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Nematic and antiferromagnetic order in iron-pnictide superconductors

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Abstract

Iron-based high-temperature superconductors exhibit a transition to an electronic nematic phase in which the crystal rotation symmetry is spontaneously broken. We consider a model for correlated electrons consisting of the Fermi surfaces of an electron and a hole pocket separated by a nesting vector \(\textbf{Q}\) and interactions between electrons giving rise to itinerant antiferromagnetism (AF). Assuming that the vector \(\textbf{Q}\) is commensurate with the lattice (Umklapp with \(\textbf{Q} = \textbf{G}/2\)), pairs of electrons can be transferred between the pockets. This process may lead to a superconducting (S\(^+\)) dome at low temperatures. The Pomeranchuk effect transforms circular orbits into elliptical ones and yields an electronic nematic phase (n). The AF and the n order can gradually be suppressed by mismatching the nesting of the Fermi surfaces. Both, the boundary between the nematic and paramagnetic phases and the boundary between the nematic and antiferromagnetic phases merge into the superconducting dome giving rise to several phases: a pure S\(^+\)-phase and two mixed phases (S\(^+\) with n (nematic), and S\(^+\) with n and AF). The system has a quantum critical point (QCP) at the \(T = 0\) endpoint of the boundary between the paramagnetic and S\(^+\) phases.

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References

  1. 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)

    ADS  Google Scholar 

  2. X. Chen, S. Maiti, R.M. Fernandes, P.J. Hirschfeld, Phys. Rev. B 102, 184512 (2020)

    ADS  Google Scholar 

  3. R.M. Fernandes, A.V. Chubukov, J. Schmalian, Nat. Phys. 10, 97 (2014)

    Google Scholar 

  4. A.E. Böhmer, Ch. Meingast, Compte Rendus Physique 17, 90 (2016)

    ADS  Google Scholar 

  5. J.-H. Chu, H.H. Kuo, J.G. Analytis, I.R. Fisher, Science 337, 710 (2012)

    ADS  Google Scholar 

  6. J. Hu, C. Xu, Phys. C 481, 215 (2012)

    ADS  Google Scholar 

  7. R.M. Fernandes, A.E. Böhmer, Ch. Meingast, J. Schmalian, Phys. Rev. Lett. 111, 137001 (2013)

    ADS  Google Scholar 

  8. A.V. Chubukov, R.M. Fernandes, J. Schmalian, Phys. Rev. B 91, 201105(R) (2015)

    ADS  Google Scholar 

  9. Z. Wang, W.-J. Hu, A.H. Nevidomskyy, Phys. Rev. Lett. 116, 247203 (2016)

    ADS  Google Scholar 

  10. R. Yu, Q. Si, Phys. Rev. Lett. 115, 116401 (2015)

    ADS  Google Scholar 

  11. T. Terashima, N. Kikugawa, S. Kasahara, T. Watashige, T. Shibauchi, Y. Matsuda, Th. Wolf, A. Böhmer, F. Hardy, Ch. Meingast, H.v. Löhneysen, S. Uji, J. Phys. Soc. Jpn. 84, 063701 (2015)

  12. M. Bendele, A. Ichsanow, Yu. Pashkevich, L. Keller, Th. Strässle, A. Gusev, E. Pomjakushina, K. Conder, R. Khasanov, H. Keller, Phys. Rev. B 85, 064517 (2012)

    ADS  Google Scholar 

  13. L. Fanfarillo, L. Benfatto, B. Valenzuela, Phys. Rev. B 97, 121109(R) (2018)

    ADS  Google Scholar 

  14. Y. Yamakawa, S. Onari, H. Kontani, Phys. Rev. X 6, 021032 (2016)

    Google Scholar 

  15. A.E. Böhmer, F. Hardy, F. Eilers, D. Ernst, P. Adelmann, P. Schweiss, T. Wolf, C. Meingast, Phys. Rev. B 87, 180505(R) (2014)

    Google Scholar 

  16. M.H. Christensen, J. Kang, B.M. Andersen, R.M. Fernandes, Phys. Rev. B 93, 085136 (2016)

    ADS  Google Scholar 

  17. F. Wang, S.A. Kivelson, D.-H. Lee, Nat. Phys. 11, 959 (2015)

    Google Scholar 

  18. J.K. Glasbrenner, I.I. Mazin, H.O. Jeschke, P.J. Hirschfeld, R.M. Fernandes, R. Valentí, Nat. Phys. 11, 953 (2015)

    Google Scholar 

  19. R.M. Fernandes, A.J. Millis, Phys. Rev. Lett. 111, 127001 (2013)

    ADS  Google Scholar 

  20. V. Mishra, P.J. Hirschfeld, New J. Phys. 18, 103001 (2016)

  21. Ch. Eckberg, D.J. Campbell, T. Metz, J. Collini, H. Hodovanets, T. Drye, P. Zavalij, M.H. Christensen, R.M. Fernandes, S. Lee, P. Abbamonte, J.W. Lynn, J. Paglione, Nat. Phys. 16, 346 (2020)

