43 citations · 83 across the 5 of their papers we have counts for
5 papers
Observation of Log-Periodic Oscillations in the Quantum Dynamics of Electrons on the One-Dimensional Fibonacci Quasicrystal
Ron Lifshitz, Shahar Even-Dar Mandel
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…
Bloch-like Electronic Wave Functions in Two-Dimensional Quasicrystals
Shahar Even-Dar Mandel, Ron Lifshitz
Electrons in quasicrystals generically possess critical wave functions that are neither exponentially-localized nor extended, but rather decay algebraically in space. Nevertheless,…
In search of multipolar order on the Penrose tiling
E. Y. Vedmedenko, Shahar Even-Dar Mandel, Ron Lifshitz
Based on Monte Carlo calculations, multipolar ordering on the Penrose tiling, relevant for two-dimensional molecular adsorbates on quasicrystalline surfaces and for nanomagnetic ar…
Electronic Energy Spectra of Square and Cubic Fibonacci Quasicrystals
Shahar Even-Dar Mandel, Ron Lifshitz
Understanding the electronic properties of quasicrystals, in particular the dependence of these properties on dimension, is among the interesting open problems in the field of quas…
Electrons and Phonons on the Square Fibonacci Tiling
Roni Ilan, Edo Liberty, Shahar Even-Dar Mandel +1
We study the Schroedinger equation for an off-diagonal tight-binding hamiltonian, as well as the equations of motion for out-of-plane vibrations, on the separable square Fibonacci…