2016/06/30 by D. V. Nguyen, D. M. Basko · 5 citations
Mathematics · Physics and Astronomy · #Chain (unit) #Computer science #Condensed matter physics #Electrical impedance #Geometry #Homogeneous #Inductance #Josephson effect #Mathematics #Parameter space #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Space (punctuation) #Statistical physics #Superconductivity #Voltage #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjst/e2016-60278-4
published in The European Physical Journal Special Topics 226(7), 1499-1514 (Springer Science+Business Media) · 10 pages, 10 figures
openalex created_date 2016/06/24 · openalex publication_date 2017/05/01 · arxiv created 2017/05/27 · arxiv updated 2017/05/30 · openalex updated_date 2026/08/05
We report a theoretical study of the low-frequency impedance of a Josephson junction chain whose parameters vary in space. Our goal is to find the optimal spatial profile which maximizes the total inductance of the chain without shrinking the low-frequency window where the chain behaves as an inductor. If the spatial modulation is introduced by varying the junction areas, we find that the best result is obtained for a spatially homogeneous chain, reported earlier in the literature. An improvement over the homogeneous result can be obtained by representing the junctions by SQUIDs with different loop areas, so the inductances can be varied by applying a magnetic field. Still, we find that this improvement becomes less important for longer chains.