One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
arXiv:2304.13631 · doi:10.1016/j.mseb.2023.116486
Abstract
We show that four narrow zigzag dice lattice ribbons, which have the minimal widths among their separate categories, constitute a unique collection of systems to study physics related to one-dimensional Dirac cones and flat bands. In zero magnetic field, all three combinations, including only Dirac cones, only flat bands, coexisting Dirac cones and flat bands, are realized in the low-energy band structures of one or two of the four ribbons. In particular, we identify flat bands and Dirac cones corresponding to the edge states of wide ribbons. In a perpendicular magnetic field that gives half a flux quantum per elementary rhombus, two of the four minimal ribbons have fully pinched spectrum, and dynamical evolutions from initially localized wave packets always lead to compact Aharonov-Bohm (AB) cages. The experimental realizations of these narrow zigzag dice lattice ribbons, and the opportunities of exploring novel single-body and many-body physics therein are discussed.
arXiv comment21 pages, 6 figures
References in corpus (79)
- The electronic properties of graphene
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Chiral tunneling and the Klein paradox in graphene
- Topological Photonics
- Electronic transport in two dimensional graphene
- Moire bands in twisted double-layer graphene
- Electronic States of Graphene Nanoribbons
- Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
- Topological Bands for Ultracold Atoms
- Recent developments in transport phenomena in Weyl semimetals
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Artificial flat band systems: from lattice models to experiments
- Effective low-energy theory for correlated carbon nanotubes
- Topological Flat Band Models and Fractional Chern Insulators
- Fractional Quantum Hall Physics in Topological Flat Bands
- Aharonov-Bohm cages in two-dimensional structures
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Topological Semimetals Predicted from First-principles Calculations
- Band touching from real space topology in frustrated hopping models
- Topological quantum matter with cold atoms
- Nearly flat band with Chern number C=2 on the dice lattice
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
- Exotic electronic states in the world of flat bands: from theory to material
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Hong-Ou-Mandel atom interferometry in tunnel-coupled optical tweezers
- Detangling Flat Bands into Fano Lattices
- Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
- End states, ladder compounds, and domain wall fermions
- Interaction induced delocalisation for two particles in a periodic potential
- Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
- Flat Bands Under Correlated Perturbations
- Unconventional Flatband Line States in Photonic Lieb Lattices
- Magnetic field induced localization in a two-dimensional superconducting wire network
- Preformed pairs in flat Bloch bands
- Single-electron control in a foundry-fabricated two-dimensional qubit array
- A Fermi-Hubbard Optical Tweezer Array
- Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Electronic Properties of Armchair Carbon Nanotubes : Bosonization Approach
- Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
- Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
- Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
- Flat-band localization in Creutz superradiance lattices
- Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms
- Exact many-electron ground states on the diamond Hubbard chain
- Unconventional phases in a Haldane model of dice lattice
- Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
- Nonlinear dynamics of Aharonov-Bohm cages
- Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
- Kagom{é} Lattice Antiferromagnet Stripped to Its Basics
- Designer Flat Bands in Quasi-One-Dimensional Atomic Lattices
- Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems
- Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
- Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
- Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
- Electronic states of pseudospin-1 fermions in dice lattice ribbons
- Flat Bands and Ferrimagnetic Order in Electronically Correlated Dice-Lattice Ribbons
- Interplay of disorder and interactions in a flat-band supporting diamond chain
- Flat bands and PT-symmetry in quasi-one-dimensional lattices
- Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
- Exact low-temperature properties of a class of highly frustrated Hubbard models
- Interplay and competition between disorder and flat band in an interacting Creutz ladder
- Influence of different disorder types on Aharonov-Bohm caging in the diamond chain
- The Rhombi-Chain Bose-Hubbard Model: geometric frustration and interactions
- Localized modes in nonlinear photonic kagome nanoribbons
- Multitude of Topological Phase Transitions in Bipartite Dice and Lieb Lattices with Interacting Electrons and Rashba Coupling
- Valley-contrasting interband transitions and excitons in symmetrically biased dice model
- Tunable Aharonov-Bohm-like cages for quantum walks
- Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
- Layer-by-layer assembly of multilayer optical lattices: Application to displaced dice lattice
- Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences
- Quantum phase transition and criticality in quasi one-dimensional spinless Dirac fermions