Physics – Condensed Matter – Materials Science
Scientific paper
2010-06-03
Phil. Mag. 91 (2011) 2972-2800
Physics
Condensed Matter
Materials Science
Scientific paper
10.1080/14786435.2010.543092
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.
Lifshitz Ron
Mandel Shahar Even-Dar
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