A remark on the trace-map for the Silver mean sequence

Details A remark on the trace-map for the Silver mean sequence A remark on the trace-map for the Silver mean sequence

2010-10-12

arxiv.org/abs/1010.2476v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, minor improvements in style and presentation of calculations

Scientific paper

In this work we study the Silver mean sequence based on substitution rules by
means of a transfer-matrix approach. Using transfer-matrix method we find a
recurrence relation for the traces of general transfer-matrices which
characterizes electronic properties of the quasicrystal in question. We also
find an invariant of the trace-map.

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