Effect of thermal phase fluctuations on the inductances of Josephson junctions, arrays of junctions, and superconducting films
Thomas R. Lemberger, Aaron A. Pesetski, Stefan J. Turneaure
DOI 10.1103/PhysRevB.61.1483 · Physical Review B
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Abstract
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=ħ/kBGL0, where G is the shunt conductance. Examination of the calculated sheet inductance LA(T)/L0(T) of arrays of JJ’s reveals that two-dimensional (2D) 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 2D 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 λ2(0)/λ2(T)>0.25, where λ is the penetration depth.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBCO Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| BSCCO Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| MoGe Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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