Electronic transmission in a model quantum wire with side coupled quasiperiodic chains: Fano resonance and related issues

Abstract

We present exact results for the transmission coefficient of a linear lattice at one or more sites of which we attach a Fibonacci quasiperiodic chain. Two cases have been discussed, viz, when a single quasiperiodic chain is coupled to a site of the host lattice and, when more than one dangling chains are grafted periodically along the backbone. Our interest is to observe the effect of increasing the size of the attached quasiperiodic chain on the transmission profile of the model wire. We find clear signature that, with a side coupled semi-infinite Fibonacci chain, the Cantor set structure of its energy spectrum should generate interesting multifractal character in the transmission spectrum of the host lattice. This gives us an opportunity to control the conductance of such systems and to devise novel switching mechanism that can act over arbitrarily small scales of energy. The Fano profiles in resonance are observed at various intervals of energy as well. Moreover, an increase in the number of such dangling chains may lead to the design of a kind of spin filters. This aspect is discussed.

10 pages, 7 eps figures

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• Aharonov-Bohm ring with a side-coupled atomic cluster: magneto-transport and the selective switching effect
• Rigorous results for tight-binding networks: particle trapping and scattering
• Absolutely continuous energy bands in the electronic spectrum of quasiperiodic ladder networks
• Tuning Fano resonances by magnetic forces for electron transport through a quantum wire side-coupled to a quantum ring
• Electronic transmission in bent quantum wires
• Absolutely continuous energy bands and extended electronic states in an aperiodic comb-shaped nanostructure
• Transmission in a Fano-Anderson chain with a topological defect