Results 31 to 40 of about 283 (132)
, 2014 International audienceThe (lattice) dynamics of quasicrystals differs in many aspects from that of lattice periodic systems. This they have in common with other aperiodic crystals.
Janssen, T., Boissieu M., De
core +1 more source
Ising Spins on Frustrated Bronze‐Mean Hexagonal Quasicrystal
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract We investigate the Ising model on the Bronze‐mean hexagonal quasicrystal (BMH QC), an aperiodic tiling with geometric frustration. Our extensive Monte Carlo simulations explore the model's rich phase diagram, revealing six distinct phases with diverse magnetic properties and degrees of frustration. We uncover exotic spin glass phases, signaled
Pratyay Ghosh
wiley +1 more source
Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract We review scanning tunnelling microscopy (STM) studies of the surfaces of periodic Tsai‐type approximants. Although they are useful analogues to the Tsai‐type quasicrystals, the surfaces of these periodic approximants behave in subtly different and often more complex ways when compared to their quasiperiodic cousins.
Sam Coates +3 more
wiley +1 more source
Approximations of Symbolic Substitution Systems in One Dimension
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Periodic approximations of quasicrystals are a powerful tool in analyzing spectra of Schrödinger operators arising from quasicrystals, given the known theory for periodic crystals. Namely, we seek periodic operators whose spectra approximate the spectrum of the limiting operator (of the quasicrystal).
Lior Tenenbaum
wiley +1 more source
Quasicrystal Structure Prediction: A Review
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Predicting quasicrystal structures is a multifaceted problem that can involve predicting a previously unknown phase, predicting the structure of an experimentally observed phase, or predicting the thermodynamic stability of a given structure. We survey the history and current state of these prediction efforts with a focus on methods that have ...
Michael Widom, Marek Mihalkovič
wiley +1 more source
13th International Conference on Quasicrystals
, 2017 The 13th International Conference on Quasicrystals (ICQ13) was held in Kathmandu, Nepal, from 18th to 23rd September 2016. This episode of a series of conferences on quasicrystals followed twelve previous successful meetings.
Lifshitz, R +7 more
core +1 more source
Canonical‐Cell Tilings and their Atomic Decorations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract The canonical cell tiling is a geometrical framework that uses four kinds of basic polyhedra, called the canonical cells, to model the packing of atoms and clusters in icosahedral quasicrystals and related periodic approximants. Over the past three decades, it has become increasingly clear that this framework is the most sensible approach to ...
Nobuhisa Fujita +2 more
wiley +1 more source
On the Fibonacci Tiling and its Modern Ramifications
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well‐known Fibonacci chain to explain some of them, with pointers to various generalisations as well as ...
Michael Baake +2 more
wiley +1 more source
Quasicrystals: diversity and complexity
, 2011 a variety of stimulating new experimental data and novel theoretical results. New aperiodic crystals were presented; new theoretical ideas were described; exciting experimental results were revealed; and potential applications of quasicrystals were ...
Ron Lifshitzb +3 more
core +1 more source
Pure Point Diffraction and Almost Periodicity
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets.
Daniel Lenz +2 more
wiley +1 more source