2024/12/10 by Daryna Bukatova, Bukatova, Daryna, Ivan O. Starodub +3
Engineering · #Advanced Electrical Measurement Techniques #FOS: Physical sciences #Optical Network Technologies #Superconductivity (cond-mat.supr-con)
paper · pdf · doi:10.48550/arxiv.2412.07071
openalex publication_date 2024/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper theoretical analysis of the ladder-like multirow array of inductively coupled Josephson junctions is presented. An external dc current is applied at the top to each of the columns of the array and is extracted at the bottom of that column. The density of states of the Josephson plasma waves has a δ-function term due to the flat band and 3N-2 singularities where N is the number of rows. The spatial distribution of the amplitudes of the plasmon wave is computed analytically for any given value of the wavenumber q. It is expressed through the orthogonal polynomials that are similar but not identical to the Chebyshev polynomials.