Epitaxial interfaces between half-crystals of quasicrystalline and periodic material

Wolfgang Theis, KJ Franke

Research output: Contribution to journalArticle

9 Citations (Scopus)


We recently demonstrated that epitaxial interfaces can be formed between periodic and quasiperiodic materials (Franke et al 2007 Phys. Rev. Lett. 99 036103). Such interfaces exhibit the same defining characteristic as epitaxial interfaces between commensurate periodic materials, namely the locking into registry of the two half-crystals' atomic structures. This real space characteristic is equivalent to the requirement of a coincidence of reciprocal lattice points. Here, we explore the characteristics of the potential interfaces within the class of quasicrystals exhibiting a periodic direction, including decagonal quasicrystals. We derive our results geometrically from a higher dimensional description, thus providing visual insight into the underlying concepts. Since the reciprocal lattice of quasicrystalline structures is generated by more basis vectors than their periodic counterparts', suitable quasicrystalline interlayers can be designed to epitaxially link incommensurate half-crystals. We give examples of selected model structures as illustrations.
Original languageEnglish
Pages (from-to)314004-
JournalJournal of Physics: Condensed Matter
Issue number31
Early online date11 Jul 2008
Publication statusPublished - 6 Aug 2008


Dive into the research topics of 'Epitaxial interfaces between half-crystals of quasicrystalline and periodic material'. Together they form a unique fingerprint.

Cite this