Time-reversal symmetry breaking superconductivity in the coexistence phase with magnetism in Fe pnictides

Physical Review Letters

Volumn 113, Issue 16, 2014, Pages

  Hinojosa, Alberto ^a   Fernandes, Rafael M ^b   Chubukov, Andrey V ^a  

^a University of Wisconsin Madison   (United States)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SPIN DENSITY WAVES;

COEXISTENCE PHASE; COEXISTENCE REGION; COUPLING CONSTANTS; LOW TEMPERATURES; RELATIVE PHASE; SPIN TRIPLET PAIRING; SUPERCONDUCTING ORDERS; TIME REVERSAL SYMMETRIES;

DENSITY (OPTICAL);

IRON DERIVATIVE;

CHEMISTRY; MAGNETISM; THEORETICAL MODEL;

IRON COMPOUNDS; MAGNETIC PHENOMENA; MAGNETICS; MODELS, THEORETICAL;

EID: 84907934850     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.167001     Document Type: Article

References (79)

1. K. Ishida, Y. Nakai, and H. Hosono, J. Phys. Soc. Jpn. 78, 062001 (2009); JUPSAU 0031-9015 10.1143/JPSJ.78.062001
2. D.C. Johnston, Adv. Phys. 59, 803 (2010); ADPHAH 0001-8732 10.1080/00018732.2010.513480
3. J. Paglione and R.L. Greene, Nat. Phys. 6, 645 (2010); NPAHAX 1745-2473 10.1038/nphys1759
4. P.C. Canfield and S.L. Bud'ko, Annu. Rev. Condens. Matter Phys. 1, 27 (2010); ARCMCX 1947-5454 10.1146/annurev-conmatphys-070909-104041
5. H.H. Wen and S. Li, Annu. Rev. Condens. Matter Phys. 2, 121 (2011). ARCMCX 1947-5454 10.1146/annurev-conmatphys-062910-140518
6. R.M. Fernandes, A.V. Chubukov, and J. Schmalian, Nat. Phys. 10, 97 (2014). NPAHAX 1745-2473 10.1038/nphys2877
7. Z. Li, R. Zhou, Y. Liu, D.L. Sun, J. Yang, C.T. Lin, and Guo-qing Zheng, Phys. Rev. B 86, 180501(R) (2012); PRBMDO 1098-0121 10.1103/PhysRevB.86.180501
8. R. Zhou, Z. Li, J. Yang, D.L. Sun, C.T. Lin, and G.-q. Zheng, Nat. Commun. 4, 2265 (2013). NCAOBW 2041-1723 10.1038/ncomms3265
9. 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, Phys. Rev. Lett. 103, 087001 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.087001
10. I.I. Mazin, D.J. Singh, M.D. Johannes, and M.H. Du, Phys. Rev. Lett. 101, 057003 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.057003
11. A.V. Chubukov, D.V. Efremov, and I. Eremin, Phys. Rev. B 78, 134512 (2008); PRBMDO 1098-0121 10.1103/PhysRevB.78.134512
12. K. Kuroki, S. Onari, R. Arita, H. Usui, Y. Tanaka, H. Kontani, and H. Aoki, Phys. Rev. Lett. 101, 087004 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.087004
13. V. Cvetković and Z. Tesanović, Phys. Rev. B 80, 024512 (2009); PRBMDO 1098-0121 10.1103/PhysRevB.80.024512
14. J. Zhang, R. Sknepnek, R.M. Fernandes, and J. Schmalian, Phys. Rev. B 79, 220502(R) (2009); PRBMDO 1098-0121 10.1103/PhysRevB.79.220502
15. A.F. Kemper, T.A. Maier, S. Graser, H.-P. Cheng, P.J. Hirschfeld, and D.J. Scalapino, New J. Phys. 12, 073030 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/7/073030
16. A.V. Chubukov, Annu. Rev. Condens. Matter Phys. 3, 57 (2012); ARCMCX 1947-5454 10.1146/annurev-conmatphys-020911-125055
17. P.J. Hirschfeld, M.M. Korshunov, and I.I. Mazin, Rep. Prog. Phys. 74, 124508 (2011). RPPHAG 0034-4885 10.1088/0034-4885/74/12/124508
18. W.-C. Lee, S.-C. Zhang, and C. Wu, Phys. Rev. Lett. 102, 217002 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.217002
19. J. Carlstrom, J. Garaud, and E. Babaev, Phys. Rev. B 84, 134518 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.134518
20. S. Maiti, M.M. Korshunov, and A.V. Chubukov, Phys. Rev. B 85, 014511 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.014511
21. V. Stanev and Z. Tesanović, Phys. Rev. B 81, 134522 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.134522
22. T.A. Maier, P.J. Hirschfeld, and D.J. Scalapino, Phys. Rev. B 86, 094514 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.094514
23. C. Platt, R. Thomale, C. Honerkamp, S.-C. Zhang, and W. Hanke, Phys. Rev. B 85, 180502(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.180502
