Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid

Mestel, B. D. and Osbaldestin, A. H. (2004). Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid. Journal of Mathematical Physics, 45(12) pp. 5042–5075.

DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1063/1.1797532
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Abstract

We provide a rigorous analysis of the fluctuations of localized eigenstates in a generalized Harper equation with golden mean flux and with next-nearest-neighbor interactions. For next-nearest-neighbor interaction above a critical threshold, these self-similar fluctuations are characterized by orbits of a renormalization operator on a universal strange attractor, whose projection was dubbed the "orchid" by Ketoja and Satija [Phys. Rev. Lett. 75, 2762 (1995)]. We show that the attractor is given essentially by an embedding of a subshift of finite type, and give a description of its periodic orbits.

Item Type:	Journal Article
Copyright Holders:	2004 American Institute of Physics
ISSN:	0022-2488
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	9548
Depositing User:	Benjamin Mestel
Date Deposited:	01 Oct 2007
Last Modified:	29 Jun 2011 16:23
URI:	http://oro.open.ac.uk/id/eprint/9548

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