Quasiperiodic ordering in thick Sn layer on i -Al-Pd-Mn: A possible quasicrystalline clathrate

Anderson localization of electron states in a quasicrystal

“…Unlike crystals, quasicrystals do not exhibit any translational symmetry but have an aperiodic long-range order with forbidden rotational symmetries and thus, unlike amorphous systems, are ordered. Quasicrystallinity has been reported in diverse systems; a few examples are binary and ternary intermetallic alloys [11][12][13], elemental metal films [14,15], the self-assembled nanoparticle superlattice [16], perovskite oxide adlayers [17], and large molecular assemblies [18]. Recently reported nontrivial topological edge states in quasiperiodic systems [19,20] and a topological phase in a chalcogenide quasicrystal [21] have generated considerable excitement in this area.…”

The role of three-dimensional bulk clusters in determining surface morphologies of intermetallic compounds: Quasicrystals to clathrates

“…86 Recently, the realization of a metastable Sn quasicrystalline clathrate on the fivefold i-AlPdMn surface has once more highlighted the impact of a complex adsorption landscape for the discovery of novel nano-scale architectures and new phases. 87 At the early stage of the nucleation, Sn adatoms self-assemble into ten-atom starfish clusters atop WF sites (as for the Pb element). The formation of these pentagonal islands is crucial for the formation of the quasiperiodic overlayer.…”

“…In addition, the coincidence between the cage-cage linkage lengths in the Sn clathrate with the WF-to-WF separations on fivefold i-AlPdMn is what makes the growth of the Sn clathrate feasible. 87 This interface compatibility prevents the formation of more stable crystalline structures and promotes the quasiperiodic ordering of thick layer of elemental Sn on the quasicrystal fivefold surface. The impact of the fivefold i-AlPdMn surface on the morphology of an elemental thick film was originally demonstrated for Cu and Co adsorptions.…”

“…86 (d) Representation of the quasiperiodic Sn clathrate atomic structure corresponding to the 5/3 approximant. The starfish cluster formed in the submonolayer regime upon adsorption of Sn on the 5-f i-AlPdMn surface is highlighted in the Sn structure 87. [(a), (b), and (d)] are reprinted with permission from the American Physical Society.…”

Two-dimensional binary metal-oxide quasicrystal approximants

“…In the years that followed, numerous quasicrystals of the inter-metallics family were discovered [5,6]. Very recently, elemental systems showing quasicrystalline order were discovered in 30 • twisted bilayer graphene [7][8][9], and in tin grown on a quasicrystalline substrate [10]. The collection of known systems exhibiting quasiperiodic order extends well beyond the aforementioned examples, enveloping systems at larger size scales such as dendretic liquid quasicrystals [11], diblock copolymers [12], and in both binary and single-component nanoparticle super-lattices [13,14].…”