Phase roughening transition in Josephson-junction ladders in random magnetic fields
Jin Min Kim, Sung Jong Lee
DOI 10.1103/PhysRevB.50.13829 · Physical Review B
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Abstract
The dynamics of one-dimensional arrays of parallel coupled Josephson-junction ladder arrays in a random magnetic field is described. The fluctuation of superconducting phase difference becomes constant above the roughening transition current Ic2, and grows linearly in time for Ic1<I<Ic2, where Ic1 is the usual critical current separating zero voltage and finite voltage regimes. The characteristic time t*(I) diverges as (Ic2-I)−γ when I approaches Ic2 from below. The discontinuity of dV/dI at Ic2 and the absence of hysteresis above Ic2 in I-V curve are also discussed.
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