24. M. Khodas and A.V. Chubukov, Phys. Rev. Lett. 108, 247003 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.247003
25. G. Livanas, A. Aperis, P. Kotetes, and G. Varelogiannis, arXiv:1208.2881.
26. M. Marciani, L. Fanfarillo, C. Castellani, and L. Benfatto, Phys. Rev. B 88, 214508 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.214508
27. F. Yang, F. Wang, and D.-H. Lee, Phys. Rev. B 88, 100504(R) (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.100504
28. Z.P. Yin, K. Haule, and G. Kotliar, arXiv:1311.1188.
29. N. Hao and J. Hu, Phys. Rev. B 89, 045144 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.045144
30. R.M. Fernandes and A.J. Millis, Phys. Rev. Lett. 111, 127001 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.127001
31. S. Maiti and A.V. Chubukov, Phys. Rev. B 87, 144511 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.144511
32. F. Ahn, I. Eremin, J. Knolle, V.B. Zabolotnyy, S.V. Borisenko, B. Büchner, and A.V. Chubukov, Phys. Rev. B 89, 144513 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.144513
33. S.Z. Lin and X. Hu, Phys. Rev. Lett. 108, 177005 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.177005
34. C. Wu and J.E. Hirsch, Phys. Rev. B 81, 020508(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.020508
35. V. Stanev, Phys. Rev. B 85, 174520 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.174520
36. S. 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, A. Daoud-Aladine, D. Khalyavin, and R. Osborn, Phys. Rev. B 83, 172503 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.172503
37. M.-H. Julien, H. Mayaffre, M. Horvatic, C. Berthier, X.D. Zhang, W. Wu, G.F. Chen, N.L. Wang, and J.L. Luo, Europhys. Lett. 87, 37001 (2009). EULEEJ 0295-5075 10.1209/0295-5075/87/37001
38. E. Wiesenmayer, H. Luetkens, G. Pascua, R. Khasanov, A. Amato, H. Potts, B. Banusch, H.-H. Klauss, and D. Johrendt, Phys. Rev. Lett. 107, 237001 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.237001
39. P. Marsik, K.W. Kim, A. Dubroka, M. Rössle, V.K. Malik, L. Schulz, C.N. Wang, Ch. Niedermayer, A.J. Drew, M. Willis, T. Wolf, and C. Bernhard, Phys. Rev. Lett. 105, 057001 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.057001
40. L. Ma, G.F. Ji, J. Dai, X.R. Lu, M.J. Eom, J.S. Kim, B. Normand, and W. Yu, Phys. Rev. Lett. 109, 197002 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.197002
41. P. Cai, X. Zhou, W. Ruan, A. Wang, X. Chen, D.-H. Lee, and Y. Wang, Nat. Commun. 4, 1596 (2013). NCAOBW 2041-1723 10.1038/ncomms2592
42. Q.Q. Ge, Z.R. Ye, M. Xu, Y. Zhang, J. Jiang, B.P. Xie, Y. Song, C.L. Zhang, P. Dai, and D.L. Feng, Phys. Rev. X 3, 011020 (2013) PRXHAE 2160-3308 10.1103/PhysRevX.3.011020
43. M. Yi, Y. Zhang, Z.-K. Liu, X. Ding, J.-H. Chu, A.F. Kemper, N. Plonka, B. Moritz, M. Hashimoto, S.-K. Mo, Z. Hussain, T.P. Devereaux, I.R. Fisher, H.H. Wen, Z.-X. Shen, and D.H. Lu, Nat. Commun. 5, 3711 (2014). NCAOBW 2041-1723 10.1038/ncomms4711
44. G.C. Psaltakis and E.W. Fenton, J. Phys. C 16, 3913 (1983). JPSOAW 0022-3719 10.1088/0022-3719/16/20/015
45. M. Murakami and H. Fukuyama, J. Phys. Soc. Jpn. 67, 2784 (1998). JUPSAU 0031-9015 10.1143/JPSJ.67.2784
46. B. Kyung, Phys. Rev. B 62, 9083 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.62.9083
47. A. Aperis, G. Varelogiannis, P.B. Littlewood, and B.D. Simons, J. Phys. Condens. Matter 20, 434235 (2008). JCOMEL 0953-8984 10.1088/0953-8984/20/43/434235
48. J.-P. Ismer, I. Eremin, E. Rossi, D.K. Morr, and G. Blumberg, Phys. Rev. Lett. 105, 037003 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.037003
49. K. Kuboki and K. Yano, J. Phys. Soc. Jpn. 81, 064711 (2012). JUPSAU 0031-9015 10.1143/JPSJ.81.064711
50. W. Rowe, I. Eremin, A. Romer, B.M. Andersen, and P.J. Hirschfeld, arXiv:1312.1507.
51. A.B. Vorontsov, M.G. Vavilov, and A.V. Chubukov, Phys. Rev. B 79, 060508 (2009); PRBMDO 1098-0121 10.1103/PhysRevB.79.060508
