Observation of log-periodic oscillations in the quantum dynamics of electrons on the one-dimensional Fibonacci quasicrystal

Ron Lifshitz*, Shahar Even Dar Mandel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We revisit the question of quantum dynamics of electrons on the off-diagonal Fibonacci tight-binding model. We find that typical dynamical quantities, such as the probability of an electron to remain in its original position as a function of time, display log-periodic oscillations on top of the leading-order power-law decay. These periodic oscillations with the logarithm of time are similar to the oscillations that are known to exist with the logarithm of temperature in the specific heat of Fibonacci electrons, yet they offer new possibilities for the experimental observation of this unique phenomenon.

Original languageEnglish
Pages (from-to)2792-2800
Number of pages9
JournalPhilosophical Magazine
Volume91
Issue number19-21
DOIs
StatePublished - 1 Jul 2011

Funding

FundersFunder number
Israel Science Foundation684/06, 556/10

    Keywords

    • Fibonacci quasicrystals
    • electronic transport
    • log-periodic oscillations
    • quantum dynamics
    • quasicrystals
    • tight-binding model

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