    Google Scholar 

  22. J. Collini, S. Lee, S.X.-L. Sun, Ch. Eckberg, D.J. Campbell, P. Abbamonte, J. Paglione, Phys. Rev. B 106, 054107 (2022)

    ADS  Google Scholar 

  23. P. Schlottmann, Phys. Rev. B 89, 014511 (2014)

    ADS  Google Scholar 

  24. P. Schlottmann, Ann. Phys. (Berlin) 530, 1700263 (2018)

    ADS  MathSciNet  Google Scholar 

  25. A.V. Chubukov, D.V. Efremov, I. Eremin, Phys. Rev. B 78, 134512 (2008)

    ADS  Google Scholar 

  26. A.V. Chubukov, Phys. C 469, 640 (2009)

    ADS  Google Scholar 

  27. R. Shankar, Rev. Mod. Phys. 66, 129 (1994)

    ADS  Google Scholar 

  28. P. Schlottmann, Phys. Rev. B 59, 12379 (1999)

    ADS  Google Scholar 

  29. P. Schlottmann, Phys. Rev. B 68, 125105 (2003)

    ADS  Google Scholar 

  30. M. Fowler, A. Zawadowski, Solid State Commun. 9, 471 (1971)

    ADS  Google Scholar 

  31. P.W. Anderson, P. Morel, Phys. Rev. 123, 1911 (1961)

    ADS  MathSciNet  Google Scholar 

  32. I. Pomeranchuk, Sov. Phys. JETP 8, 361 (1958)

    Google Scholar 

  33. S. Weinberg, Nucl. Phys. B 413, 567 (1994)

    ADS  Google Scholar 

  34. J Polchinski, Proc. of 1992 Theor. Adv. Studies Institute in Elementary Particle Physics, eds. J. Harvey and J. Polchinski (World Scientific, Singapore, 1993)

  35. F. Siringo, G.N. Angilella, R. Pucci, Phys. Rev. B 53, 2870 (1996)

    ADS  Google Scholar 

  36. A.B. Vorontsov, M.G. Vavilov, A.V. Chubukov, Phys. Rev. B 79, 060508(R) (2009)

    ADS  Google Scholar 

  37. J.M. Tranquada, Physics 3, 41 (2010)

  38. F. Yang, S.F. Taylor, S.D. Edkins, J.C. Palmstrom, I.R. Fisher, B.L. Lev, Nat. Phy. 16, 514 (2020)

  39. H.Q. Yuan, F.M. Grosche, M. Deppe, C. Geibel, G. Sparn, F. Steglich, Science 302, 2104 (2003)

  40. J.L. Sarrao, J.D. Thompson, J. Phys. Soc. Jpn. 76, 051013 (2007)

    ADS  Google Scholar 

  41. R. Movshovich, T. Graf, D. Mandrus, J.D. Thompson, J.L. Smith, Z. Fisk, Phys. Rev. B 53, 8241 (1996)

    ADS  Google Scholar 

  42. S. Araki, M. Nakashima, R. Settai, T. Kobayashi, Y. Onuki, J. Phys.: Condens. Matter 14, L377 (2002)

    ADS  Google Scholar 

  43. I.R. Walker, F.M. Grosche, D.M. Freye, G.G. Lonzarich, Phys. C 282–287, 303 (1997)

    ADS  Google Scholar 

  44. N.D. Mathur, F.M. Grosche, S.R. Julian, I.R. Walker, D.M. Freye, R.K.W. Haselwimmer, G.G. Lonzarich, Nature (London) 394, 39 (1998)

    ADS  Google Scholar 

  45. S. Kawasaki, T. Mito, Y. Kawasaki, H. Kotegawa, G.-Q. Zheng, Y. Kitaoka, H. Shishido, S. Araki, R. Settai, Y. Onuki, J. Phys. Soc. Jpn. 73, 1647 (2004)

    ADS  Google Scholar 

  46. Y. Kawasaki, K. Ishida, S. Kawasaki, T. Mito, G.-Q. Zheng, Y. Kitaoka, Ch. Geibel, F. Steglich, J. Phys. Soc. Jpn. 73, 194 (2004)

    ADS  Google Scholar 

  47. T. Muramatsu, N. Tateiwa, T.C. Kobayashi, K. Shimizu, K. Amaya, D. Aoki, H. Shishido, Y. Haga, Y. Onuki, J. Phys. Soc. Jpn. 70, 3362 (2001)

    ADS  Google Scholar 

  48. P. Schlottmann, Phys. Rev. B 92, 045115 (2015)

    ADS  Google Scholar 

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  1. Department of Physics, Florida State University, Tallahassee, FL, 32306, USA

    P. Schlottmann

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Schlottmann, P. Nematic and antiferromagnetic order in iron-pnictide superconductors. Eur. Phys. J. B 96, 58 (2023). https://doi.org/10.1140/epjb/s10051-023-00520-3

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