We present exact results for the transmission coefficient of a linear latticeat one or more sites of which we attach a Fibonacci quasiperiodic chain. Twocases have been discussed, viz, when a single quasiperiodic chain is coupled toa site of the host lattice and, when more than one dangling chains are graftedperiodically along the backbone. Our interest is to observe the effect ofincreasing the size of the attached quasiperiodic chain on the transmissionprofile of the model wire. We find clear signature that, with a side coupledsemi-infinite Fibonacci chain, the Cantor set structure of its energy spectrumshould generate interesting multifractal character in the transmission spectrumof the host lattice. This gives us an opportunity to control the conductance ofsuch systems and to devise novel switching mechanism that can act overarbitrarily small scales of energy. The Fano profiles in resonance are observedat various intervals of energy as well. Moreover, an increase in the number ofsuch dangling chains may lead to the design of a kind of spin filters. Thisaspect is discussed.
展开▼
