Solitons in one-dimensional lattices with a flat band

Abstract

We investigate the spectral properties of a quasi-one-dimensional lattice in two possible dimerisation configurations. Both configurations are characterized by the same lattice topology and the identical spectra containing a flat band at zero energy. We find that one of the dimerised configuration has similar symmetry to a one-dimensional chain proposed by Su-Schrieffer-Heeger for studying solitons in conjugated polymers. Whereas, the other dimerised configuration only shows non-trivial topological properties in the presence of chiral-symmetry breaking adiabatic pumping.

8 pages, 5 figures

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• Topological phases of polaritons in a cavity waveguide
• Designer Flat Bands in Quasi-One-Dimensional Atomic Lattices
• The Rhombi-Chain Bose-Hubbard Model: geometric frustration and interactions
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Topological inverse Anderson insulator
• Compact localized boundary states in a quasi-1D electronic diamond-necklace chain
• Nonsymmorphic chiral symmetry and solitons in the Rice-Mele model
• Implementation and characterization of the dice lattice in the electron quantum simulator
• Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Topological Phase Transitions with Zero Indirect Band Gap