Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model

Physical Review B - Condensed Matter and Materials Physics

Volumn 90, Issue 4, 2014, Pages

  Scherer, Daniel D ^a   Scherer, Michael M ^b   Khaliullin, Giniyat ^c   Honerkamp, Carsten ^d,f   Rosenow, Bernd ^a,e  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^c MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^d RWTH AACHEN UNIVERSITY   (Germany)

^e HARVARD UNIVERSITY   (United States)

^f JARA FIT Fundamentals of Future Information Technology   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84905405441     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.90.045135     Document Type: Article

References (80)

1. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.45.494
2. R. B. Laughlin, Phys. Rev. B 23, 5632(R) (1981). PRBMDO 0163-1829 10.1103/PhysRevB.23.5632
3. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
4. Q. Niu, D. J. Thouless, and Y.-S. Wu, Phys. Rev. B 31, 3372 (1985). PRBMDO 0163-1829 10.1103/PhysRevB.31.3372
5. M. Kohmoto, Ann. Phys. (NY) 160, 343 (1985). APNYA6 0003-4916 10.1016/0003-4916(85)90148-4
6. B. A. Bernevig and S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
7. B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734 (Pubitemid 44969083)
8. A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B 78, 195125 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195125
9. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
10. X.-L. Qi, T. L. Hughes, S. Raghu, and S.-C. Zhang, Phys. Rev. Lett. 102, 187001 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.187001
11. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B 81, 134508 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.134508
12. S. Ryu, New J. Phys. 12, 065010 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/6/065010
13. L. Balents, Nature (London) 464, 199 (2010). NATUAS 0028-0836 10.1038/nature08917
14. X.-G. Wen and Q. Niu, Phys. Rev. B 41, 9377 (1990). PRBMDO 0163-1829 10.1103/PhysRevB.41.9377
15. X.-G. Wen, Adv. Phys. 44, 405 (1995). ADPHAH 0001-8732 10.1080/00018739500101566
16. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982) 10.1103/PhysRevLett.48.1559.
17. F. D. M. Haldane, Phys. Rev. Lett. 51, 605 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.51.605
18. R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
19. B. I. Halperin, Phys. Rev. Lett. 52, 1583 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.1583
20. A. Kitaev, Ann. Phys. (NY) 321, 2 (2006). APNYA6 0003-4916 10.1016/j.aop.2005.10.005 (Pubitemid 43072824)
21. G. Jackeli and G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.017205
22. J. Chaloupka, G. Jackeli, and G. Khaliullin, Phys. Rev. Lett. 105, 027204 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.027204
23. Y. Singh and P. Gegenwart, Phys. Rev. B 82, 064412 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.064412
24. X. Liu, T. Berlijn, W.-G. Yin, W. Ku, A. Tsvelik, Y.-J. Kim, H. Gretarsson, Y. Singh, P. Gegenwart, and J. P. Hill, Phys. Rev. B 83, 220403(R) (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.220403
25. S. Bhattacharjee, New J. Phys. 14, 073015 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/7/073015
26. Y. Singh, S. Manni, J. Reuther, T. Berlijn, R. Thomale, W. Ku, S. Trebst, and P. Gegenwart, Phys. Rev. Lett. 108, 127203 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.127203
27. J. Chaloupka, G. Jackeli, and G. Khaliullin, Phys. Rev. Lett. 110, 097204 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.097204
28. M. Kargarian, A. Langari, and G. A. Fiete, Phys. Rev. B 86, 205124 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.205124
29. J. Reuther, R. Thomale, and S. Rachel, Phys. Rev. B 86, 155127 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.155127
