Tailoring flat bands and topological phases in a multi-strand Creutz network

Abstract

We prove that, a suitable correlation between the system parameters can trigger topological phase transition and flat bands in a multi strand Creutz ladder network, when a staggered second neighbor interaction is included along the x axis. An appropriate change of basis maps such a finite N strand mesh into N or N 1 decoupled Su Schrieffer Heeger chains, depending onNeven or odd. A simple intuitive method, using a real space decimation scheme turns out to be very powerful in analytically extracting the flat bands, explaining their degeneracy or a lifting of the same. Our results are analytically exact, and may inspire experiments in photonics and ultracold atomic systems.

arXiv comment9 pages, 8 figures

References in corpus (39)

• Many-Body Physics with Ultracold Gases
• Artificial gauge potentials for neutral atoms
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Nearly-flat bands with nontrivial topology
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
• Artificial flat band systems: from lattice models to experiments
• Topological flat bands in frustrated kagome lattice CoSn
• Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Detangling Flat Bands into Fano Lattices
• Topological orbital ladders
• Chiral Ladders and the Edges of Chern Insulators
• Topology induced anomalous defect production by crossing a quantum critical point
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Unconventional Flatband Line States in Photonic Lieb Lattices
• Localization of weakly disordered flat band states
• Aspects of Chiral Symmetry and the Lattice
• Metal-insulator transition in an aperiodic ladder network: an exact result
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
• Topological nodal points in two coupled SSH chains
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Topological phases, edge modes, and the Hofstadter butterfly in coupled Su-Schrieffer-Heeger systems
• Nontrivial topological flat bands in a diamond-octagon lattice geometry
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Flat bands and nontrivial topological properties in an extended Lieb lattice
• One-dimensional topological insulators with noncentered inversion symmetry axis
• Topological flat band, Dirac fermions and quantum spin Hall phase in 2D Archimedean lattices
• Interaction-induced topological properties of two bosons in flat-band systems
• Quantum network transfer and storage with compact localized states induced by local symmetries
• Controlled engineering of extended states in disordered systems
• Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
• Disorder effects in the two-dimensional Lieb lattice and its extensions
• Interplay and competition between disorder and flat band in an interacting Creutz ladder
• Localization, phases and transitions in the three-dimensional extended Lieb lattices
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Time evolution of localized states in Lieb lattices

Cited by in corpus (9)

• Topological properties of a periodically driven Creutz ladder
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
• Topological properties of a class of generalized Su-Schrieffer-Heeger networks: chains and meshes
• Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with $s-p$ orbitals
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains
• Higher order topology in a Creutz ladder
• High-root topological edge-state bands
• Topological phase transition and its stability against an applied magnetic field in a class of low dimensional decorated lattices