Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

Absorption Spectra and Level Spacing Statistics in a Ternary Alloy With an Ornstein–uhlenbeck Disorder Distribution

“…We emphasize that the existence or nonexistence of a phase transition in ternary models with correlated disorder represents a interesting and controversial issue 45,[59][60][61] with considerable interest from the experimental and theoretical point of view. The possibility to generate real systems with a ternary correlated disorder can be a possible tools to compare theory and experiment procedures and also allows designing new materials with adjustable properties.…”

“…In general, previous works about correlated disorder were done considering systems in which the site energies are uniformly distributed in a¯nite range ½ÀW ; W . Some authors 44,45,[59][60][61] have considered models where the onsite energy can assume two or three di®erent values i.e., the binary and ternary models, respectively. In particular, the Anderson model with long-range correlated disorder chosen as a ternary sequence was studied in Ref.…”

“…45 The e®ect of long-range correlations in the sequence of capacitances of classical transmission lines (TL) has been studied by Lazo and Diez. 59,60 To generate the ternary correlated distribution of capacitances it was used the Fourier¯ltering method 59 and also the Ornstein-Uhlenbeck (OU) process. 60 In both cases, it was observed a transition from nonconducting to conducting state of the TL induced by strong correlations.…”

“…59,60 To generate the ternary correlated distribution of capacitances it was used the Fourier¯ltering method 59 and also the Ornstein-Uhlenbeck (OU) process. 60 In both cases, it was observed a transition from nonconducting to conducting state of the TL induced by strong correlations. More recently, a 1d classical ternary harmonic chain with the mass distribution constructed from an OU process was studied.…”

“…The authors concluded that only the zero frequency mode can propagate through the chain, thus contradicting previous works. 45,59,60 Moreover, the e®ect of correlated disorder on the optical spectroscopy properties 62-68 is a key problem in the context of condensed matter physics. Usually, it is well-known that the optical spectroscopy fails in detecting localization-delocalization transitions.…”