Row-switched states in two-dimensional underdamped Josephson-junction arrays
Mauricio Barahona, Shinya Watanabe
DOI 10.1103/PhysRevB.57.10893 · Physical Review B
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
When magnetic flux moves across layered or granular superconductor structures, the passage of vortices can take place along channels which develop finite voltage, while the rest of the material remains in the zero-voltage state. We study analytically an example of such mixed dynamics: the row-switched (RS) states in underdamped two-dimensional Josephson arrays, driven by a uniform dc current under external magnetic field but neglecting self-fields. The governing equations are cast into a compact differential-algebraic system which describes the dynamics of an assembly of Josephson oscillators coupled through the mesh current. We carry out a formal perturbation expansion, and obtain the dc and ac spatial distributions of the junction phases and induced circulating currents. We also estimate the interval of the driving current in which a given RS state is stable. All these analytical predictions compare well with our numerics. We then combine these results to deduce the parameter region (in the damping coefficient vs magnetic-field plane) where RS states cannot exist.
Similar papers
Dynamics of row-switched states in Josephson-junction arrays
similarity 0.95J. R. Phillips et al.
Source status unknown — claims are unverified
Row-switched states in two-dimensional underdamped Josephson junction arrays
similarity 0.92Mauricio Barahona & Shinya Watanabe · 1997 · arXiv:cond-mat/9710204
Source status unknown — claims are unverified
Critical currents for vortex defect motion in superconducting arrays
similarity 0.91Jong Soo Lim et al.
Source status unknown — claims are unverified
Magnetic Field Driven Quantum Phase Transitions in Josephson Arrays
similarity 0.89J. Paramanandam et al. · 2011 · arXiv:1112.6377
Source status unknown — claims are unverified
Field-induced superconductor-to-insulator transitions in Josephson-junction arrays
similarity 0.89H. S. J. van der Zant et al.
Source status unknown — claims are unverified
Mean-field theory for Josephson junction arrays with charge frustration
similarity 0.89G. Grignani et al.
Source status unknown — claims are unverified