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The competition of Hund’s coupling and impurity on transport anisotropy in iron-based superconductors

  • Yang LiuEmail author
  • Yuekun Niu
  • Yun Song
Regular Article
  • 12 Downloads

Abstract

The origin of anisotropic transport in the nematic phase of the iron-based superconductors is still controversial. Two main explanations include the extrinsic sources induced by impurity scattering and the intrinsic mechanism which highlights the orbital order or spin scenarios. Based on an inhomogeneous three-orbital Hubbard model, we study the effects of Hund’s coupling and substitutions on the nematic susceptibility and anisotropic conductance. We find that nematic susceptibility is tuned by Hund’s coupling in undoped case and reaches a peak at JU = 0.12. However, this anisotropic electron state is fragile and can easily be destroyed by weak doping. The anisotropy of resistivity ρanis = (ρaρb) − 1 rapidly reduces in the small doping level and then gradually increases with doping concentration. However, the twofold nanostructure induced by impurities will be suppressed when we increase the Hund’s coupling, consistent with the scanning tunnelling experiments on iron pnictides. These results also explain the contradictory dependence of ρanis on substitutions in tetragonal and orthorhombic phase.

Graphical abstract

Keywords

Solid State and Materials 

References

  1. 1.
    W. Lv, J. Wu, P. Phillips, Phys. Rev. B 80, 224506 (2009) ADSCrossRefGoogle Scholar
  2. 2.
    F. Krüger, S. Kumar, J. Zaanen, J. van den Brink, Phys. Rev. B 79, 054504 (2009) ADSCrossRefGoogle Scholar
  3. 3.
    C.-C. Lee, W.-G. Yin, W. Ku, Phys. Rev. Lett. 103, 267001 (2009) ADSCrossRefGoogle Scholar
  4. 4.
    S. Onari, H. Kontani, Phys. Rev. Lett. 109, 137001 (2012) ADSCrossRefGoogle Scholar
  5. 5.
    K. Jiang, J.P. Hu, H. Ding, Z. Wang, Phys. Rev. B 93, 115138 (2016) ADSCrossRefGoogle Scholar
  6. 6.
    M. Yi, D.H. Lu, J.-H. Chu, J.G. Analytis, A.P. Sorini, A.F. Kemper, B. Moritz, S.-K. Mo, R.G. Moore, M. Hashimoto, W.-S. Lee, Z. Hussain, T.P. Devereaux, I.R. Fisher, Z.X. Shen, Proc. Natl. Acad. Sci. USA 108, 6878 (2011) ADSCrossRefGoogle Scholar
  7. 7.
    E.C. Blomberg, M.A. Tanatar, R.M. Fernandes, I.I. Mazin, B. Shen, H.-H. Wen, M.D. Johannes, J. Schmalian, R. Prozorov, Nat. Commun. 4, 1914 (2013) CrossRefGoogle Scholar
  8. 8.
    B. Valenzuela, E. Bascones, M.J. Calderón, Phys. Rev. Lett. 105, 207202 (2010) ADSCrossRefGoogle Scholar
  9. 9.
    C. Fang, H. Yao, W.F. Tsai, J.P. Hu, S.A. Kivelson, Phys. Rev. B 77, 224509 (2008) ADSCrossRefGoogle Scholar
  10. 10.
    C. Xu, M. Müller, S. Sachdev, Phys. Rev. B 78, 020501(R) (2008) ADSCrossRefGoogle Scholar
  11. 11.
    R.M. Fernandes, L.H. VanBebber, S. Bhattacharya, P. Chandra, V. Keppens, D. Mandrus, M.A. McGuire, B.C. Sales, A.S. Sefat, J. Schmalian, Phys. Rev. Lett. 105, 157003 (2010) ADSCrossRefGoogle Scholar
  12. 12.
    S. Ishida, T. Liang, M. Nakajima, K. Kihou, C.H. Lee, A. Iyo, H. Eisaki, T. Kakeshita, T. Kida, M. Hagiwara, Y. Tomioka, T. Ito, S. Uchida, Phys. Rev. B 84, 184514 (2011) ADSCrossRefGoogle Scholar
  13. 13.
    S. Ishida, M. Nakajima, T. Liang, K. Kihou, C.H. Lee, A. Iyo, H. Eisaki, T. Kakeshita, Y. Tomioka, T. Ito, S. Uchida, Phys. Rev. Lett. 110, 207001 (2013) ADSCrossRefGoogle Scholar
