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Electronic structure and the structure of the order parameter in high-T c superconductors based on copper oxides and iron pnictides

  • On the Occasion of the Eighty-Fifth Birthday of Academician V.B. Lazarev
  • Published:
Inorganic Materials Aims and scope

Abstract

Experimental data on the symmetry of the superconducting state in the high-T c superconductors based on copper oxides and iron pnictides have been analyzed using a space group approach to the wavefunction of a Cooper pair. We have found the irreducible representations of the crystal symmetry groups of these materials for singlet states with zero total momentum corresponding to experimental data on the structure of their order parameter.

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References

  1. Bednorz, J.G. and Müller, K.A., Possible high T c superconductivity in the Ba-La-Cu-O systems, Z. Phys. B: Condens. Matter, 1986, vol. 64, no. 2, pp. 189–193.

    Article  CAS  Google Scholar 

  2. Bardeen, J.L., Cooper, N., and Schrieffer, J.R., Theory of superconductivity, Phys. Rev., 1957, vol. 108, no. 5, pp. 1175–1204.

    Article  CAS  Google Scholar 

  3. Shaplygin, I.S., Kakhan, B.G., and Lazarev, V.B., Preparation and properties of Ln2CuO4 (Ln = La, Pr, Nd, Sm, Eu, Gd) solid solutions, Zh. Neorg. Khim., 1979, vol. 24, no. 6, pp. 1478–1485.

    CAS  Google Scholar 

  4. Bishop, D.J., Varma, C.M., Batlogg, B., et al., Ultrasonic attenuation in UPt3, Phys. Rev. Lett., 1984, vol. 53, no. 10, pp. 1009–1011.

    Article  CAS  Google Scholar 

  5. Ott, H.R., Rudiger, H., Rice, T.M., et al., p-Wave superconductivity in UBe13, Phys. Rev. Lett., 1984, vol. 52, no. 21, pp. 1915–1918.

    Article  CAS  Google Scholar 

  6. MacLaughlin, D.E., Tien, C., Gupta, J.C., et al., Nuclear quadrupole resonance and heavy-fermion superconductivity in CeCu2Si2, Phys. Rev. B: Condens. Matter Mater. Phys., 1984, vol. 30, pp. 1577–1570.

    Article  CAS  Google Scholar 

  7. Schilling, A., Cantoni, M., Guo, J.D., and Ott, H.R., Superconductivity above 130 K in the Hg-Ba-Ca-Cu-O system, Nature, 1993, vol. 363, pp. 56–58.

    Article  CAS  Google Scholar 

  8. Kaneko, T., Hamada, K., Wada, T., et al., Nearly single-phase Tl-based “2223” superconductor with T c = 125 K, Phys. C (Amsterdam, Neth.), 1991, vol. 185, pp. 691–692.

    Article  Google Scholar 

  9. Kamihara, Y., Watanabe, T., Hirano, M., and Hosono, H., Iron-based layered superconductor La[O1 − x Fx]FeAs (x = 0.05–0.12) with Tc 26 K, J. Am. Chem. Soc., 2008, vol. 130, pp. 296–3297.

    Article  Google Scholar 

  10. Norman, M.R., Unconventional superconductivity, 2013, arxiv. 1302.3176.

  11. Tohiyama, T., Recent progress in physics of high-temperature superconductors, Jpn. J. Appl. Phys., 2017, vol. 81, paper 010 004.

  12. Ishida, K., Nakai, Y., and Hosono, H., To what extent iron-pnictide new superconductors have been clarified, J. Phys. Soc. Jpn., 2009, vol. 78, no. 6, paper 062 001.

    Google Scholar 

  13. Mazin, I.I. and Schmalian, J., Pairing symmetry and pairing state in ferropnictides: theoretical overview, Phys. C (Amsterdam, Neth.), 2009, vol. 469, pp. 614–627.

    Article  CAS  Google Scholar 

  14. Yarzhemsky, V.G. and Murav’ev, E.N., Multiplicity and parity of the Cooper pair wavefunction in crystals with symmetry, Dokl. Akad. Nauk, 1991, vol. 317, no. 5, pp. 1124–1129.

