Critical helix of hierarchical structures

Ryuichi Ugajin

Physica A: Statistical Mechanics and its Applications, 2003, vol. 324, issue 3, 551-567

Abstract: Electronic structures in a hierarchical helix with inter-round couplings, i.e., a multiply twisted helix, are investigated using the spectral statistics of a quantum particle. The hierarchical structure is constructed using a procedure in which a helical chain of components is twisted, producing a doubly twisted helix, which if itself is twisted produces a triply twisted helix, and so on. We compare three types of inter-round couplings, which enable electrons to return to their original positions. When the strength of inter-round couplings is sufficiently smaller than that along a basal helix, the type of inter-round couplings can be distinguished by the behavior of spectral statistics. The multiply twisted helix of inter-round couplings through a single site is unique in the sense that its electronic structure is robust against any change in the basal helix, so is called a ‘critical helix’.

Keywords: Critical structure; Spectral statistics; Anderson transition (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:324:y:2003:i:3:p:551-567

DOI: 10.1016/S0378-4371(03)00080-3

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