Effect of Thermal Phase Fluctuations on the Inductances of Josephson Junctions, Arrays of Junctions, and Superconducting Films

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 = 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.

15 pages; 4 figures. Submitted to Physical Review B, May 1999

References in corpus (4)

• Classical Phase Fluctuations in High Temperature Superconductors
• 3D-XY critical fluctuations of the thermal expansivity in detwinned YBa2Cu3O7-d single crystals near optimal doping
• Anomalous Charge Dynamics in the Superconducting State of Underdoped Cuprates
• Systematics of two-component superconductivity in $YB{a}_{2}C{u}_3{O}_{6.95}$ from microwave measurements of high quality single crystals

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• Dynamic Impedance of Two-Dimensional Superconducting Films Near the Superconducting Transition
• Experimental implications of quantum phase fluctuations in layered superconductors
• Superfluid density in Bi2Sr2CaCu2O8+x from optimal doping to severe underdoping and its implications