Unified strategy of flat band engineering, electronic transport and other spectral properties for different kagome ribbon variants

We address the problem of flat band engineering in different prototypes of quasi-one dimensional kagome network through a generalized analytical proposition worked out within the tight-binding formalism. Exact fabrication of single particle eigenstates with localized as well as diffusive modes is reported through the demonstration of such unified methodology by virtue of a simple real space decimation formalism in such interesting variants of ribbon shaped geometry. The description provides a common platform to investigate the band dispersion including the overall spectral portrait and associated physical aspects of those quasi-one dimensional lattices. Exact detection of dispersionless flat band mode and its tunability are reported as a direct consequence of the analytical prescription. Analytical work out is justified through the numerical evaluation of density of eigenstates, electronic transmission behavior, inverse participation ratio, persistent current study, Aharanov-Bohm oscillation in the transmittance and other related issues. An obvious analogous extension in the context photonics concludes our description.