Pinned states in Josephson arrays: A general stability theorem
Mauricio Barahona, Steven H. Strogatz
DOI 10.1103/PhysRevB.58.5215 · 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
Using the lumped circuit equations, we derive a stability criterion for superconducting pinned states in two-dimensional arrays of Josephson junctions. The analysis neglects quantum, thermal, and inductive effects, but allows disordered junctions, arbitrary network connectivity, and arbitrary spatial patterns of applied magnetic flux and dc current injection. We prove that a pinned state is linearly stable if and only if its corresponding stiffness matrix is positive definite. This algebraic condition can be used to predict the critical current and frustration at which depinning occurs.
Similar papers
Pinned states in Josephson arrays: A general stability theorem
similarity 0.90Mauricio Barahona & Steven H. Strogatz · 1998 · arXiv:cond-mat/9805405
Source status unknown — claims are unverified
Magnetic field effects in Josephson networks
similarity 0.89Joseph P. Straley
Source status unknown — claims are unverified
Two-dimensional Josephson junction arrays with dc drives: The fixed-point regime
similarity 0.89Shantilal Das et al.
Source status unknown — claims are unverified
Topological invariance of superconducting arrays
similarity 0.88M. Y. Choi
Source status unknown — claims are unverified
Ground-state properties of charge and magnetically frustrated two-dimensional quantum Josephson junction arrays
similarity 0.87T. K. Kopeć & T. P. Polak
Source status unknown — claims are unverified