Phase-locking in series arrays of Josephson junctions shunted by a complex load

Journal Article · Sat Sep 15 00:00:00 EDT 1990 · Journal of Applied Physics; (USA)

DOI:https://doi.org/10.1063/1.346419· OSTI ID:6380106

Meyer, H; Krech, W ^[1]

---

1. Sektion Physik der Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz, Jena (German Democratic Republic)

The phase-locking in a large series array of Josephson junctions with a finite McCumber parameter shunted by a complex load is studied in the frame of the Stewart--McCumber model. Both the coherent and the incoherent mode are discussed. The influence of weakly time-dependent perturbations on the stability of the phase-locking as well as the optimum operating region are derived in a simple analytical way. The coherent oscillations are nearly sinusoidal and most stable for a bias current something greater than twice the junction critical current and a McCumber parameter of about 0.5; the corresponding oscillation frequency is about twice the junction characteristic frequency. Because of the finite McCumber parameter a complex load is required for the maximum power output given by an eighth of the sum of the single junction characteristic powers. In presence of thermal noise the array shows a second-order phase transition where the coherent mode can be considered as the higher-order phase. The critical temperature is proportional to the junction critical current.

• OSTI ID: 6380106
• Journal Information: Journal of Applied Physics; (USA), Journal Name: Journal of Applied Physics; (USA) Vol. 68:6; ISSN 0021-8979; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

426001* -- Engineering-- Superconducting Devices & Circuits-- (1990-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
MODE LOCKING
NOISE
PERTURBATION THEORY
PHASE TRANSFORMATIONS
SUPERCONDUCTING JUNCTIONS
TEMPERATURE NOISE
TIME DEPENDENCE