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Back Cover: Formation of epitaxial domains: Unified theory and survey of experimental results (Phys. Status Solidi B 4/2011)
Author(s) -
Grundmann Marius
Publication year - 2011
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201190012
Subject(s) - ferroelectricity , substrate (aquarium) , epitaxy , cover (algebra) , homogeneous space , hexagonal crystal system , heterojunction , materials science , condensed matter physics , barium titanate , point (geometry) , mathematics , realization (probability) , pure mathematics , crystallography , dielectric , physics , geometry , nanotechnology , optoelectronics , chemistry , engineering , mechanical engineering , oceanography , layer (electronics) , statistics , geology
Epilayers Take Turns (M. Grundmann, pp. 805–824 ). You can park your car into a spot two ways: forward and backward. In the language of crystallography this corresponds to two rotation domains. How many equivalent ways can you fit a square on a hexagon? In crystal growth this problem arises for cubic ferroelectric barium titanate deposited on hexagonal zinc oxide, a prototype system for novel transparent, non‐volatile memory cells. The answer is three. The inverse problem, hexagon on a square, yields a different number of only two possibilities. Considering the 10 two‐dimensional point groups, all heteroepitaxial material combinations fall into one of 125 categories, depending on the symmetries and relative angular arrangement of substrate and epilayer. The number of epitaxial (rotation and mirror) domains has been derived now for all cases using group theory, helping in the design of novel heterostructures. Many examples from literature involving metals, semiconductors and dielectrics are categorized. Occasionally Nature allows additional domains – kind of allowing parallel parking as well.