Fano resonance in discrete lattice models: controlling lineshapes with impurities

Abstract

The possibility of controlling Fano lineshapes in the electronic transmission is addressed in terms of a simple discrete model within a tight binding framework, in which a finite sized ordered chain is coupled from one side to an infinite linear chain (the `backbone') at one lattice point. It is found that, the profile of Fano resonance is strongly influenced by the presence of impurity atoms in the backbone. We specifically discuss the case with just two substitutional impurities sitting in the otherwise ordered backbone. Precise analytical formulae relating the locations of these impurities to the size of the side coupled chain have been presented. The nature of the transmission spectrum and the reversal of the pole-zero structures in the Fano resonance are discussed with the help of these formulae.

8 pages, 5 eps figures

References in corpus (4)

• Control of electron transport through Fano resonances in molecular wires
• Engineering Fano resonances in discrete networks
• Electronic transmission in a model quantum wire with side coupled quasiperiodic chains: Fano resonance and related issues
• Dicke effect in a quantum wire with side-coupled quantum dots

Cited by in corpus (5)

• Aharonov-Bohm ring with a side-coupled atomic cluster: magneto-transport and the selective switching effect
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• Quantum transport in coupled resonators enclosed synthetic magnetic flux
• Transmission in a Fano-Anderson chain with a topological defect
• Fano Resonances in Quantum Transport with Vibrations