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

TL;DR

This paper presents a unified analytical approach to engineer flat bands and analyze electronic transport in various kagome ribbon structures, providing insights into their spectral and physical properties.

Contribution

It introduces a generalized real space decimation method for flat band engineering in quasi-one-dimensional kagome lattices, enabling precise control and analysis of their spectral features.

Findings

Exact flat band modes and their tunability demonstrated

Numerical validation through density of states and transmission calculations

Insights into persistent current and Aharonov-Bohm oscillations obtained

Abstract

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.