Interorbital Antisymmetric Hopping Generated Flat Bands on Kagome and Pyrochlore Lattices

Abstract

Flat bands are intriguing platforms for correlated and topological physics. Various methods have been developed to create flat bands utilizing lattice geometry, but the investigation of orbital symmetry in multiorbital materials is a new area of focus. Here, we introduce a site symmetry based approach to emerging multiorbital 2D and 3D flat bands on the kagome and pyrochlore lattices. As a conceptual advance, the one-orbital flat bands are shown to originate as mutual eigenstates of isolated molecular motifs. Further developing the mutual eigenstate method for multiple orbitals transforming differently under the site symmetries, we derive interorbital hopping generated flat bands from the antisymmetric interorbital Hamiltonian and introduce group-theoretic descriptions of the flat band wavefunctions. Realizations of multiorbital flat bands in realistic materials are shown to be possible in the Slater-Koster formalism. Our findings provide new directions for exploring flat band electronic structures for novel correlated and topological quantum states.

12+3 pages, 6 figures; 2nd version: published version for npj Quantum Materials

References in corpus (42)

• Topological quantum chemistry
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Observation of Fractionally Quantized Anomalous Hall Effect
• Fractional quantum Hall effect in the absence of Landau levels
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Topological flat bands in frustrated kagome lattice CoSn
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Sublattice Interference in the Kagome Hubbard Model
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Classification of flat bands according to the band-crossing singularity of Bloch wave functions
• Compact localized states and flatband generators in one dimension
• Topology of Disconnected Elementary Band Representations
• Superconductivity emerging from density-wave-like order in a correlated kagome metal
• A flat band-induced correlated kagome metal
• Spin-Orbit-Induced Topological Flat Bands in Line and Split Graphs of Bipartite Lattices
• The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
• Observation of Flat Band, Dirac Nodal Lines and Topological Surface States in Kagome Superconductor CsTi${}_3$Bi${}_5$
• Universal $d=1$ flatband generator from compact localized states
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Flatband generator in two dimensions
• Flat bands by latent symmetry
• Crystal Net Catalog of Model Flat Band Materials
• Non-Fermi liquid behavior in a correlated flatband pyrochlore lattice
• New class of flat-band models on tetragonal and hexagonal lattices: Gapped versus crossing flat bands
• Plethora of tunable Weyl fermions in kagome magnet Fe3Sn2 thin films
• Narrowing of topological bands due to electronic orbital degrees of freedom
• Fragile topology in line-graph lattices with two, three, or four gapped flat bands
• General construction of flat bands with and without band crossings based on wave function singularity
• Orbital Design of Flat Bands in Non-Line-Graph Lattices via Line-Graph Wavefunctions
• Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction
• Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures
• Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices
• Systematic construction of topological flat-band models by molecular-orbital representation
• Flat bands with band crossings enforced by symmetry representation
• Decoding flat bands from compact localized states
• New insight into tuning magnetic phases of $R$Mn${}_6$Sn${}_6$ kagome metals
• Flat-band solutions in $D$-dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
• Methods for constructing parameter-dependent flat band lattices

Cited by in corpus (1)

• Kagome metals