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arxiv: 1010.2476 · v3 · submitted 2010-10-12 · ❄️ cond-mat.dis-nn · cond-mat.str-el

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

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classification ❄️ cond-mat.dis-nn cond-mat.str-el
keywords findmeansequencesilvertrace-maptransfer-matrixapproachcharacterizes
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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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