    Google Scholar 

  15. Yarzhemsky, V.G. and Murav’ev, E.N., Space group approach to the wavefunction of a Cooper pair, J. Phys.: Condens. Matter, 1992, vol. 4, pp. 3525–3532.

    Google Scholar 

  16. Yarzhemsky, V.G., Wavefunction of a Cooper pair in crystals of D 12h and D 174h symmetry, Z. Phys. B: Condens. Matter, 1995, vol. 99, no. 1, pp. 19–23.

    Article  CAS  Google Scholar 

  17. Yarzhemsky, V.G., Space-group approach to the nodal structure of superconducting order parameter in UPt3, Phys. Status Solidi B, 1998, vol. 209, pp. 101–107.

    Article  CAS  Google Scholar 

  18. Yarzhemsky, V.G., Space-group approach to the nodal structure of superconducting order parameter in ferromagnetic and antiferromagnetic materials, Int. J. Quantum Chem., 2000, vol. 80, pp. 133–140.

    Article  CAS  Google Scholar 

  19. Yarzhemsky, V.G. and Nefedov, V.I., Symmetry of two-electron states in unconventional superconductors, Inorg. Mater., 2005, vol. 41, no. 12, pp. 1247–1255.

    Article  CAS  Google Scholar 

  20. Yarzhemsky, V.G. and Nefedov, V.I., Crystal symmetry and the structure of two-electron states in high-temperature superconductors, Dokl. Phys., 2005, vol. 50, no. 10, pp. 494–498.

    Article  CAS  Google Scholar 

  21. Yarzhemsky, V.G. and Nefedov, V.I., Group theoretical treatment of photoelectron spectra of high-T c super-conductors. Hidden symmetry and colour pairs, Phil. Mag. Lett., 2006, vol. 86, no. 11, pp. 733–742.

    Article  CAS  Google Scholar 

  22. Yarzhemsky, V.G. and Nefedov, V.I., Structure of triplet states in magnetic crystals, Dokl. Phys., 2007, vol. 52, no. 2, pp. 85–89.

    Article  CAS  Google Scholar 

  23. Yarzhemsky, V.G., Space-group approach to two-electron states in unconventional superconductors, J. Optoelectron. Adv. Mater., 2008, vol. 10, no. 7, pp. 1759–1762.

    Google Scholar 

  24. Yarzhemsky, V.G. and Nefedov, V.I., Time-reversal symmetry violation and the structure of the superconducting order parameter of PrOs4Sb12, Phys. Solid State, 2009, vol. 51, no. 3, pp. 448–455.

    Article  CAS  Google Scholar 

  25. Yarzhemsky, V.G., Nodal quantum numbers for two-electron states in solids, Few-Body Syst., 2012, vol. 53, no. 3, pp. 499–504.

    Article  CAS  Google Scholar 

  26. Micklitz, T. and Norman, M.R., Odd parity and line nodes in nonsymmorphic superconductors, Phys. Rev. B: Condens. Matter Mater. Phys., 2009, vol. 80, paper 100 506.

  27. Zhao, J., Chatterjee, U., Ai, D., et al., Universal features in the photoemission spectroscopy of high temperature superconductors, 2013, arxiv.1309.1903.

    Google Scholar 

  28. Kaminski, A., Rosenkranz, S., Fretwell, H.M., et al., Spontaneous breaking of time-reversal symmetry in the pseudogap state of a high-T c superconductor, Nature, 2002, vol. 416, pp. 610–513.

    Article  CAS  Google Scholar 

  29. Singh, D.J. and Du, M.-H., Density functional study of LaFeAsO1 − x Fx: a low carrier density superconductor near itinerant magnetism, Rev. Lett, 2008, vol. 100, no. 23, paper 237 003.

    Google Scholar 

  30. Kondo, T., Santander-Syro, A.F., Copie, O., et al., Momentum dependence of the superconducting gap in NdFeAsO0.9F0.1 single crystals measured by angle resolved photoemission spectroscopy, Phys Rev Lett., 2008, vol. 1014, paper 147 003.

  31. Ding, H., Richard, P., Nakayama, K., et al., Observation of Fermi-surface-dependent nodeless superconducting gaps in Ba0.6K0.4Fe2As2, Europhys. Lett., 2008, vol. 83, no. 4, paper 47 001.

