14 research outputs found
Effect of Thermal Phase Fluctuations on the Inductances of Josephson Junctions, Arrays of Junctions, and Superconducting Films
We calculate the factor by which thermal phase fluctuations, as distinct from
phase-slip fluctuations, increase the inductance, LJ, of a resistively-shunted
Josephson junction (JJ) above its mean-field value, L0. We find that quantum
mechanics suppresses fluctuations when T drops below a temperature, TQ =
h/kBGL0, where G is the shunt conductance. Examination of the calculated sheet
inductance, LA(T)/L0(T), of arrays of JJ's reveals that 2-D interconnections
halve fluctuation effects, while reducing phase-slip effects by a much larger
factor. Guided by these results, we calculate the sheet inductance,
LF(T)/L0(T), of 2-D films by treating each plasma oscillation mode as an
overdamped JJ. In disordered s-wave superconductors, quantum suppression is
important for LF(0)/LF(T) > 0.14, (or, T/TC0 < 0.94). In optimally doped YBCO
and BSCCO quantum suppression is important for l2(0)/l2(T) > 0.25, where l is
the penetration depth.Comment: 15 pages; 4 figures. Submitted to Physical Review B, May 199