TY - JOUR
T1 - Localization properties of transmission lines with generalized Thue-Morse distribution of inductances
AU - Lazo, Edmundo
AU - Saavedra, Eduardo
AU - Humire, Fernando
AU - Castro, Cristobal
AU - Cortés-Cortés, Francisco
N1 - Publisher Copyright:
© 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
PY - 2015/9/2
Y1 - 2015/9/2
N2 - We study the localization properties of direct transmission lines when we distribute twovalues of inductances LA and LB according to a generalized Thue-Morse aperiodic sequence generated by the inflation rule: A → ABm−1, B → BAm−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 decreasessignificantly. 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 andfrom the m value which characterize each m-tupling sequence. In addition, for all m value studied, usingthe scaling behavior of the ξ (ω) normalized participation number, the Rq (ω) Rényi entropies and the μq (ω) moments, we have demonstrated the existence of extended states for certain specific frequencies.
AB - We study the localization properties of direct transmission lines when we distribute twovalues of inductances LA and LB according to a generalized Thue-Morse aperiodic sequence generated by the inflation rule: A → ABm−1, B → BAm−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 decreasessignificantly. 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 andfrom the m value which characterize each m-tupling sequence. In addition, for all m value studied, usingthe scaling behavior of the ξ (ω) normalized participation number, the Rq (ω) Rényi entropies and the μq (ω) moments, we have demonstrated the existence of extended states for certain specific frequencies.
KW - Solid State and Materials
UR - https://www.scopus.com/pages/publications/84940666938
U2 - 10.1140/epjb/e2015-60080-y
DO - 10.1140/epjb/e2015-60080-y
M3 - Article
AN - SCOPUS:84940666938
SN - 1434-6028
VL - 88
JO - European Physical Journal B
JF - European Physical Journal B
IS - 9
M1 - 216
ER -