52. A.B. Vorontsov, M.G. Vavilov, and A.V. Chubukov Phys. Rev. B 81, 174538 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.174538
53. D. Parker, M.G. Vavilov, A.V. Chubukov, and I.I. Mazin, Phys. Rev. B 80, 100508 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.100508
54. R.M. Fernandes, D.K. Pratt, W. Tian, J. Zarestky, A. Kreyssig, S. Nandi, M.G. Kim, A. Thaler, N. Ni, P.C. Canfield, R.J. McQueeney, J. Schmalian, and A.I. Goldman, Phys. Rev. B 81, 140501 (2010); PRBMDO 1098-0121 10.1103/PhysRevB.81.140501
55. R.M. Fernandes and J. Schmalian, Phys. Rev. B 82, 014520 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.014520
56. J. Knolle, I. Eremin, J. Schmalian, and R. Moessner, Phys. Rev. B 84, 180510(R) (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.180510
57. S. Maiti, R.M. Fernandes, and A.V. Chubukov, Phys. Rev. B 85, 144527 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.144527
58. W. Lv, A. Moreo, and E. Dagotto, Phys. Rev. B 89, 104510 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.104510
59. J. Schmiedt, P.M.R. Brydon, and C. Timm, Phys. Rev. B 89, 054515 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.054515
60. P. Ghaemi and A. Vishwanath, Phys. Rev. B 83, 224513 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.224513
61. I. Eremin and A.V. Chubukov, Phys. Rev. B 81, 024511 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.024511
62. M. Khodas and A.V. Chubukov, Phys. Rev. Lett. 108, 247003 (2012); PRLTAO 0031-9007 10.1103/PhysRevLett.108.247003
63. M. Khodas and A.V. Chubukov Phys. Rev. B 86, 144519 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.144519
64. R.M. Fernandes, A.V. Chubukov, J. Knolle, I. Eremin, and J. Schmalian, Phys. Rev. B 85, 024534 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.024534
65. A.V. Chubukov, Physica (Amsterdam) 469C, 640 (2009). PHYCE6 0921-4534 10.1016/j.physc.2009.03.023
66. S. Maiti and A.V. Chubukov, Phys. Rev. B 82, 214515 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.214515
67. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.113.167001 for the interaction Hamiltonian, a brief description of the pure SDW state, the full and linearized gap equations, the conditions for coexistence of the two superconducting orders, and the details of the pre-emtive TRS breaking above (Equation presented).
68. C. Platt, W. Hanke, and R. Thomale, Adv. Phys. 62, 453 (2013). ADPHAH 0001-8732 10.1080/00018732.2013.862020
69. F. Yang, F. Wang, and D.-H. Lee, Phys. Rev. B 88, 100504 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.100504
70. S. Kasahara, T. Shibauchi, K. Hashimoto, K. Ikada, S. Tonegawa, Phys. Rev. B 81, 184519 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.184519
71. Y. Ran, F. Wang, H. Zhai, A. Vishwanath, and D.H. Lee, Phys. Rev. B 79, 014505 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.014505
72. J. Knolle, I. Eremin, and R. Moessner, Phys. Rev. B 83, 224503 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.224503
73. R. Nandkishore, L. Levitov, and A.V. Chubukov, Nat. Phys. 8, 158 (2012). NPAHAX 1745-2473 10.1038/nphys2208
74. M.G. Vavilov and A.V. Chubukov, Phys. Rev. B 84, 214521 (2011); PRBMDO 1098-0121 10.1103/PhysRevB.84.214521
75. R.M. Fernandes, M.G. Vavilov, and A.V. Chubukov, Phys. Rev. B 85, 140512(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.140512
76. M. Hoyer, S.V. Syzranov, and J. Schmalian, Phys. Rev. B 89, 214504 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.214504
77. Similar locking of the relative phase of two (Equation presented) order parameters at (Equation presented) has been obtained in different contexts in [23] and [63].
78. Y. Wang and A.V. Chubukov, Phys. Rev. B 90, 035149 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.035149
79. T.A. Bojesen, E. Babaev, and A. Sudbo, Phys. Rev. B 89, 104509 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.104509