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Theoretical investigation of the coexistence of superconductivity and spin density wave (SDW) in two-band model for the iron-based superconductor BaFe2(As1−xPx)2

  • Tsadik KidanemariamEmail author
  • Gebregziabher Kahsay
  • Alem Mebrahtu
Regular Article
  • 37 Downloads

Abstract

This study focuses on the theoretical investigation of the coexistence of superconductivity and spin density wave (SDW) in a two-band model for the iron-based superconductor BaFe2(As1−xPx)2. By employing a system Hamiltonian in a two-band model for a given system and by using the double time temperature dependent Green’s function formalism at the Bardeen-Cooper-Schrieffer (BCS) mean field approximation (MFA) level, we obtained mathematical expressions for the dependence of superconducting transition temperature (TC) on SDW order parameter (ΔSDW) in the electron and hole intra-band interactions, and in the inter-band interactions for superconductor BaFe2(As1−xPx)2. Similarly, we have obtained an expression for the dependence of SDW transition temperature (TSDW) on the SDW order parameter (ΔSDW) for BaFe2(As1−xPx)2. By using experimental values and considering some plausible approximations of the parameters in the obtained expressions, phase diagrams of TC versus ΔSDW in the electron and hole intra-band interactions, and in the inter-band interactions are plotted for the BaFe2(As1−xPx)2 superconductor. Similarly, a phase diagram of TSDW versus ΔSDW is plotted for the same superconductor. By merging the two phase diagrams, we have demonstrated the possible coexistence of superconductivity and SDW in the electron and hole intra-band interactions, and in the inter-band interactions for BaFe2(As1−xPx)2. Furthermore, we have investigated the dependence of ΔSDW on temperature in pure SDW region and the phase diagram is plotted for the variation of ΔSDW with temperature for superconductor BaFe2(As1−xPx)2. Our findings are in agreement with previous experimental results.

