Simulation of I-V curves of small Josephson tunnel junctions with finite capacitance

Journal Article · Mon Jun 01 04:00:00 EDT 1981 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.329224· OSTI ID:6266446

Prober, D E; Slusky, S E.G.; Henry, R W; Jackel, L D

Results of digital and analog simulations of the I-V characteristics of small Josephson tunnel junctions are presented for a variety of cases, and are compared with the recent experimental results of Howard et al. (Appl. Phys. Lett. 35, 879 (1979)) on small-area, high-current-density junctions. The lumped-circuit-element model of Stewart and McCumber with an adjustable nonlinear quasiparticle conductance and various capacitance values is employed. The value of junction capacitance inferred from the digital simulation for a 10/sup -9/-cm/sup 2/ junction is 9 x 10/sup -15/ F. This represents a normalized capacitance ..beta../sub c/ = 0.3 for the junction considered, which had a critical current density roughly-equal10/sup 5/ A/cm/sup 2/. The inferred capacitance is in agreement with the value extrapolated from previous experimental results. Both digital and analog simulations result in I-V curves which show a previously unreported crossing of the quasiparticle and total current curves. This crossing is due to an averaging in time of the voltage across the nonlinear quasiparticle-conductance channel. The crossing is not seen in the experimental results of Howard et al. Differences between the experimental and simulated I-V curves are discussed.

• Research Organization: Becton Center, Department of Engineering and Applied Science, Yale University, New Haven, Connecticut 06520
• OSTI ID: 6266446
• Journal Information: J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 52:6; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

420201* -- Engineering-- Cryogenic Equipment & Devices
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALOG COMPUTERS
CAPACITORS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
COMPUTERS
CURRENT DENSITY
CURRENTS
DIGITAL COMPUTERS
ELECTRIC CONDUCTIVITY
ELECTRIC CURRENTS
ELECTRIC POTENTIAL
ELECTRICAL EQUIPMENT
ELECTRICAL PROPERTIES
ELECTRONIC CIRCUITS
EQUIPMENT
EQUIVALENT CIRCUITS
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
SIMULATION
SUPERCONDUCTING JUNCTIONS
TUNNEL EFFECT