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Critical helix of hierarchical structures

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  • Ugajin, Ryuichi

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’.

Suggested Citation

  • Ugajin, Ryuichi, 2003. "Critical helix of hierarchical structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 551-567.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:3:p:551-567
    DOI: 10.1016/S0378-4371(03)00080-3
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