Abstract
The inelastic magnetic scattering of polarized neutrons from thin superconducting films irradiated with microwave radiations is analyzed. This process is due to the interaction of the magnetic field generated by the neutron, with the oscillating current induced by the electromagnetic field penetrated into the film. In the Born approximation, the neutron energy can both increase and decrease by the energy quantum of the microwave field. The scattering cross-section, which is proportional to the square of the supercurrent density in the film, is derived. Results of calculations of the scattering cross-section as a function of both the neutron energy and the field frequency are presented for the superconducting thin films made of the BCS superconductors, cuprate, and iron-based superconductors. Measurements of this cross section give directly the frequency-dependent supercurrents in the films without involving any model concepts.
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Zhang, C., Jin, B., Han, J., Kawayama, I., Murakami, H., Jia, X., Liang, L., Kang, L., Chen, J., Wu, P., Tonouchi, M.: Nonlinear response of superconducting NbN thin film and NbN metamaterial induced by intense terahertz pulses. New J. Phys. 15, 055017 (2013)
Pracht, U.S., Heintze, E., Clauss, C., Hafner, D., Bek, R., Werner, D., Gelhorn, S., Scheffler, M., Dressel, M., Sherman, D., Gorshunov, B., Il’in, K.S., Henrich, D., Siegel, M.: Electrodynamics of the superconducting state in ultra-thin films at THz frequencies IEEE Trans THz. Sci. & Technol. 3, 269 (2013)
Wilke, I., Khazan, M., Rieck, C.T., Kuzel, P., Kaiser, T., Jaekel, C., Kurz, H.: Terahertz surface resistance of high temperature superconducting thin films. J Appl. Phys. 87, 2984 (2000)
Jin, B.B., Kuzel, P., Kadlec, F., Dahm, T., Redwing, J.M., Pogrebnyakov, A.V., Xi, X.X., Klein, N.: Terahertz surface impedance of epitaxial MgB2 thin film. Appl. Phys. Lett. 092503, 87 (2005)
Matsunaga, R., Shimano, R.: Nonequilibrium BCS State dynamics induced by intense terahertz pulses in a superconducting NbN film. Phys. Rev. Lett. 109(187002) (2012)
Aguilar, R.V., Bilbro, L.S., Lee, S., Bark, C.W., Jiang, J., Weiss, J.D., Hellstrom, E.E., Larbalestier, D.C., Eom, C.B., Armitage, N.P.: Pair-breaking effects and coherence peak in the terahertz conductivity of superconducting BaFe2−2xCo2xAs2 thin films. Phys. Rev. B. 82, 180514(R) (2010)
Charnukha, A., Deisenhofer, J., Pröpper, D., Schmidt, M., Wang, Z., Goncharov, Y., Yaresko, A.N., Tsurkan, V., Keimer, B., Loidl, A., Boris, A.V.: Optical conductivity of superconducting Rb2Fe4Se5. Phys. Rev. B. 85, 100504(R) (2012)
Dressel, M.: Electrodynamics of metallic superconductors Advances in condensed matter physics. doi:10.1155/2013/104379 (2013)
Lloyd-Hughes, J., Jeon, T.-I.: A review of the terahertz conductivity of bulk and nano-materials. J. Infrared Milli Terahz Waves (2012). doi:10.1007/s10762-012-9905-y
Likharev, K.K., Semenov, V.K., Zorin, A.B.: IEEE Trans. Magn. MAG-25, 1290 (1989)
Glossner, A., Zhang, C., Kikuta, S., Kawayama, I., Murakami, H., Müller, P., Tonouchi, M.: Cooper pair breakup in YBCO under strong terahertz fields. arXiv: cond-matt/1205.1684
Krupka, J., Wosik, J., Jastrzebski, C., Ciuk, T., Mazierska, J., Zdrojek, M.: Complex conductivity of YBCO films in normal and superconducting states probed by microwave measurements. IEEE Trans. Appl. Supercond. 23, 1501011 (2013)
Mattis D.C., Bardeen, J.: Theory of the anomalous skin effect in normal and superconducting metals. Phys. Rev. 111, 412 (1958)
Pronin, A.V., Pimenov, A., Loidl, A., Krasnosvobodtsev S.I.: Optical conductivity and penetration depth in MgB2. Phys. Rev. Lett. 87, 097003 (2001)
Pimenov, A., Pronin, A.V., Loidl, A., Tsukada, A., Naito, M.: Far-infrared and submillimeter-wave conductivity in electron-doped cuprate La2−xCexCuO4. Europhys. Lett. 64, 246 (2003)
Dew-Hughes D.: The critical current of superconductors: an historical review. Low Temp. Phys. 27, 713 (2001)
Tinkham, M.: Introduction to superconductivity. McGraw-Hill Book Company, Inc. (1975)
Zhang, C., Jin, B., Glossner, A., Kang, L., Chen, J., Kawayama, I., Murakami, H., Müller, P., Wu, P., Tonouchi, M.: Pair-breaking in superconducting NbN films induced by intense THz field. J. Infrared Milli Terahz Waves 33, 1071 (2012)
Raievski, V., Kley, W., Asaoka, T., Blässer, G., Caglioti, G., Haas, R., Kistner, G., Kschwendt, H., Larrimore, J.A., Matthes, W., Misenta, R., Møller, H.B., Quiquemelle, B., Riccobono, G., Rief H., Wundt H.: EUR 1643.e, 51–81 (1964)
Ivanov, A., Jimenez-Ruiz, M., Kulda, J., Fuard, S.: IN1-LAGRANGE on the hot neutron source at ILL: new spectrometer for vibration dynamics in complex materials. Abstracts of dynamics of molecules and materials-II, University of Glasgow (2013)
Pronin, V., Dressel, M., Pimenov, A., Loidl, A., Roshchin I.V., Greene, L.H.: Direct observation of the superconducting energy gap developing in the conductivity spectra of niobium. Phys. Rev. B 57, 14416 (1998)
Fischer, T., Pronin, A.V., Wosnitza, J., Iida, K., Kurth, F., Haindl, S., Schultz, L., Holzapfel, B.: Highly anisotropic energy gap in superconducting Ba(Fe0.9Co0.1)2As2 from optical conductivity measurements. Phys. Rev. B. 82, 224507 (2010)
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Author would like to thank A.S. Ivanov for his interest in the work and for the useful discussions
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Agafonov, A.I. On the Possibility of Neutron Spectroscopy of Microwave Currents in Thin Superconducting Films. J Supercond Nov Magn 27, 2467–2473 (2014). https://doi.org/10.1007/s10948-014-2605-1
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DOI: https://doi.org/10.1007/s10948-014-2605-1