DOI QR코드

DOI QR Code

Investigation of the interaction between spin density wave and superconductivity in two band high temperature iron based superconductor Ba1-xNaxFe2As2

  • Teklie Lissanu Tegegne (Injibara University, Department of Physics)
  • 투고 : 2023.11.22
  • 심사 : 2024.06.12
  • 발행 : 2024.06.30

초록

The current study deals with the possible interplay between superconductivity and spin density wave in two band model high temperature iron based superconductor (FeBSC) Ba1-xNaxFe2As2. The electron and hole bands in the presence of the inter-band interaction between the two bands is becoming a vital issue to deal with the high temperature physics of the iron-based superconductors. In this research work, a model Hamiltonian appropriate for the system under consideration has been developed and the temperature dependent Green's function technique has been employed to get the solution for the equations of motion constructed for the two band model high temperature FeBSC Ba1-xNaxFe2As2. By making use of the decoupling procedure, the equations of motion for the dependence of superconducting transition temperature (TC) on spin density wave(SDW) order parameter (ΔSDW) in the electron intra-band (Δsc(e)) , hole intra-band (Δsc(h)) and inter-band (Δsc(eh)) for Ba1-xNaxFe2As2 have been obtained. We have also obtained the expression for the dependence of spin density wave transition temperature(TSDW) on ΔSDW for Ba1-xNaxFe2As2. Using some plausible approximations and appropriate experimental values for the parameters in the obtained equations of motion, phase diagrams of TC versus Δsc(e), Δsc(h) and Δsc(eh) are plotted. Furthermore, a phase diagram of TSDW versus ΔSDW is plotted for the material under consideration. Finally, using the above mentioned phase diagrams, the interplay between superconductivity and spin density wave in the two band model high temperature FeBSC Ba1-xNaxFe2As2 has been demonstrated to be a very distinct possibility. The agreement of the current finding with the experimental observations is quite commendable.

