Growth modes of quasicrystals
C.V. Achim (1), M. Schmiedeberg (1), and H. L\"owen (1) ((1) Institut, f\"ur Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universit\"at, D\"usseldorf, D-40204 D\"usseldorf, Germany)

TL;DR
This paper investigates how quasicrystals grow from the melt, revealing two distinct growth modes—defect-free and phasonic flip dominated—that depend on thermodynamic conditions, with implications for experimental verification.
Contribution
It introduces a dynamical phase field crystal model to distinguish and analyze two unique growth modes of quasicrystals based on thermodynamic conditions.
Findings
Two growth modes identified: defect-free and phasonic flip dominated.
Phasonic flips create local defects and tiling-like order.
The growth modes can be experimentally verified in mesoscopic systems.
Abstract
The growth of quasicrystals, i.e., aperiodic structures with long-range order, seeded from the melt is investigated using a dynamical phase field crystal model. Depending on the thermodynamic conditions, two different growth modes are detected, namely defect-free growth of the stable quasicrystal and a mode dominated by phasonic flips which are incorporated as local defects into the grown structure such that random tiling-like ordering emerges. The latter growth mode is unique to quasicrystals and can be verified in experiments on one-component mesoscopic systems.
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