Structural studies of local environments in high-symmetry quasicrystals.

ABSTRACT: The statistics of how the local environment of a particle looks like, e.g., given by the distribution of nearest neighbor distances or the sizes of Voronoi cells, is important as a starting point for the calculation of many material properties like electronic or photonic band structures. Here we study local environments that occur in quasicrystals with large rotational symmetry. Both with analytical considerations based on geometric arguments and with an analysis of a large number of numerically created patches of high-symmetry quasicrystals we find that the Voronoi area's distribution reaches a bimodal curve and that in the limit of large rotational symmetries the distribution of nearest neighbor distance converges against a universal curve, where [Formula: see text] of the vertices have

SUBMITTER: Sosa ARM 

PROVIDER: S-EPMC10550988 | biostudies-literature | 2023 Oct

REPOSITORIES: biostudies-literature