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Keywords

Solid State and Materials 

References

  1. 1.
    Y. Kamihara, T. Watanabe, M. Hirano, H. Hosono, J. Am. Chem. Soc. 130, 3296 (2008) CrossRefGoogle Scholar
  2. 2.
    X. Chen, P. Dai, D. Feng, T. Xiang, F. Zhang, Natl. Sci. Rev. 1, 371 (2014) CrossRefGoogle Scholar
  3. 3.
    C. Wang, L. Li, S. Chi, Z. Zhu, Z. Ren, Y. Li, Y. Wang, X. Lin, Y. Luo, S. Jiang, X. Xu, G. Cao, Z. Xu, Europhys. Lett. 83, 67006 (2008) CrossRefGoogle Scholar
  4. 4.
    A. Nuwal, S. Kakani, S.L. Kakani, SOP Trans. Theor. Phys. 1, 7 (2014) CrossRefGoogle Scholar
  5. 5.
    H. Hosono, K. Tanabe, E.T. Muromachi, H. Kageyama, S. Yamanaka, H. Kumakura, M. Nohara, H. Hiramatsu, S. Fujitsu, Sci. Technol. Adv. Mater. 16, 033503 (2015) CrossRefGoogle Scholar
  6. 6.
    M.D. Lumsden, A.D. Christianson, J. Phys.: Condens. Matter 22, 203203 (2010) Google Scholar
  7. 7.
    Q. Huang, Y. Qiu, W. Bao, M.A. Green, J.W. Lynn, Y.C. Gasparovic, T. Wu, G. Wu, X.H. Chen, Phys. Rev. Lett. 101, 257003 (2008) CrossRefGoogle Scholar
  8. 8.
    M. Rotter, M. Tegel, D. Johrendt, Phys. Rev. Lett. 101, 107006 (2008) CrossRefGoogle Scholar
  9. 9.
    Z. Ren, Q. Tao, S. Jiang, C. Feng, C. Wang, J. Dai, G. Cao, Z. Xu, Phys. Rev. Lett. 102, 137002 (2009) CrossRefGoogle Scholar
  10. 10.
    Y. Mizukami, M. Konczykowski, K. Matsuura, T. Watashige, S. Kasahara, Y. Matsuda, T. Shibauchi, J. Phys. Soc. Jpn. 86, 083706 (2017) CrossRefGoogle Scholar
  11. 11.
    A.A. Kordyuk, Low. Temp. Phys. 38, 888 (2012) CrossRefGoogle Scholar
  12. 12.
    S. Kasahara, T. Shibauchi, K. Hashimoto, K. Ikada, S. Tonegawa, R. Okazaki, H. Shishido, H. Ikeda, H. Takeya, K. Hirata, T. Terashima, Y. Matsuda, Phys. Rev. B 81, 184519 (2010) CrossRefGoogle Scholar
  13. 13.
    J. Orenstein, Optical probes of symmetry breaking in magnetic and superconducting BaFe2(As1−xPx)2, in APS March Meeting Abstracts (2016) Google Scholar
  14. 14.
    M. Yamashita, Y. Senshu, T. Shibauchi, S. Kasahara, K. Hashimoto, D. Watanabe, H. Ikeda, T. Terashima, I. Vekhter, A.B. Vorontsov, Y. Matsuda, Phys. Rev. B 84, 060507 (2011) CrossRefGoogle Scholar
  15. 15.
    Q.W. Wang, D.Y. Liu, Y.M. Quan, L.J. Zou, Phys. Lett. A 380, 2685 (2016) CrossRefGoogle Scholar
  16. 16.
    M.G. Vavilov, A.V. Chubukov, A.B. Vorontsov, Superconductor Sci. Technol. 23, 054011 (2010) CrossRefGoogle Scholar
  17. 17.
    Y. Matsui, T. Morinari, T. Tohyama, J. Phys. Soc. Jpn. 83,094703 (2014) CrossRefGoogle Scholar
  18. 18.
    Q.W. Wang, D.Y. Liu, Y.M. Quan, L.J. Zou, Phys. Lett. A 380, 2685 (2016) CrossRefGoogle Scholar
  19. 19.
    C. de laCruz, Q. Huang, J.W. Lynn, J. Li, W. Ratcliff, J.L. Zarestky, H.A. Mook, G.F. Chen, J.L. Luo, N.L. Wang, P. Dai, Nature 453, 899 (2008) CrossRefGoogle Scholar
  20. 20.
    H. Chen, Y. Ren, Y. Qiu, W. Bao, R.H. Liu, G. Wu, T. Wu, Y.L. Xie, X.F. Wang, Q. Huang, X.H. Chen, Europhys. Lett. 85, 17006 (2009) CrossRefGoogle Scholar
  21. 21.
    J. Dong, H.J. Zhang, G. Xu, Z. Li, G. Li, W.Z. Hu, D. Wu, G.F. Chen, X. Dai, J.L. Luo, Z. Fang, N.L. Wang, Europhys. Lett. 83, 27006 (2008) CrossRefGoogle Scholar
  22. 22.
    E. Bascones, B. Valenzuela, M.J. Calderon, C. R. Phys. 17, 36 (2016) CrossRefGoogle Scholar
  23. 23.
    A.V. Chubukov, Annu. Rev. Cond. Mat. Phys. 3, 57 (2012) CrossRefGoogle Scholar
  24. 24.
    T. Yoshida, S. Ideta, T. Shimojima, W. Malaeb, K. Shinada, H. Suzuki, I. Nishi, A. Fujimori, K. Ishizaka, S. Shin, Y. Nakashima, H. Anzai, M. Arita, A. Ino, H. Namatame, M. Taniguchi, H. Kumigashira, K. Ono, S. Kasahara, T. Shibauchi, T. Terashima, Y. Matsuda, M. Nakajima, S. Uchida, Y. Tomioka, T. Ito, K. Kihou, C.H. Lee, A. Iyo, H. Eisaki, H. Ikeda, R. Arita, T. Saito, S. Onari, H. Kontani, Sci. Rep. 4, 7292 (2014) CrossRefGoogle Scholar
  25. 25.
    R.M. Fernandes, J. Schmalian, Phys. Rev. B 82, 014521 (2010) CrossRefGoogle Scholar
  26. 26.
    D.N. Zubarev, Sov. Phys. Usp. 3, 320 (1960) CrossRefGoogle Scholar
  27. 27.
    A. Nieto, Comput. Phys. Commun. 92, 54 (1995) CrossRefGoogle Scholar
  28. 28.
    H. Oh, J. Moon, D. Shin, C.Y. Moon, H.J. Choi, Prog. Superconduct. 13, 65 (2011) Google Scholar

Copyright information

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

Authors and Affiliations

  • Tsadik Kidanemariam
    • 1
    Email author
  • Gebregziabher Kahsay
    • 2
  • Alem Mebrahtu
    • 3
  1. 1.Department of PhysicsAdigrat UniversityAdigratEthiopia
  2. 2.Department of PhysicsCollege of Science, Bahir Dar UniversityBahir DarEthiopia
  3. 3.Department of PhysicsMekelle UniversityMekelleEthiopia

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