Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains
arXiv:2304.00904 · doi:10.1142/S0217979225500973
Abstract
Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription, based on a real space decimation scheme, that extracts the energy eigenvalues corresponding to the flat bands along with their degeneracy. The topological phase transition is confirmed through the existence of quantized Zak phase for all the Bloch bands, and the edge states that are protected by chiral symmetry, consistent with the bulk-boundary correspondence. In addition to the edge states, the entangled systems are shown to give rise to clusters of localized eigenstates in the bulk of the system, in contrast to a purely one dimensional SSH system.
Accepted for publication in International Journal of Modern Physics B
References in corpus (23)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Topological Insulators in Three Dimensions
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Observation of bound states in Lieb photonic lattices
- Artificial flat band systems: from lattice models to experiments
- Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
- Detangling Flat Bands into Fano Lattices
- Unconventional Flatband Line States in Photonic Lieb Lattices
- Edge states in trimer lattices
- Localization of weakly disordered flat band states
- Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
- Transport in Sawtooth photonic lattices
- Topological nodal points in two coupled SSH chains
- One-dimensional -root topological insulators and superconductors
- Tuneable topological domain wall states in engineered atomic chains
- One-dimensional topological insulators with noncentered inversion symmetry axis
- Interaction-induced topological properties of two bosons in flat-band systems
- Vacancy-Engineered Flat-Band Superconductivity in Holey Graphene
- Tailoring flat bands and topological phases in a multi-strand Creutz network
- Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
- Topology of multiple cross-linked Su-Schrieffer-Heeger chains