키워드

참고문헌

  1. Y. Kamihara, T. Watanabe, M. Hirano, and H. Hosono, "Iron-based layered superconductor La[O1-xFx]FeAs (x = 0.05 - 0.12) with Tc = 26 K," Journal of the American Chemical Society, vol. 130, no. 11, pp. 3296-3297, 2008.
  2. X. Chen, P. Dai, D. Feng, T. Xiang, and F. C. Zhang, "Iron-based high transition temperature superconductors," National Science Review, vol. 1, no. 3, pp. 371-395, 2014.
  3. Y. Kamihara, H. Hiramatsu, M. Hirano, R. Kawamura, H. Yanagi, T. Kamiya, and H. Hosono, "Iron-based layered superconductor: LaOFeP," Journal of the American Chemical Society, vol. 128, no. 31, pp. 10012-10013, 2006.
  4. C. Wang, L. Li, S. Chi, Z. Zhu, Z. Ren, Y. Li, Y. Wang, X. Lin, Y. Luo, S. Jiang, and X. Xu, "Thorium-doping-induced superconductivity up to 56 K in Gd1-xThxFeAsO," Europhysics Letters, vol. 83, no. 6, pp. 67006, 2008.
  5. A. Nuwal, S. Kakani, and S. L. Kakani, "Generalized multiple gap model for the superconductivity in Fe-As based superconductors," SOP Transactions on theoretical Physics, vol. 1, no. 2, pp. 7-25, 2014.
  6. H. Hosono, K. Tanabe, E. Takayama-Muromachi, H. Kageyama, S. Yamanaka, H. Kumakura, M. Nohara, H. Hiramatsu, and S. Fujitsu, "Exploration of new superconductors and functional materials, and fabrication of superconducting tapes and wires of iron pnictides," Science and Technology of Advanced Materials, vol. 16, no. 3, pp. 033503, 2015.
  7. Q. Huang, Y. Qiu, W. Bao, J. W. Lynn, M. A. Green, Y. Chen, T. Wu, G. Wu, and X. H. Chen, "Magnetic order in BaFe2As2, the parent compound of the FeAs based superconductors in a new structural family," arXiv:0806.2776, 2008.
  8. M. Rotter, M. Tegel, and D. Johrendt, "Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2," Physical Review Letters, vol. 101, no. 10, pp. 107006, 2008.
  9. M. Kumar, M. Nicklas, A. Jesche, N. Caroca-Canales, M. Schmitt, M. Hanfland, D. Kasinathan, U. Schwarz, H. Rosner, and C. Geibel, "Effect of pressure on the magnetostructural transition in SrFe2As2," Physical Review B, vol. 78, no. 18, pp. 184516, 2008.
  10. F. C. Hsu, J. Y. Luo, K. W. Yeh, T. K. Chen, T. W. Huang, P. M. Wu, Y. C. Lee, Y. L. Huang, Y. Y. Chu, D. C. Yan, and M. K. Wu, "Superconductivity in the PbO-type structure α-FeSe," Proceedings of the National Academy of Sciences, vol. 105, no. 38, pp. 14262-14264, 2008.
  11. A. Subedi, L. Zhang, D. J. Singh, and M. H. Du, "Density functional study of FeS, FeSe, and FeTe: Electronic structure, magnetism, phonons, and superconductivity," Physical Review B, vol. 78, no. 13, pp. 134514, 2008.
  12. L. N. Bulaevskii, A. I. Buzdin, M. L. Kulic, and S. V. Panjukov, "Coexistence of superconductivity and magnetism theoretical predictions and experimental results," Advances in Physics, vol. 34, no. 2, pp. 175-261, 1985.
  13. Y. Onuki, R. Settai, K. Sugiyama, T. Takeuchi, T. C. Kobayashi, Y. Haga, and E. Yamamoto, "Recent advances in the magnetism and superconductivity of heavy fermion systems," Journal of the Physical Society of Japan, vol. 73, no. 4, pp. 769-87, 2004.
  14. F. Steglich, "Superconductivity and magnetism: From antagonism to mutual interplay," Physica C: Superconductivity and its applications, vol. 460, pp. 7-12, 2007.
  15. A. S. Sefat, R. Jin, M. A. McGuire, B. C. Sales, D. J. Singh, and D. Mandrus, "Superconductivity at 22 K in Co-doped BaFe2As2 crystals," Physical Review Letters, vol. 101, no. 11, pp. 117004, 2008.
  16. L. Wang, F. Hardy, A. E. Bohmer, T. Wolf, P. Schweiss, and C. Meingast, "Complex phase diagram of Ba1-xNaxFe2As2: A multitude of phases striving for the electronic entropy," Physical Review B, vol. 93, no. 1, pp. 014514, 2016.
  17. D. K. Pratt, W. Tian, A. Kreyssig, J. L. Zarestky, S. Nandi, N. Ni, S. L. Bud'ko, P. C. Canfield, A. I. Goldman, and R. J. McQueeney, "Coexistence of competing antiferromagnetic and superconducting phases in the underdoped Ba(Fe0.953Co0.047)2As2 compound using x-ray and neutron scattering techniques," Physical Review Letters, vol. 103, no. 8, pp. 087001, 2009.
  18. P. Marsik, K. W. Kim, A. Dubroka, M. Rossle, V. K. Malik, L. Schulz, C. N. Wang, C. Niedermayer, A. J. Drew, M. Willis, and T. Wolf, "Coexistence and competition of magnetism and superconductivity on the nanometer scale in underdoped BaFe1.89Co0.11As2," Physical Review Letters, vol. 105, no. 5, pp. 057001, 2010.
  19. H. Kim, M. A. Tanatar, W. E. Straszheim, K. Cho, J. Murphy, N. Spyrison, J. P. Reid, B. Shen, H. H. Wen, R. M. Fernandes, and R. Prozorov, "Competition between superconductivity and magnetic/nematic order as a source of anisotropic superconducting gap in underdoped Ba1-xKxFe2As2," Physical Review B, vol. 90, no. 1, pp. 014517, 2014.
