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Orbital Frustration and Emergent Flat Bands
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Orbital Frustration and Emergent Flat Bands
Orbital Frustration and Emergent Flat Bands
Paper

Orbital Frustration and Emergent Flat Bands

2021
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Overview
We expand the concept of frustration in Mott insulators and quantum spin liquids to metals with flat bands. We show that when inter-orbital hopping \\(t_2\\) dominates over intra-orbital hopping \\(t_1\\), in a multiband system with strong spin-orbit coupling \\(\\), electronic states with a narrow bandwidth \\(W t_2^2/\\) are formed compared to a bandwidth of order \\(t_1\\) for intra-orbital hopping. We demonstrate the evolution of the electronic structure, Berry phase distributions for time-reversal and inversion breaking cases, and their imprint on the optical absorption, in a tight binding model of \\(d\\)-orbital hopping on a honeycomb lattice. Going beyond quantum Hall effect and twisted bilayer graphene, we provide an alternative mechanism and a richer materials platform for achieving flat bands poised at the brink of instabilities toward novel correlated and fractionalized metallic phases.