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Quantum Mechanical Conduction of Electrons in 1DFibonacci Quasicrystals
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this report we model and study the propagation of electrons in one-dimensional (1D)

Fibonacci quasicrystals. The quasicrystals are modeled with delta function potentials and

created by either arranging their strengths or their spacings as a 2 letter Fibonacci word.

The transmission and reflection amplitudes are calculated using an iterative method.

A comparison is made against an ordinary crystal and a semi-random setup. The

transmission of electrons are investigated and related to the electrical conduction in the

different types of materials. We also investigate how sensitive the quasicrystals are to

perturbations, compared to crystals. Finally, a quasicrystal modeled with a 3 letter

Fibonacci word is discussed.

We find that the Fibonacci structure increases the resistance by a relatively large

factor, which makes the quasicrystals act like semiconductors. We also find tendencies

that the quasicrystals are more sensitive to perturbations compared to ordinary crystals.

The results are in good agreement with similar, earlier studies, both theoretical and experimental.

Place, publisher, year, edition, pages
2013. , 31 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-127013OAI: diva2:643205
Available from: 2013-08-26 Created: 2013-08-26 Last updated: 2014-12-02Bibliographically approved

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