Quasicrystals without forbidden symmetries

by Prof. Ron Lifshitz

School of Physics & Astronomy, Tel Aviv University

at Condensed Matter Seminar

Mon, 20 May 2024, 11:10
Sacta-Rashi Building for Physics (54), room 207

Abstract

Quasicrystals with symmetries that can be found in both periodic and aperiodic crystals have remained relatively unexplored over the years. This is despite the fact that they readily appear as the low-symmetry surfaces of standard quasicrystals, in 2-dimensional layered structures like graphene, as well as other experimental systems. Moreover, tiling models of such systems often provide new insight into the physical nature of aperiodic long-range order in situations that are potentially easier to treat. After giving a brief primer on quasiperiodic tilings, I shall describe a number of such models, starting with the rather simple and well-known example of the square Fibonacci tiling, and moving on to more interesting and complex tilings with trigonal and hexagonal point group symmetries. I will show how to generate and then analyze such tilings, employing the same standard methods one uses to study the most common quasicrystals.


R. Lifshitz, J. Alloys Compd. 342, 186 (2002) and S. Coates et al., Preprint, arXiv:2201.11848.v2 (2022).

Created on 13-05-2024 by Naamneh, Muntaser (mnaamneh)
Updaded on 13-05-2024 by Naamneh, Muntaser (mnaamneh)