  14. 14.
    S. Ishida, M. Nakajima, T. Liang, K. Kihou, C.H. Lee, A. Iyo, H. Eisaki, T. Kakeshita, Y. Tomioka, T. Ito, S. Uchida, J. Am. Chem. Soc. 135, 3158 (2013) CrossRefGoogle Scholar
  15. 15.
    Y. Inoue, Y. Yamakawa, H. Kontani, Phys. Rev. B 85, 224506 (2012) ADSCrossRefGoogle Scholar
  16. 16.
    M.N. Gastiasoro, I. Paul, Y. Wang, P.J. Hirschfeld, B.M. Andersen, Phys. Rev. Lett. 113, 127001 (2014) ADSCrossRefGoogle Scholar
  17. 17.
    C.-C. Chen, J. Maciejko, A.P. Sorini, B. Moritz, R.R.P. Singh, T.P. Devereaux, Phys. Rev. B 82, 100504 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    S. Liang, A. Moreo, E. Dagotto, Phys. Rev. Lett. 111, 047004 (2013) ADSCrossRefGoogle Scholar
  19. 19.
    T.M. McQueen, A.J. Williams, P.W. Stephens, J. Tao, Y. Zhu, V. Ksenofontov, F. Casper, C. Felser, R.J. Cava, Phys. Rev. Lett. 103, 057002 (2009) ADSCrossRefGoogle Scholar
  20. 20.
    U.R. Singh, S.C. White, S. Schmaus, V. Tsurkan, A. Loidl, J. Deisenhofer, P. Wahl, Sci. Adv. 1, e1500206 (2015) ADSCrossRefGoogle Scholar
  21. 21.
    T. Iye, M.-H. Julien, H. Mayaffre, M. Horvatić, C. Berthier, K. Ishida, H. Ikeda, S. Kasahara, T. Shibauchi, Y. Matsuda, J. Phys. Soc. Jpn. 84, 043705 (2015) ADSCrossRefGoogle Scholar
  22. 22.
    S.-H. Baek, D.V. Efremov, J.M. Ok, J.S. Kim, J. van den Brink, B. Büchner, Nat. Mater. 14, 210 (2015) ADSCrossRefGoogle Scholar
  23. 23.
    P. Massat, D. Farina, I. Paul, S. Karlsson, P. Strobel, P. Toulemonde, M.-A. Méasson, M. Cazayous, A. Sacuto, S. Kasahara, T. Shibauchi, Y. Matsuda, Y. Gallais, PNAS 113, 9177 (2016) ADSCrossRefGoogle Scholar
  24. 24.
    T. Shimojima, Y. Suzuki, T. Sonobe, A. Nakamura, M. Sakano, J. Omachi, K. Yoshioka, M. Kuwata-Gonokami, K. Ono, H. Kumigashira, A.E. Böhmer, F. Hardy, T. Wolf, C. Meingast, H.v. Löhneysen, H. Ikeda, K. Ishizaka, Phys. Rev. B 90, 121111 (2014) ADSCrossRefGoogle Scholar
  25. 25.
    Y. Zhang, M. Yi, Z.-K. Liu, W. Li, J.J. Lee, R.G. Moore, M. Hashimoto, M. Nakajima, H. Eisaki, S.-K. Mo, Z. Hussain, T.P. Devereaux, Z.-X. Shen, D.H. Lu, Phys. Rev. B 94, 115153 (2016) ADSCrossRefGoogle Scholar
  26. 26.
    Z. Wang, A.H. Nevidomskyy, J. Phys.: Condens. Matter 27, 225602 (2015) ADSGoogle Scholar
  27. 27.
    L. Fanfarillo, G. Giovannetti, M. Capone, E. Bascones, Phys. Rev. B 95, 144511 (2017) ADSCrossRefGoogle Scholar
  28. 28.
    Y. Kamihara, H. Hiramatsu, M, Hirano, R. Kawamura, H. Yanagi, T. Kamiya, H. Hosono, J. Am. Chem. Soc. 128, 10012 (2006) CrossRefGoogle Scholar
  29. 29.
    P.J. Hirschfeld, M.M. Korshunov, I.I. Mazin, Rep. Prog. Phys. 74, 124508 (2011) ADSCrossRefGoogle Scholar
  30. 30.
    X. Chen, P. Dai, D. Feng, T. Xiang, F.-C. Zhang, Nat. Sci. Rev. 1, 371 (2014) CrossRefGoogle Scholar
  31. 31.
    J.-H. Chu, J.G. Analytis, K.D. Greve, P.L. McMahon, Z. Islam, Y. Yamamoto, I.R. Fisher, Science 329, 824 (2010) ADSCrossRefGoogle Scholar
  32. 32.
    M.A. Tanatar, E.C. Blomberg, A. Kreyssig, M.G. Kim, N. Ni, A. Thaler, S.L. Bud’ko, P.C. Canfield, A.I. Goldman, I.I. Mazin, R. Prozorov, Phys. Rev. B 81, 184508 (2010) ADSCrossRefGoogle Scholar
  33. 33.
