
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Unconventional superconductivity near a flat band in organic and organometallic materials
• Topological superconductivity from doping a triplet quantum spin liquid in a flat band system
• Bad topological semimetals in layered honeycomb compounds
• $C_3$ symmetry breaking metal-insulator transitions in a flat band in the half-filled Hubbard model on the decorated honeycomb lattice