paper

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

arXiv:1010.2476 · doi:10.1142/S0217984913501078

Abstract

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.

5 pages, minor improvements in style and presentation of calculations

References in corpus (2)