Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-12-05
Physics
Condensed Matter
Disordered Systems and Neural Networks
Revtex4, 9 pages, 6 eps figures
Scientific paper
Interaction of bound states with a singular continuous spectrum is studied using a one dimensional Fibonacci quasicrystal as a prototype example. Single level quantum dots are attached from a side to a subset of atomic sites of the quasiperiodic chain. The proximity of the dots to the chain is modeled by introducing a tunnel hopping between a dot and the backbone. It is shown that, depending upon the proximity of the side coupled dot, the spectrum of an infinite quasiperiodic chain can display radical changes from its purely one dimensional characteristics. Absolutely continuous parts in the spectrum can be generated as well as isolated resonant eigenstates whose positions in the spectrum are sensitive to the proximity of the quantum dots. The cycles of the matrix map and the two terminal transport are discussed in details.
Chakrabarti Arunava
Chattopadhyay Samar
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