Dynamics of Josephson-junction ladders

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.459· OSTI ID:5425776

Kim, J ^[1]; Choe, W G; Kim, S ^[2]; Lee, H J ^[1]

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1. Department of Physics, Basic Science Research Institute, Pohang Institute of Science and Technology, Pohang P.O. Box 125, Kyungbuk 790-600 (Korea, Republic of) Division of Basic Science Research, Research Institute of Industrial Science and Technology, Pohang P.O. Box 135, Kyungbuk 790-600 (Korea, Republic of)
2. Department of Physics, Basic Science Research Institute, Pohang Institute of Science and Technology, Pohang P.O. Box 125, Kyungbuk 790-600 (Korea, Republic of)

We have numerically studied dynamical behaviors of Josephson-junction ladders consisting of [ital N][sub [ital p]] plaquettes, where the 2([ital N][sub [ital p]]+1) superconducting islands are coupled by resistively shunted Josephson junctions with negligible capacitance. When a ladder is subjected to a current of the form [ital I][sub dc]+[ital I][sub ac]sin([omega][ital t]) in the [10] direction the dc [ital I]-[ital V] curve, in the presence of a transverse external magnetic field, becomes a devil's staircase for [ital N][sub [ital p]]=1, and exhibits hysteresis and a transition to chaos for [ital N][sub [ital p]][ge]2. We have identified the symmetric state,'' where the phase variables of the junctions satisfy symmetry relations and motion of the system is constrained to the phase space of smaller dimension than the original one. The dynamic behavior of each junction in the ladder depends very sensitively on whether the number of the plaquettes in a ladder is odd or even. However, the averaged dc [ital I]-[ital V] curves of the whole ladders with [ital N][sub [ital p]][ge]3 turn out similar to one another, enabling one to understand the dynamical behavior of a large ladder from that of a three-plaquette ladder.

• OSTI ID: 5425776
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:1; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665412* -- Superconducting Devices-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DYNAMICS
HYSTERESIS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
MATHEMATICAL SPACE
MECHANICS
PHASE SPACE
SPACE
SUPERCONDUCTING JUNCTIONS