    Google Scholar 

  32. He, Y., Yin, Y., Zech, M., et al., Fermi surface pairing and coherence in a high T c superconductor, 2013, arxiv:1305.2778.

    Google Scholar 

  33. Deepwell, D., Peets, D.C., Truncik, C.J.S., et al., Microwave conductivity and superfluid density in strongly overdoped Tl2Ba2CuO6 + δ, 2013, arxiv1312.6450v1.

    Google Scholar 

  34. Hashimoto, K., Kasahara, S., Katsumata, R., et al., Nodal versus nodeless behaviors of the order parameters of LiFeP and LiFeAs superconductors from magnetic penetration-depth measurements, Phys. Rev. Lett., 2012, vol. 108, paper 047 003.

  35. Okazaki, K., Ota, Y., Kotani, Y., et al., Octet-line node structure of superconducting order parameter in KFe2As2, Science, 2012, vol. 337, no. 6100, pp. 1314–1317.

    Article  CAS  Google Scholar 

  36. Zhang, X., Lee, B., Khim, S., et al., Probing the order parameter of superconducting LiFeAs using Pb/LiFeAs and Au/LiFeAs point-contact spectroscopy, Phys. Rev. B: Condens. Matter Mater. Phys., 2012, vol. 85, paper 094 521.

  37. Tafti, F.F., Juneau-Fecteau, A., Delage, M.-È., et al., Sudden reversal in the pressure dependence of T c in the iron-based superconductor KFe2As2, Nat. Phys., 2013, vol. 49, pp. 349–352.

    Article  Google Scholar 

  38. Dong, J.K., Zhou, S.Y., Guan, T.Y., et al., Quantum criticality and nodal superconductivity in the FeAs-based superconductor KFe2As2, Phys. Rev. Lett., 2010, vol. 104, no. 8, paper 087 005.

    Google Scholar 

  39. Reid, J.-Ph., Tanatar, M.A., Juneau-Fecteau, A., et al., Universal heat conduction in the iron arsenide superconductor KFe2As2: evidence of a d-wave state, Phys. Rev. Lett., 2012, vol. 109, no. 8, paper 087 007.

    Google Scholar 

  40. Hanaguri, T., Niitaka, S., Kuroki, K., and Takagi, H., Unconventional s-wave superconductivity in Fe(Se,Te), Science, 201, vol. 328, pp. 474–476.

  41. Kuroki, K., Onari, S., Arita, R., et al., Unconventional pairing originating from the disconnected Fermi surfaces of superconducting LaFeAsO1 − x Fx, Phys. Rev. Lett., 2008, vol. 101, paper 087 004.

  42. Mazin, I.I., Singh, D.J., Johannes, M.D., and Du, M.H., Unconventional superconductivity with a sign reversal in the order parameter of LaFeAsO1 − x Fx, Phys. Rev. Lett., 2008, vol. 101, paper 057 003.

  43. Anderson, P.W., Structure of triplet superconducting energy gap, Phys. Rev. B: Condens. Matter Mater. Phys., 1984, vol. 30, pp. 4000–4002.

    Article  CAS  Google Scholar 

  44. Kovalev, O.V., Neprivodimye i indutsirovannye predstavleniya grupp (Irreducible and Induced Representations of Groups), Moscow: Nauka, 1985.

    Google Scholar 

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Authors and Affiliations

  1. Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119991, Russia

    V. G. Yarzhemsky & A. D. Izotov

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  1. V. G. Yarzhemsky
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  2. A. D. Izotov
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Correspondence to V. G. Yarzhemsky.

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Original Russian Text © V.G. Yarzhemsky, A.D. Izotov, 2014, published in Neorganicheskie Materialy, 2014, Vol. 50, No. 9, pp. 983–987.

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Yarzhemsky, V.G., Izotov, A.D. Electronic structure and the structure of the order parameter in high-T c superconductors based on copper oxides and iron pnictides. Inorg Mater 50, 907–911 (2014). https://doi.org/10.1134/S0020168514090179

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  • DOI: https://doi.org/10.1134/S0020168514090179

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