I. A. Blech’s research while affiliated with Technion – Israel Institute of Technology and other places

... [5] Quasicrystals are a class of solid materials that exhibit long-range order without periodic repetition. First identified in 1982 by Dan Shechtman, [6] their discovery challenged the prevailing assumption that atomic arrangements in crystals must repeat regularly in space. Quasicrystals display symmetry, such as fivefold rotations, that are forbidden in classical crystallography, yet their structure is neither random nor disordered. ...

Reference:

Language Models as Quasi-Crystalline Thought: Structure, Constraint, and Emergence in Generative Systems

... Quasicrystals (QCs) are aperiodic structures characterized by discrete diffraction patterns. Initially explored as a mathematical concept [1,2], they were eventually discovered in metallic alloys in the 1980s [3,4], prompting a redefinition of the very concept of crystal [5]. Besides exploration within condensed matter systems [6][7][8][9][10][11], quasicrystalline order has since been observed across a wide range of materials. ...

Reference:

Modeling dislocations in quasicrystals through amplitude equations

... Quasicrystal (QC), which is a class of arrangements of atoms only with long-range orientation but without translational symmetry, has been intensively studied since its first discovery in the Al-Mn alloy by Shechtman et al. [21,22] The lack of periodicity in QCs gives rise to unique electronic states, which have continued to be fascinating research topics for more than 40 years since their discovery. Moreover, QCs have phason distortion [23,24] as well as phonon distortion, which could offer a platform of a variety of anomalous thermodynamic effects [25,26], structural transitions [27][28][29], and lattice dynamics [30,31]. ...

Reference:

Predicted versatile topological nodal magnons in the icosahedral quasicrystal 1/1 approximants