Low Temperature Physics: 43, 658 (2017); https://doi.org/10.1063/1.4985986
Физика Низких Температур: Том 43, Выпуск 6 (Июнь 2017), c. 828-834    ( к оглавлению , назад )

Embedded soliton dynamics in the asymmetric array of Josephson junctions

Ivan О. Starodub and Yaroslav Zolotaryuk

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine 14b vul. Metrologichna, Kyiv 03680, Ukraine
E-mail: starodub@bitp.kiev.ua; yzolo@bitp.kiev.ua

Received July 29, 2016


The dc-biased annular array of three-junction asymmetric superconducting quantum interference devices (SQUIDs) is investigated. The existence of embedded solitons (solitons that exist despite the resonance with the linear waves) is demonstrated both in the unbiased Hamiltonian limit and in the dc-biased and damped case on the current-voltage characteristics (CVCs) of the array. The existence diagram on the parameter plane is constructed. The signatures of the embedded solitons manifest themselves as inaccessible voltage intervals on the CVCs. The upper boundary of these intervals is proportional to the embedded soliton velocity.

PACS: 05.45.Yv Solitons;
PACS: 63.20.Ry Anharmonic lattice modes;
PACS: 05.45.–a Nonlinear dynamics and chaos;
PACS: 03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations.

Ключевые слова: superconducting quantum interference devices, current-voltage characteristics (CVCs), Josephson junctions.

Published online: April 25, 2017