Decoding flat bands from compact localized states
arXiv:2212.13526 · doi:10.1016/j.scib.2023.11.032
Abstract
The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work, we develop a systematic way to generate the compact localized states by designing destructive interference pattern from 1-dimensional chains. A variety of 2-dimensional new flat band systems are constructed with this method. Furthermore, we show that the method can be extended to generate the compact localized states in multi-orbital systems by carefully designing the block hopping scheme, as well as in quasicrystal and disorder systems.
References in corpus (38)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Graphene Bilayers with a Twist
- Fractional quantum Hall effect in the absence of Landau levels
- Topological insulator on the kagome lattice
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
- Artificial flat band systems: from lattice models to experiments
- Aharonov-Bohm cages in two-dimensional structures
- Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
- 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
- From dia- to paramagnetic orbital susceptibility of Dirac cones
- Detangling Flat Bands into Fano Lattices
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Interaction induced delocalisation for two particles in a periodic potential
- Compact localized states and flatband generators in one dimension
- Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
- How to escape Aharonov-Bohm cages ?
- Geometric orbital susceptibility: quantum metric without Berry curvature
- Hofstadter butterflies for flat bands
- Physics of higher orbital bands in optical lattices: a review
- Flat bands in fractal-like geometry
- Compact localized states and flat bands from local symmetry partitioning
- Universal flatband generator from compact localized states
- Fractional quantum Hall states for moiré superstructures in the Hofstadter regime
- Flatband generator in two dimensions
- Designing flat-band tight-binding models with tunable multifold band touching points
- Engineering flat electronic bands in quasiperiodic and fractal loop geometries
- Tunable orbital susceptibility in - tight-binding models
- Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks
- Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
- Designer quantum states on a fractal substrate: compact localization, flat bands and the edge modes
- Experimental realization of a high precision tunable hexagonal optical lattice
Cited by in corpus (12)
- Corner and Edge States in Topological Sierpinski Carpet Systems
- Reentrant topological phases and spin density wave induced by 1D moiré potentials
- Moiré semiconductors on twisted bilayer dice lattice
- A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
- Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
- Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
- Ferromagnetism vs. Antiferromagnetism in Narrow-Band Systems: Competition Between Quantum Geometry and Band Dispersion
- Interorbital Antisymmetric Hopping Generated Flat Bands on Kagome and Pyrochlore Lattices
- Non-Abelian line graph: A generalized approach to flat bands
- Topological Degeneracy Induced Flat Bands in two-Dimensional Holed Systems
- Compact localized currents in flat bands with broken time-reversal symmetry
- Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings