A natural class of generalized Fibonacci chains

, and

Published under licence by IOP Publishing Ltd
, , Citation Zhi-Ying Wen et al 1994 J. Phys. A: Math. Gen. 27 3689 DOI 10.1088/0305-4470/27/11/019

0305-4470/27/11/3689

Abstract

In this paper we propose a class of substitution rules that generate quasiperiodic chains sharing their typical properties with the quasiperiodic Fibonacci chain. For a subclass we explicitly construct the atomic surface. Moreover, scaling properties of the energy spectrum are discussed in relation to the dynamics of trace maps.

Export citation and abstract BibTeX RIS

10.1088/0305-4470/27/11/019