Theory of phase locking in small Josephson-junction cells

M. Basler; W. Krech; K. Yu. Platov

doi:10.1103/PhysRevB.52.7504

← Back to search

Theory of phase locking in small Josephson-junction cells

M. Basler, W. Krech, K. Yu. Platov

DOI 10.1103/PhysRevB.52.7504 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

Within the resistively shunted junction (RSJ) model, we performed a theoretical analysis of phase locking in elementary strongly coupled Josephson-junction cells. For this purpose, we developed a systematic method allowing the investigation of phase-locking in cells with small but nonvanishing loop inductance. The voltage across the junctions are found to be locked with very small phase difference for almost all values of external flux. However, the general behavior of phase locking is found to be just contrary to that according to weak coupling. In case of strong coupling there is nearly no influence of external magnetic flux on the phases, but the locking frequency becomes flux dependent. The influence of parameter splitting is considered as well as the effect of small capacitive shunting of the junctions. Strongly coupled cells show synchronization even for large parameter splitting. Finally, a study of the behavior under external microwave radiation shows that the frequency-looking range becomes strongly flux dependent, whereas the locking frequency itself turns out to be flux independent.