https://doi.org/10.1007/s100510050971
Mutual inductance effects in rf driven planar Josephson junctions arrays
Unità INFM Salerno and Facoltà di Scienze,
Via Caio Ponzio Telesino 11,
Università del Sannio, 82100 Benevento, Italy
Unità INFM and Dipartimento di Fisica, Università di
Salerno, 84081 Baronissi (SA), Italy
Unità INFM and
Dipartimento di Energetica, Università di L'Aquila 67010 Località
Monteluco-Roio Poggio (AQ), Italy
Received:
9
November
1998
Revised:
6
April
1999
Published online: 15 November 1999
In this paper we investigate the behavior of moderate
size two-dimensional classical arrays of Josephson junctions in presence
of an external oscillating field. We have included in the model
the effects due to mutual inductance terms, and we have employed
an explicit set of differential
equations. We have found that the discretization parameter 
-
i.e. the coupling term due to the inductance of the loops -is the most
important parameter to determine the height of the Shapiro steps for a
given amplitude and frequency of the rf-bias. The amplitude of the
Shapiro steps in the case of zero frustration as a function of the
coupling term shows a remarkable minimum for intermediate values
when we retain all terms of the full model with mutual inductances,
while the limits for very large and very small values of they are
the same of the single Josephson junction. For the case of frustration
1/2 the Shapiro step becomes smaller in the rigid limit (i.e., small
) as expected for the XY model, and tends to the limit value of
the single junctions for the decoupled case (i.e., large ).
PACS: 85.25.Am – Superconducting device, characterization, design, and modeling / 85.25.Dq – Superconducting logic elements and memory devices
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
