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Generation of 3rd and 5th harmonics in a thin superconducting film by temperature oscillations and isothermal nonlinear current response
Authors:T.M. Mishonov  N. Chéenne  D. Robbes  J.O. Indekeu
Affiliation:(1) Laboratorium voor Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, 3001 Leuven, Belgium, BE;(2) Department of Theoretical Physics, Faculty of Physics, Sofia University St. Kliment Ohridski, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria, BG;(3) GREYC-Instrumentation, ISMRA, 6 boulevard du Maréchal Juin, 14050 Caen, France, FR
Abstract:The generation of harmonics of the voltage response is considered when an AC current is applied through a superconducting film above Tc. It is shown that almost at all temperatures the mechanism of the temperature oscillations created by the AC current and the temperature dependence of the resistance dominates over the isothermal nonlinear electric conductivity. Only in a narrow critical region close to Tc the latter is essential for the generation of the harmonics. A detailed investigation of harmonics generation provides an accurate method for measuring the thermal boundary conductance between the film and the insulating substrate. The critical behaviour of the third harmonic will give a new method for the determination of the lifetime of metastable Cooper pairs above Tc. The comparison of the calculated fifth harmonics of the voltage with the experiment is proposed as an important test for the applicability of the employed theoretical models. Received 8 September 2001
Keywords:PACS. 74.25.Fy Transport properties (electric and thermal conductivity, thermoelectric effects, etc.) –   74.40.+k Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.) –   74.76.-w Superconducting films
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