    M. Nakajima, S. Ishida, Y. Tomioka, K. Kihou, C.H. Lee, A. Iyo, T. Ito, T. Kakeshita, H. Eisaki, S. Uchida, Phys. Rev. Lett. 109, 217003 (2012) ADSCrossRefGoogle Scholar
  34. 34.
    H.-H. Kuo, J.-H. Chu, S.C. Riggs, L. Yu, P.L. McMahon, K. De Greve, Y. Yamamoto, J.G. Analytis, I.R. Fisher, Phys. Rev. B 84, 054540 (2011) ADSCrossRefGoogle Scholar
  35. 35.
    J.J. Ying, X.F. Wang, T. Wu, Z.J. Xiang, R.H. Liu, Y.J. Yan, A.F. Wang, M. Zhang, G.J. Ye, P. Cheng, J.P. Hu, X.H. Chen, Phys. Rev. Lett. 107, 067001 (2011) ADSCrossRefGoogle Scholar
  36. 36.
    J.-H. Chu, H.-H. Kuo, J.G. Analytis, I.R. Fisher, Science 337, 710 (2012) ADSCrossRefGoogle Scholar
  37. 37.
    H.-H. Kuo, I.R. Fisher, Phys. Rev. Lett. 112, 227001 (2014) ADSCrossRefGoogle Scholar
  38. 38.
    S. Mandal, R.E. Cohen, K. Haule, Phys. Rev. B 90, 060501 (2014) ADSCrossRefGoogle Scholar
  39. 39.
    J. Diehl, S. Backes, D. Guterding, H.O. Jeschke, R. Valentí, Phys. Rev. B 90, 085110 (2014) ADSCrossRefGoogle Scholar
  40. 40.
    Y. Liu, D.-Y. Liu, J.-L. Wang, J. Sun, Y. Song, L.-J. Zou, Phys. Rev. B 92, 155146 (2015) ADSCrossRefGoogle Scholar
  41. 41.
    S. Ideta, T. Yoshida, I. Nishi, A. Fujimori, Y. Kotani, K. Ono, Y. Nakashima, S. Yamaichi, T. Sasagawa, M. Nakajima, K. Kihou, Y. Tomioka, C.H. Lee, A. Iyo, H. Eisaki, T. Ito, S. Uchida, R. Arita, Phys. Rev. Lett. 110, 107007 (2013) ADSCrossRefGoogle Scholar
  42. 42.
    M. Calamiotou, I. Margiolaki, A. Gantis, E. Siranidi, Z.-A. Ren, Z.-X. Zhao, E. Liarokapis, EPL 91, 57005 (2010) ADSCrossRefGoogle Scholar
  43. 43.
    D.N. Zubarev, Sov. Phys. Usp. (Engl. Transl.) 3, 320 (1960) ADSCrossRefGoogle Scholar
  44. 44.
    B.R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957) ADSCrossRefGoogle Scholar
  45. 45.
    P.A. Lee, D.S. Fisher, Phys. Rev. Lett. 47, 882 (1981) ADSCrossRefGoogle Scholar
  46. 46.
    S. Hosoi, K. Matsuuraa, K. Ishidaa, H. Wanga, Y. Mizukamia, T. Watashigeb, S. Kasaharab, Y. Matsudab, T. Shibauchia, PNAS 113, 8139 (2016) ADSCrossRefGoogle Scholar
  47. 47.
    T.-M. Chuang, M.P. Allan, J. Lee, Y. Xie, N. Ni, S.L. Bud’ko, G.S. Boebinger, P.C. Canfield, J.C. Davis, Science 327, 181 (2010) ADSCrossRefGoogle Scholar
  48. 48.
    P. Cai, W. Ruan, X.-D. Zhou, C. Ye, A.-F. Wang, X.-H. Chen, D.-H. Lee, Y.-Y. Wang, Phys. Rev. Lett. 112, 127001 (2014) ADSCrossRefGoogle Scholar
  49. 49.
    S. Li, C. de la Cruz, Q. Huang, G.F. Chen, T.-L. Xia, J.L. Luo, N.L. Wang, P.-C. Dai, Phys. Rev. B 80, 020504 (2009) ADSCrossRefGoogle Scholar
  50. 50.
    M.A. McGuire, A.D. Christianson, A.S. Sefat, B.C. Sales, M.D. Lumsden, R. Jin, E.A. Payzant, D. Mandrus, Y. Luan, V. Keppens, V. Varadarajan, J.W. Brill, R.P. Hermann, M.T. Sougrati, F. Grandjean, G.J. Long, Phys. Rev. B 78, 094517 (2008) ADSCrossRefGoogle Scholar
  51. 51.
    M. Daghofer, A. Nicholson, A. Moreo, E. Dagotto, Phys. Rev. B 81, 014511 (2010) ADSCrossRefGoogle Scholar
  52. 52.
    Y. Liu, Y.-Y. Zhao, Y. Song, New J. Phys. 18, 073006 (2016) ADSCrossRefGoogle Scholar
  53. 53.
    J. Hubbard, Proc. R. Soc. Lond. A 276, 238 (1963) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Humanities Science Center, Southern University of Science and TechnologyShenzhenP.R. China
  2. 2.Department of PhysicsBeijing Normal UniversityBeijingP.R. China

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