Abstract
The fabrication of artificial heterostructures is mainly based on substitution systems. We present simple ways to construct double-sided versions of the Fibonacci, Prouhet-Thue-Morse, paperfolding, period doubling and Golay-Rudin-Shapiro sequences. We also construct a generic instance of the two-dimensional Prouhet-Thue-Morse structure and explore its symbolic complexity. The complexity turns out to be polynomial and hence, the entropy goes to zero.
Original language | English |
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Pages (from-to) | 2718-2727 |
Number of pages | 10 |
Journal | Philosophical Magazine |
Volume | 91 |
Issue number | 19-21 |
DOIs | |
State | Published - 1 Jul 2011 |
Keywords
- 2D Prouhet-Thue-Morse structure
- double-sided sequences
- heterostructures
- symbolic complexity
ASJC Scopus subject areas
- Condensed Matter Physics