Topological classification of defects in two‐dimensional quasicrystals

A new topological classification of defects in two‐dimensional quasicrystals generated by the ‘‘generalized dual method (GDM)’’ is presented. Two classes of defects can be obtained by considering the possible obstructions encountered during the inward growth from a loop of tiles. The first class of...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 1991-05, Vol.32 (5), p.1408-1414
Main Authors: Wu, Yihren, Szeto, K. Y.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new topological classification of defects in two‐dimensional quasicrystals generated by the ‘‘generalized dual method (GDM)’’ is presented. Two classes of defects can be obtained by considering the possible obstructions encountered during the inward growth from a loop of tiles. The first class of defects, which do not associate with Burgers’ vectors, is new. A classification scheme for this class of defects is given along with examples drawn from a computer growth model in two dimensions. The second class of defects is a generalization of the work of Kleman and Pavlovitch to the GDM cases.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.529295