  20. M. H. Julien, H. Mayaffre, M. Horvatic, C. Berthier, X. D. Zhang, W. Wu, G. F. Chen, N. L. Wang, and J. L. Luo, "Homogeneous vs. inhomogeneous coexistence of magnetic order and superconductivity probed by NMR in Co-and K-doped iron pnictides," Europhysics Letters, vol. 87, no. 3, pp. 37001, 2009.
  21. Y. Laplace, J. Bobroff, F. Rullier-Albenque, D. Colson, and A. Forget, "Atomic coexistence of superconductivity and incommensurate magnetic order in the pnictide Ba (Fe1-xCox)2As2," Physical Review B, vol. 80, no. 14, pp. 140501, 2009.
  22. S. E. Avci, O. Chmaissem, E. A. Goremychkin, S. Rosenkranz, J. P. Castellan, D. Y. Chung, I. S. Todorov, J. A. Schlueter, H. Claus, M. G. Kanatzidis, and A. Daoud-Aladine, "Magnetoelastic coupling in the phase diagram of Ba1-xKxFe2As2 as seen via neutron diffraction," Physical Review B, vol. 83, no. 17, pp. 172503, 2011.
  23. S. Avci, O. Chmaissem, D. Y. Chung, S. Rosenkranz, E. A. Goremychkin, J. P. Castellan, I. S. Todorov, J. A. Schlueter, H. Claus, A. Daoud-Aladine, and D. D. Khalyavin, "Phase diagram of Ba1-xKxFe2As2," Physical Review B, vol. 85, no. 18, pp. 184507, 2012.
  24. R. Cortes-Gil, D. R. Parker, M. J. Pitcher, J. Hadermann, and S. J. Clarke, "Indifference of Superconductivity and Magnetism to Size-Mismatched Cations in the Layered Iron Arsenides Ba1-xNaxFe2As2," Chemistry of Materials, vol. 22, no. 14, pp. 4304-4311, 2010.
  25. Q. W. Wang, D. Y. Liu, Y. M. Quan, and L. J. Zou, "Coexistence and competition of spin-density-wave and superconducting order parameters in iron-based superconductors," Physics Letters A, vol. 380, no. 34, pp. 2685-2692, 2016.
  26. J. Dong, H. J. Zhang, G. Xu, Z. Li, G. Li, W. Z. Hu, D. Wu, G. F. Chen, X. Dai, JL. Luo, and Z. Fang, "Competing orders and spin-density-wave instability in La(O1-xFx)FeAs," Europhysics Letters, vol. 83, no. 2, pp. 27006, 2008.
  27. A. Chubukov, "Pairing mechanism in Fe-based superconductors. Annu," Rev. Condens. Matter Phys, vol. 3, no. 1, pp. 57-92, 2012.
  28. T. Yoshida, S. I. Ideta, T. Shimojima, W. Malaeb, K. Shinada, H. Suzuki, I. Nishi, A. Fujimori, K. Ishizaka, S. Shin, and Y. Nakashima, "Anisotropy of the superconducting gap in the iron-based superconductor BaFe2(As1-xPx)2," Scientific Reports, vol. 4, no. 1, pp. 7292, 2014.
  29. F. Wasser, A. Schneidewind, Y. Sidis, S. Wurmehl, S. Aswartham, B. Buchner, and M. Braden, "Spin reorientation in Ba0.65Na0.35Fe2As2 studied by single-crystal neutron diffraction," Physical Review B, vol. 91, no. 6, pp. 060505, 2015.
  30. E. Sheveleva, B. Xu, P. Marsik, F. Lyzwa, B. P. Mallett, K. Willa, C. Meingast, T. Wolf, T. Shevtsova, Y. G. Pashkevich, and C. Bernhard, "Muon spin rotation and infrared spectroscopy study of Ba1-xNaxFe2As2," Physical Review B, vol. 101, no. 22, pp. 224515, 2020.
  31. Y. Bang and G. R. Stewart, "Superconducting properties of the s±-wave state: Fe-based superconductors," Journal of Physics: Condensed Matter, vol. 29, no. 12, pp. 123003, 2017.
  32. H. Maeter, G. Pascua, H. Luetkens, J. Knolle, S. Aswartham, S. Wurmehl, G. Behr, B. Buchner, Z. Shermadini, K. Sedlak, and A. Amato, "Strong Competition of Superconducting and Magnetic Order Parameters in Ba1-xNaxFe2As2," arXiv:1210.6881, 2012.
  33. S. Sen and H. Ghosh, "Intra-inter band pairing, order parameter symmetry in Fe-based superconductors: A model study," Journal of Alloys and Compounds, vol. 618, pp. 102-109, 2015.
  34. D. N. Zubarev, "Double-time Green functions in statistical physics," Soviet Physics Uspekhi, vol. 3, no. 3, pp. 320, 1960.
  35. A. Nieto, "Evaluating sums over the Matsubara frequencies," Computer Physics Communications, vol. 92, no. 1, pp. 54-64, 1995.
  36. Y. Bang and G. R. Stewart, "Anomalous scaling of ΔC versus TC in the Fe-based superconductors: the-wave pairing state model," New Journal of Physics, vol. 18, no. 2, pp. 023017, 2016.
  37. A. B. Vorontsov, M. G. Vavilov, and A. V. Chubukov, "Interplay between magnetism and superconductivity in the iron pnictides," Physical Review B, vol. 79, no. 6, pp. 060508, 2009.
  38. S. E. Avci, J. M. Allred, O. Chmaissem, D. Y. Chung, S. Rosenkranz, J. A. Schlueter, H. Claus, A. Daoud-Aladine, D. D. Khalyavin, P. Manuel, and A. Llobet, "Structural, magnetic, and superconducting properties of Ba1-xNaxFe2 As2," Physical Review B, vol. 88, no. 9, pp. 094510, 2013.