Disordered flat bands on the kagome lattice

Abstract

We study two models of correlated bond- and site-disorder on the kagome lattice considering both translationally invariant and completely disordered systems. The models are shown to exhibit a perfectly flat ground state band in the presence of disorder for which we provide exact analytic solutions. Whereas in one model the flat band remains gapped and touches the dispersive band, the other model has a finite gap, demonstrating that the band touching is not protected by topology alone. Our model also displays fully saturated ferromagnetic groundstates in the presence of repulsive interactions, an example of disordered flat band ferromagnetism.

arXiv comment7+3 pages, 4+2 figures, accepted version

References in corpus (41)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Superfluidity in topologically nontrivial flat bands
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Artificial flat band systems: from lattice models to experiments
• Topological Flat Band Models and Fractional Chern Insulators
• Fractional Quantum Hall Physics in Topological Flat Bands
• Ultracold Atoms in a Tunable Optical Kagome Lattice
• From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
• Band touching from real space topology in frustrated hopping models
• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Bose condensation in flat bands
• Detangling Flat Bands into Fano Lattices
• Compact localized states and flatband generators in one dimension
• Flat Bands Under Correlated Perturbations
• Lattice generalization of the Dirac equation to general spin and the role of the flat band
• Anderson localisation in tight-binding models with flat bands
• Chiral Flat Bands: Existence, Engineering and Stability
• Localization of weakly disordered flat band states
• Classical Spin Liquid: Exact Solution for the Infinite-Component Antiferromagnetic Model on the Kagomé Lattice
• Superconductivity from Flat Dispersion Designed in Doped Mott Insulators
• Compactly-supported Wannier functions and algebraic $K$-theory
• High field properties of geometrically frustrated magnets
• Flat bands in fractal-like geometry
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Universal $d=1$ flatband generator from compact localized states
• Stability of Ferromagnetism in Hubbard Models with Nearly-Flat Bands
• Linear independence of localized magnon states
• Flat bands and Dirac cones in breathing lattices
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Wigner crystallization in topological flat bands
• Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Topology and geometry of spin origami
• Flat bands and compactons in mechanical lattices
• Persistence of the flat band in a kagome magnet with dipolar interactions

Cited by in corpus (41)

• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Realization of the square-root higher-order topological insulator in electric circuits
• Temperature-driven reorganization of electronic order in CsV${}_3$Sb${}_5$
• Flat Band Quantum Scar
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Origin of the flat band in heavily Cs doped graphene
• General construction of flat bands with and without band crossings based on wave function singularity
• Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands
• Flat band, spin-1 Dirac cone, and Hofstadter diagram in the fermionic square kagome model
• Molecular-orbital representation of generic flat-band models
• Anomalous magnetic noise in imperfect flat bands in the topological magnet Dy2Ti2O7
• Flat bands with band crossings enforced by symmetry representation
• Systematic construction of topological flat-band models by molecular-orbital representation
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Localization, phases and transitions in the three-dimensional extended Lieb lattices
• Spin-polarized imaging of the antiferromagnetic structure and field-tunable bound states in kagome magnet FeSn
• Flat-band solutions in $D$-dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
• Sumanene monolayer of pure carbon: a two-dimensional Kagome-analogy lattice with desirable band gap, ultrahigh carrier mobility and strong exciton binding energy
• Order by disorder in classical kagome antiferromagnets with chiral interactions
• Isolated flat bands in 2D lattices based on a novel path-exchange symmetry
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Superconductivity in kagome metal ThRu3Si2
• Unconventional delocalization in a family of 3D Lieb lattices
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Anomalous transport in pseudospin-1 fermions
• Molecular-orbital representation with random U(1) variables
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Scaling laws for weakly disordered 1D flat bands
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Bilayer twisting as a mean to isolate connected flat bands in a Kagome lattice through Wigner crystallization
• Pinch-point spectral singularity from the interference of topological loop states
• Robustness of flat bands on the perturbed Kagome and the perturbed Super-Kagome lattice
• Unconventional gapless semiconductor in an extended martini lattice in covalent honeycomb materials
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Topological edge states of the hexagonal linear chain
• Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness