年間 12 号発行
ISSN 印刷: 0040-2508
ISSN オンライン: 1943-6009
Indexed in
MICROWAVE RADIO PHYSICS OF UNCONVENTIONAL SUPERCONDUCTORS
要約
The paper presents a review of main results obtained by the authors in the process of microwave (MW) investigations on unconventional superconductors and developments of MW devices based on cuprate high-temperature superconductors (HTS) carried out over the course of the past 10-15 years. Experimental investigations were carried out by the methods of impedance measurements of superconductor samples. For this purpose the authors have developed two measuring techniques in the mm wavelength range: on the base of quasioptical sapphire resonators and using a feature of the polarized wave p-field reflection from the superconductor surface at a grazing angle of incidence. Epitaxial films of the YBa2Cu3O7–δ cuprate superconductor and Fe-containing superconductors in the form of Ba(Fe0.926Co0.074)2As2 pnictide single crystals and FeSexTe1–x (x = 0.5 and 0.7) chalcogenide epitaxial films have been investigated. The results of the MW response of electrodynamic structures with the investigated samples were used as a base for finding the complex conductivity including the fluctuation one. In general, the results obtained confirm the scenario of the slit function d-wave symmetry for cuprate superconductors and s-wave symmetry for Fe-based superconductors. However, further investigations are required as there is a number of features and effects, namely: abnormal frequency dependence of the residual surface resistance in YBa2Cu3O7–δ in the form of ω3./2, increase of the quasi-particle conductivity with temperature decreasing after the critical one and avalanche-like transition from the superconducting state to the strongly dissipative state in the coplanar transmission line. New MW devices based on cuprate HTS films in the mm wave range 1) quasioptical sapphire resonator with radial slit and HTS end walls for investigation of Fe-based superconductors in the mm wave range: 1) quasioptical sapphire resonator with a radial slit and HTS end walls for investigation of Fe-based superconductors in the form of small (1-2 mm in the a-b plane) samples; 2) quasioptical planar resonator; 3) band-pass filter with an E-plane insertion in the cross-type waveguide. A possibility of noncontact testing the homogeneity properties of massive superconductors at room temperature is shown. The temperature dependence of the complex conductivity of YBa2Cu3O7-(Ba (Fe0.926Co0.074)2As2 and FeSexTe1-x (x = 0.5 and 0.7) superconductors as well as the corresponding physical quantities have been obtained, that enables one to judge about the evidence of relevant scenarios of the wave symmetry in the slit function of investigated superconductors. However, a number of revealed features and effects require further study. A possibility of developing large-scale MW HTS-based devices operating at frequencies up to 40 GHz was experimentally confirmed.
-
Cherpak, N., Barannik, A., He, Y., Sun, L. et al., (2018) , Microwave Surface Impedance and Complex Conductivity of Ba(Fe0.926Co0.074)2As2 Single Crystals, 12th Int. Conf. Materials and Mechanisms of Superconductivity and High-Temperature Superconductivity (M2S-2018), Abstract Book Beijing, China, 20-24 August,312.
-
Kordyuk, A.A., (2018) , Electronic band structure of optimal superconductors: from cuprates to ferropnictides and back again, Low Temp. Phys., 44(6), pp. 477-486. DOI: https://doi.org/ 10.1063/1.5037550
-
Ma, Y., (2018) , Recent progress in the development of Fe-based superconducting wires and tapes, 12th Int. Conf. Materials and Mechanisms of Superconductivity and High-Temperature Superconductivity (M2S-2018), Abstract Book, Beijing, China, 20–24 August, p. 176.
-
Barannik, A., Cherpak, N., Kirichenko, A., Prokopenko, Y. et al., (2017) , Whispering gallery mode resonators in microwave physics and technologies, Int. J. Microw. Wirel. T., 9(4), pp. 781-796. DOI: https://doi.org/10.1017/S1759078716000787
-
Cherpak, N.T., Barannik, A.A., Prokopenko, Yu.V., Filipov, Yu.F, and Vitusevich, S., (2003) , Accurate Microwave Technique of Surface Resistance Measurement of Large-area HTS Films using Sapphire Quasioptical Resonator, IEEE Trans. on Appl. Supercon., 13(2) pp. 3570-3573. DOI: http://dx.doi.org/10.1109/TASC. 2003.812400
-
Barannik, A.A., Bunyaev, S.A., Cherpak, N.T., Prokopenko, Yu.V. et al., (2010) , Whispering gallery mode hemisphere dielectric resonators with impedance plane, IEEE Trans. Microwave Theory Tech., 58(10), pp. 2682-2691. DOI: https:// doi.org/10.1109/TMTT.2010.2065870
-
Barannik, A.A., Bunyaev, S.A., Cherpak, N.T., and Vitusevich, S.A., (2008) , Quasi-Optical Sapphire Resonators in the Form of a Truncated Cone, J. Lightwave Technol., 26(17), pp. 3118-3123. DOI: https://doi.org/ 10.1109/JLT.2008.925039
-
Barannik, A.A., Cherpak, N.T., Torokhtiy, K.I., and Vitusevich, S., (2011) , Slotted-Disk Sapphire Quasi-Optical Resonator with Conducting Endplates, Proceedings of the 41st European Microwave Conference (EuMC 2011), Manchester, UK, 12–14 Oct., pp. 830-833.
-
Hein, M., (1992) , High-Temperature-Superconductor thin Films at Microwave Frequencies, Berlin: Springer.
-
Wu, P.H. and Min, Q., (1992) , Calculations of the microwave conductivity of high-TC superconducting thin films from power transmission measurements, J. Appl. Phys., 71(11), pp. 5550-5553. DOI: https://doi.org/ 10.1063/1.350530
-
Somal, H.S., Feenstra, B.J., Schützmann, J., Hoon Kim, J., et al., (1996), Grazing incidence infrared reflectivity of La1.85Sr0.15CuO<sub>4</sub> and NbN. Phys. Rev. Lett., 76(9), pp. 1525-1528. DOI: https://doi.org/10.1103/PhysRevLett. 76.1525
-
Cherpak, N.T., Gubin, A.I., and Lavrinovich, A.A., (2001) , Microwave Reflectivity of HTS Film, Telecommunications and Radio Engineering, 55(3), pp.81-89. DOI: http://dx.doi.org/10.1615/ TelecomRadEng.v55.i3.120
-
Gubin, A.I., Lavrinovich, A.A., and Cherpak, N.T., (2001) , Microwave-band reflection coefficient of high-temperature superconductor specimens in E-plane waveguide structures, Tech. Phys. Lett., 27(4), pp. 336-337. DOI: https://doi.org/10.1134/1.1370219
-
Hein, M., Kaiser, T., and Muller, G., (2000) , Surface resistance of epitaxial YBa2Cu3O7−x films on various substrates: Effects of pair condensation and quasipar-ticle scattering, Phys. Rev. B, 61(1), pp. 640-647. DOI: https://doi.org/10.1103/PhysRevB.61.640
-
Hensen, S., Müller, G., Rick, C.T., and Shamberg, K., (1997) , In-plane surface impedance of epitaxial YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−δ</sub> films: Comparison of experimental data taken at 87 GHz with d- and s-wave models of superconductivity, Phys. Rev. B, 56(10), pp. 6237-6264. DOI: https://doi.org/10.1103/PhysRevB.56.6
-
Pan, V.M., Kalenyuk, O.A., Kasatkin, O.L., Komashko, V.A. et al., (2006), Microwave response of single crystal YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−δ</sub> films as a probe for pairing symmetry, Low Temp. Phys., 32(4), pp. 497- 504. DOI: https://doi.org/10.1063/ 1.2199453
-
Harris, R., Turner, P.J., Kamal Saeid, Hosseimi, A.R., Dosaujh, P. et al., (2006) , Phenomenology of a-axis and b-axis charge dynamics from microwave spectroscopy of highly ordered YBa<sub>2</sub>Cu<sub>3</sub>O<sub>6.50</sub> and YBa<sub>2</sub>Cu<sub>3</sub>O<sub>6.993</sub>, Phys. Rev. B, 74(10), pp. 104508(16 p.). DOI: https://doi.org/10.1103/PhysRevB.74.104508
-
Trunin, M.R., Nefyodov, Y.A., and Fink, H.J., (2000) , Phenomenological description of the microwave surface impedance and complex conductivity of high-Tc single crystals, J. Exp. Theor. Phys., 91(4), pp. 801-816. DOI: https://doi.org/10.1134/1.1326973
-
Barannik, A.A., Bunyaev, S.A., and Cherpak, N.T., (2008) , On the low-temperature microwave response of a YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−δ</sub> epitaxial film determined by a new measurement technique, Low Temp. Phys., 34(12), pp. 977-981. DOI: https://doi.org/10.1063/1.3029749
-
Hosseini, A., Harris, R., Kamal, S., Dosanjh, P. et al., (1999) , Microwave spectroscopy of thermally excited quasiparticles in YBa<sub>2</sub>Cu<sub>3</sub>O<sub>6.99</sub>, Phys. Rev. B, 60(2), pp. 1349-1359. DOI: https://doi.org/10.1103/PhysRevB. 60.1349
-
Harris, R., Hosseini, A., Kamal, S., Dosanjh, P. et al., (2001) , Microwave spectroscopy of quasiparticle transport in the b direction of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>6.993</sub>, Phys. Rev. B, 64(6), p. 064509. DOI: https://doi.org/ 10.1103/PhysRevB.64. 064509
-
Klein, N., (2000) , Electrodynamic properties of oxide super-conductors, Berichte des Forschungzentrums Jülich. Juel-3773, p. 101.
-
Barannik, A.A., Cherpak, N.T., Kharchenko, M.S., Semerad, R., and Vitusevich, S., (2013) , Surface impedance of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−δ</sub> films grown on MgO substrate as a function of film thickness. J. Supercond. Novel Magn., 26(1), pp. 43-48. DOI: https://doi.org/10.1007/s10948-012-1695-x.
-
Barannik, A.A, Cherpak, N.T., Tanatar, M.A., Vitusevich, S. et al., (2013) , Millimeter-wave surface impedance of optimally-doped Ba(Fe<sub>1−x</sub>Co<sub>x</sub>)<sub>2</sub>As<sub>2</sub> single crystals, Phys. Rev. B, 87(1), pp. 014506 (7 p.). DOI: https://doi.org/10.1103/PhysRevB.87.014506
-
Cherpak, N.T., Barannik, A.A., Prozorov, R., Tanatar, M.A. et al., (2013) , On the determination of the quasiparticle scattering rate in unconventional superconductors by microwave surface impedance, Low Temp. Phys., 39(12), pp. 1110-1112. DOI: https:// doi.org/10.1063/1.4830422
-
Valdés Aguilar, R., Bilbro, L.S., Lee, S., Bark, C.W. et al., (2010) , Pair-breaking effects and coherence peak in the terahertz conductivity of superconducting BaFe<sub>2−2x</sub>Co<sub>2x</sub>As<sub>2</sub> thin films, Phys. Rev. B, 82(18), pp. 180514 (4 p.). DOI: https://doi.org/ 10.1103/PhysRevB.82.180514
-
Fischer, T., Pronin, A.V., Wosnitza, J., Iida, K. et al., (2010) , Highly anisotropic energy gap in supercon-ducting Ba(Fe<sub>0.9</sub>Co<sub>0.1</sub>)<sub>2</sub>As<sub>2</sub> from optical conductivity measurements, Phys. Rev. B, 82(22), p. 224507. DOI: https://doi.org/10.1103/PhysRevB.82.224507
-
Ghigo, G., Gerbaldo, R., Gozzelino, L., Laviano, F., and Tamegai, T., (2016) , Penetration Depth and Quasiparticle Conductivity of Co- and K-Doped BaFe2As2Crystals, Investigated by a Microwave Coplanar Resonator Technique, IEEE Trans. Appl. Surercond., 26(3), article 7300104. DOI: https://doi.org/10.1103/PhysRevB. 82.224507.
-
Barannik, A.A., Cherpak, N.T., Ni, N., Tanatar, M.A., Vitusevich, S.A. et al., (2011) , Millimeter-wave study of London penetration depth temperature dependence in Ba(Fe<sub>0.926</sub>Co<sub>0.074</sub>)<sub>2</sub>As<sub>2</sub> single crystal, Low Temp. Phys., 37(11), pp. 725-728. DOI: https://dx.doi.org/10.1063/1.3660321
-
Cherpak, N.T., Barannik, A.A., He, Y.-S., Prozorov, R., and Tanatar, M., (2013) , Microwave response, complex conductivity and effect of order parameter symmetry in Fe-based superconductors, Proc. of the Int. Kharkov Symp. Physics and Engineering of Microwaves, Millimeter and Sub-Millimeter waves (MSMW-2013), Kharkiv, Ukraine, 163-168. DOI: https://doi.org/10.1109/MSMW.2013.6622174
-
Prozorov, R. and Kogan, V.G., (2011) , London penetration depth in iron-based superconductors, Rep. Prog. Phys., 74(12), pp. 124505 (20 p.). DOI: http://dx.doi.org/ 10.1088/0034-4885/74/12/124505
-
Barannik, A.A., Cherpak, N.T., Kharchenko, M.S., Wu, Yun et al., (2014) , Unusual microwave response and bulk conductivity of very thin FeSe<sub>0.3</sub>Te<sub>0.7</sub> films as a function of temperature, Low Temp. Phys., 40(7), pp. 492-504. DOI: http://dx.doi.org/10.1063/1.4881178
-
Cherpak, N.T., Barannik, A.A., He, Y.-S., Sun, L. et al., (2018) , On Nature of Microwave Response of the Resonator with Thin FeSe<sub>1–x</sub>Te<sub>x</sub> Film near Critical Temperature, IEEE Trans. Appl. Supercond., 28(4), pp. 1501104. DOI: https://doi.org/10.1109/TASC.2018.2804095
-
Barannik, A.A., Cherpak, N.T., He, Y.-S., Sun, L. et al., (2018) , Microwave response of cavity resonator with thin superconductor film depending on film temperature and orientation, Low Temp. Phys., 44(3), p. 247-251. DOI: https:// doi.org/10.1063/1.5024545
-
Cherpak, N.T., Gubin, A.I, and Lavrinovich, A.A., (2007) , Rectangular microwaveguide with high-TC superconducting wall, Proc. Int. Kharkov Symp. Physics and Engineering of Millimeter and Sub- millimeter Waves (MSMW-2007), Kharkov, Ukraine, pp. 392-394. DOI: https://doi.org/10.1109/ MSMW.2007.4294673
-
Silva, E., Marcon, R., Sarti, S., Fastampa, R., Giura, M., and Cucolo, A.M., (2002) , Microwave fluctuational conductivity in YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7–δ</sub> , Eur. Phys. J. B, 37(3), pp. 277-284. DOI: http://dx.doi.org/10.1140/epjb/e2004-00057-5
-
Silva, E., Marcon, R., Fastampa, R., Giura, M., and Sarti, S., (2003) , High-Frequency Fluctuational Conductivity in YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7–δ</sub>, J. Low Temp. Phys., 131(5–6), pp. 831-835. DOI: https://doi.org/10.1023/A:1023479010670
-
Gubin, A.I., Cherpak, N.T., Lavrinovich, A.A., and Oganisian, K.V., (2007), Temperature dependence of the microwave conductivity of a YBCuO film in the normal state, Low Temp. Phys., 33(10), pp. 818-820. DOI: https://doi.org/10.1063/1.2746852
-
Cherpak, N.T. and Velichko, A.V., (2000) , High-Temperature Superconductor in microwave technique (review), Usp. Sovremennoy Radioelektroniki, 4, pp. 3-47, (in Russian).
-
Vendik, I.O. and Vendik, O.G., (1997) , High-Temperature Superconductor Devices for Microwave Signal Processing, St.-Petersburg, Russia: ТОО Skladen Publ. Part 1, (in Russian).
-
Oates, O.D.E., Agassi, D., Wong, E., Leese de Escobar, A., and Irgmaier, K., (2008) , Nonlinear Meissner effect in a high-temperature superconductor: Local versus nonlocal electrodynamics, Phys. Rev. B, 77(21), pp. 214521 (8 p.). DOI: http://dx.doi.org/10.1103/PhysRevB. 77.214521
-
Halbritter, J., (1970) , Change of eigenstate in a superconducting RF cavity due to a nonlinear response, J. Appl. Phys., 41(11), pp. 4581-4588. DOI: https://doi.org/ 10.1063/1.1658500
-
Hartwig, W.H., (1973) , Superconducting resonator and devices, Proc. IEEE, 61(1), pp. 58-69. DOI: https:// doi.org/10.1109/PROC.1973.8971
-
Velichko, A.V. and Cherpak, N.T., (1998) , Response of high-temperature superconductors to electromagnetic radiation: (A Review), Low Temp. Phys., 24(5), pp. 297-323. DOI: https://doi.org/10.1063/1.593592
-
Gaidukov, M.M., Vendik, O.G., and Kolesov, S.G., (1990) , Microwave power limiter based on high Tc superconducting film, Electron. Lett., 26(16), pp. 1229-1230. DOI: http://dx.doi.org/10.1049/ el:19900792
-
Bondarenko, I.N. and Lavrinovich, А.А., (2007) , Investigation thin-film high temperature superconductivity coplanar line, Telecommunications and Radio Electronics, 66(7), pp. 597-605.
-
Lavrinovich, A.A., Khramota, E.V., and Cherpak, N.T., (2009) , Investigation of the superconducting microwave transmission line in strong electromagnetic fields, Telecommunications and Radio Engineering, 68(19), pp. 1741-1750.
-
Cherpak, N.T., Lavrinovich, A.A., Kalenyuk, A.A., Pan, V.M. et al., (2010), DC-biased coplanar waveguide on the basis of high-Tc superconducting thin film with nonlinear impedance, Telecommunications and Radio Engineering, 69(15), pp. 1357-1364. DOI: 10.1615/TelecomRadEng.v69.i15.40
-
Booth, J.C., Rudman, D.A., and Ono, R.H., (2003) , A Self-Attenuating Superconducting Transmission Line for Use as a Microwave Power Limiter, IEEE Trans. Appl. Supercond., 13(2), pp. 305-310. DOI: https://doi.org/ 10.1109/TASC.2003.813716
-
Cherpak, N.T., Lavrinovich, A.A., Gubin, A.I., and Vitusevich, S.A., (2014) , Direct-current-assisted microwave quenching of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7–δ</sub> coplanar waveguide to a highly dissipative state, Appl. Phys. Lett., 105(2), pp. 022601 (3 p.). DOI: https://doi.org/10.1063/1.4890123
-
Cherpak, N.T., Gubin, A.I., Lavrinovich, A.A., and Vitusevich, S.A., (2016) , Microwave quenching in DC-biased coplanar waveguide based on YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7–δ</sub> thin film, IEEE Trans. on Appl. Supercond., 26(3), pp. 1501204. DOI: https://doi.org/10.1109/TASC.2016. 2537138
-
Ruibal, M., Ferro, G., Osorio, M.R., Maza, J. et al., (2007) , Size effects on the quenching to the normal state of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7–δ</sub> thin-film superconductors, Phys. Rev. B, 75(1), pp. 012504 (4 p.). DOI: https://doi.org/10.1103/PhysRevB.75.012504
-
Wu, Y., Cui, B., Luo, S., Jiang, X. et al., (2013) , A Unique Ka-Band Measurement System Based on Quasi-Optical Dielectric Resonator Technology for Studying Small Superconducting Samples, IEEE Trans. on Appl. Supercond., 23(3), pp. 9000204. DOI: https://doi.org/10.1109/TASC.2012.2233836
-
Skresanov, V.N., Glamazdin, V.V., and Cherpak, N.T., (2011) , The novel approach to coupled modes parameters recovery from microwave resonator amplitude-frequency response, Proceedings of the 41st European Microwave Conference (EuMC 2011), Manchester, UK, 12–14 Oct., pp. 830-833. DOI: https://doi.org/10.23919/EuMC.2011.6101922
-
Surzhenko, A.B., Schauroth, S., Litzkendorf, D., Zeisberger, M. et al., (2001) , Growth-related profiles of remanent flux in bulk melt-textured YBaCuO crystal magnetized by pulsed fields, Supercond. Sci. Technol. 14(9), pp. 770-775. DOI: https://doi.org/10.1088/0953-2048/14/9/328
-
Chiang, C.H., Yang, C.W., Hsieh, P.L., and Chan, W.C., (2003) , Levitation Force Measurement at Different Temperatures for YBCO Superconductor, J. Low Temp. Phys., 131(3–4), pp. 743-746. DOI: https://doi.org/ 10.1023/A:1022925419581
-
Cherpak, N.T., Gubin, A.I., Lavrinovich, A.A., Gawalek, W. et al., (2004), Microwave bulk properties of melt-textured high-T<sub>C</sub> YBa<sub>2</sub>Cu<sub>3</sub>O7<sub>7–δ</sub> superconductors, Supercond. Sci. Technol., 17(4), pp. 645- 648. DOI: https://doi.org/10.1088/0953-2048/ 17/4/013
-
Cherpak, N.T., Gawalek, W., Golubnichaya, G.V., Gubin, A.I. et al., (2002) , High-frequency absorption in melt-textured high-Tc YBaCuO superconductors, Physica C, 372-376(pt. 2), pp. 1123- 1126. DOI: https://doi.org/10.1016/S0921-4534(02)00864-X
-
Bunyaev, S.A., Barannik, A.A., and Cherpak, N.T., (2015) , Microstrip Whispering-Gallery-Mode Resonator, IEEE Trans. Microwave Theory Tech., 63(9), pp. 2776-2781. DOI: https://doi.org/10.1109/TMTT. 2015.2457898
-
Sun, L., Cherpak, N., Barannik, A., He, Y., Glamazdin, V. et al., (2017) , New Type of Microwave High-<i>T<sub>c</sub></i> Superconductor Microstrip Resonator and Its Application Prospects, IEEE Trans. Appl. Supercond., 27(4), pp. 1501304. DOI: https://doi.org/10.1109/TASC.2016.2631882
-
Skresanov, V.N., Barannik, A.A., Cherpak, N.T., He, Y., Glamazdin, V.V. et al., (2016) , Experience in developing Ka-band waveguide filter with HTS E-plane insert, Proc. of the Int. Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Sub-Millimeter waves (MSMW-2016), Kharkov, Ukraine, 20–24 June, 4 p. DOI: https://doi.org/ 10.1109/MSMW.2016.7538050
-
He, Y., Barannik, A., Cherpak, N., Sun, L., Skresanov, V. et al., (2017) , Novel Design of Band-Pass Waveguide Filter with HTS E-Plane Insert, IEEE Trans. Appl. Supercond, 27(4), pp. 1501604. DOI: https://doi.org/10.1109/TASC. 2017.2654350.
-
Sun L., Wang X., Wang J., Wu Y. et al., Rectangular band-pass filter having recesses of less than one- quarter wavelength depth dielectric insert with superconductive film within the recesses, U.S. Pat. 9,537,195.
-
Cherpak, N.T., (2004), High-temperature superconductors and MM wave technology: challenge and perspectives, Proc.5<sup>th</sup> Int. Kharkiv Symp. Physics and Engineering of Microwaves, Millimeter and Sub-Millimeter Waves (MSMW-2004), Kharkov, Ukraine, 21-26 June, 1, pp.412-414. DOI: https://doi.org/10.1109/ MSMW.2004.1345912