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Localization properties of transmission lines with generalized Thue-Morse distribution of inductances

Author

Listed:
  • Edmundo Lazo
  • Eduardo Saavedra
  • Fernando Humire
  • Cristobal Castro
  • Francisco Cortés-Cortés

Abstract

We study the localization properties of direct transmission lines when we distribute two values of inductances L A and L B according to a generalized Thue-Morse aperiodic sequence generated by the inflation rule: A → AB m−1 , B → BA m−1 , m ≥ 2 and integer. We regain the usual Thue-Morse sequence for m=2. We numerically study the changes produced in the localization properties of the I (ω) electric current function with increasing m values. We demonstrate that the m=2 case does not belong to the family m ≥ 3, because when m changes from m=2 to m=3, the number of extended states decreases significantly. However, for m ≫ 3, the localization properties become similar to the m=2 case. Also, the 〈T〉 frequency averaged transmission coefficient shows a strong dependence from the N system size and from the m value which characterize each m-tupling sequence. In addition, for all m value studied, using the scaling behavior of the ξ (ω) normalized participation number, the R q (ω) Rényi entropies and the μq (ω) moments, we have demonstrated the existence of extended states for certain specific frequencies. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Edmundo Lazo & Eduardo Saavedra & Fernando Humire & Cristobal Castro & Francisco Cortés-Cortés, 2015. "Localization properties of transmission lines with generalized Thue-Morse distribution of inductances," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(9), pages 1-8, September.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:9:p:1-8:10.1140/epjb/e2015-60080-y
    DOI: 10.1140/epjb/e2015-60080-y
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    Solid State and Materials;

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