Abstract
Phase locking in a basic two-dimensional Josephson junction array consisting of two coupled SQUIDs is studied exploiting a new method combining the ideas of harmonic balance with the phase-slip procedure. This permits not only including the effect of non-vanishing junction capacitance, but extending our earlier investigations of the same circuit to arbitrary ring inductances, including inductances l ≈ 1 as well. As a result, our earlier finding that only antiphase oscillations can be stable in such a circuit are modified by observing a transition to the in-phase regime for larger values of the junction capacitance. The transition between both regimes is found to be determined by the resonance condition between ring inductance and junction capacitance.
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Basler, M., Krech, W. & Platov, K.Y. Capacitance-induced in-phase switching in a basic two-dimensional Josephson junction array. Zeitschrift für Physik B Condensed Matter 104, 199–205 (1997). https://doi.org/10.1007/s002570050440
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DOI: https://doi.org/10.1007/s002570050440