Orbital Frustration and Emergent Flat Bands

Abstract

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 $\lambda$, electronic states with a narrow bandwidth $W\sim t_2^2/\lambda$ 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.

References in corpus (4)

• Continuum Model of the Twisted Bilayer
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra

Cited by in corpus (3)

• On the electronic ground state of two non-magnetic pentavalent honeycomb iridates
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Flat Bands Arising from Spin-Orbit Assisted Orbital Frustration