Theory of Shapiro steps in Josephson-junction arrays and their topology
Mark Kvale, S. E. Hebboul
DOI 10.1103/PhysRevB.43.3720 · Physical Review B
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Abstract
A simple theory of Shapiro steps in a Josephson-junction (JJ) array immersed in a magnetic field is presented. It is argued that the system can be regarded as the superposition of a JJ array in zero field and a vortex lattice generated by the magnetic field. The subsystems obey the resistively-shunted-junction equations of motion, and interference effects result in steps at 1/q,2/q,. . . for a filling factor p/q. The exactness of the steps is shown to result from the topological quantization of the order parameter for dissipative systems.
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