A remark on the trace-map for the Silver mean sequence
Disordered Systems and Neural Networks
2013-11-11 v3 Strongly Correlated Electrons
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.
Cite
@article{arxiv.1010.2476,
title = {A remark on the trace-map for the Silver mean sequence},
author = {Ilmar Gahramanov and Elmar Asgerov},
journal= {arXiv preprint arXiv:1010.2476},
year = {2013}
}
Comments
5 pages, minor improvements in style and presentation of calculations