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.

9 pages, 8 figures

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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