30. F. Ye, S. Chi, H. Cao, B. C. Chakoumakos, J. A. Fernandez-Baca, R. Custelcean, T. F. Qi, O. B. Korneta, and G. Cao, Phys. Rev. B 85, 180403(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.180403
31. R. Schaffer, S. Bhattacharjee, and Y. B. Kim, Phys. Rev. B 86, 224417 (2012) PRBMDO 1098-0121 10.1103/PhysRevB.86.224417
32. K. Foyevtsova, H. O. Jeschke, I. I. Mazin, D. I. Khomskii, and R. Valenti, Phys. Rev. B 88, 035107 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88. 035107
33. T. Hyart, A. R. Wright, G. Khaliullin, and B. Rosenow, Phys. Rev. B 85, 140510(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.140510
34. Y.-Z. You, I. Kimchi, and A. Vishwanath, Phys. Rev. B 86, 085145 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.085145
35. S. Okamoto, Phys. Rev. B 87, 064508 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.064508
36. L. Kimme, T. Hyart, and B. Rosenow, arXiv:1308.2496 [cond-mat.supr-con].
37. M. Sato, Phys. Rev. B 79, 214526 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.214526
38. M. Sato and S. Fujimoto, Phys. Rev. B 79, 094504 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.094504
39. M. Sato, Phys. Rev. B 81, 220504(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.220504
40. R. Comin, Phys. Rev. Lett. 109, 266406 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.266406
41. Y. K. Kim, O. Krupin, J. D. Denlinger, A. Bostwick, E. Rotenberg, Q. Zhao, J. F. Mitchell, J. W. Allen, and B. J. Kim, Science 345, 187 (2014). 10.1126/science.1251151
42. W. Metzner, M. Salmhofer, C. Honerkamp, V. Meden, and Kurt Schönhammer, Rev. Mod. Phys. 84, 299 (2012). RMPHAT 0034-6861 10.1103/RevModPhys.84.299
43. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.17 (Pubitemid 43279669)
44. C.-Y. Hou, C. Chamon, and C. Mudry, Phys. Rev. Lett. 98, 186809 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.186809 (Pubitemid 46701718)
45. A. G. Grushin, E. V. Castro, A. Cortijo, F. de Juan, M. A. H. Vozmediano, and B. Valenzuela, Phys. Rev. B 87, 085136 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.085136
46. T. C. Lang, Z. Y. Meng, A. Muramatsu, S. Wessel, and F. F. Assaad, Phys. Rev. Lett. 111, 066401 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.066401
47. S. Raghu, X.-L. Qi, C. Honerkamp, and S.-C. Zhang, Phys. Rev. Lett. 100, 156401 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.156401 (Pubitemid 351549477)
48. J. Wen, A. Rüegg, C.-C. Joseph Wang, and G. A. Fiete, Phys. Rev. B 82, 075125 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.075125
49. N. A. Garcia-Martinez, A. G. Grushin, T. Neupert, B. Valenzuela, and E. V. Castro, Phys. Rev. B 88, 245123 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88. 245123
50. M. Daghofer and M. Hohenadler, Phys. Rev. B 89, 035103 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.035103
51. T. Durić, N. Chancellor, and I. F. Herbut, Phys. Rev. B 89, 165123 (2014) 10.1103/PhysRevB.89.165123.
52. M. L. Kiesel, C. Platt, and R. Thomale, Phys. Rev. Lett. 110, 126405 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.126405
53. S. Sachdev and R. La Placa, Phys. Rev. Lett. 111, 027202 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.027202
54. J. D. Sau and S. Sachdev, Phys. Rev. B 89, 075129 (2014) 10.1103/PhysRevB.89.075129.
55. A. Allais, J. Bauer, and S. Sachdev, arXiv:1402.4807 [cond-mat.str-el].
56. A. Allais, J. Bauer, and S. Sachdev, Ind. J. Phys. (2014), doi: 10.1007/s12648-014-0488-4.
57. M. Sigrist and K. Ueda, Rev. Mod. Phys. 63, 239 (1991). RMPHAT 0034-6861 10.1103/RevModPhys.63.239
58. C. Platt, W. Hanke, and R. Thomale, Adv. Phys. 62, 453 (2013). ADPHAH 0001-8732 10.1080/00018732.2013.862020
59. J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, Reading, MA, 1988).
60. M. Salmhofer and C. Honerkamp, Prog. Theor. Phys. 105, 1 (2001). PTPKAV 0033-068X 10.1143/PTP.105.1
61. A. Eberlein and W. Metzner, Phys. Rev. B 89, 035126 (2014) 10.1103/PhysRevB.89.035126.
62. J. Reuther and P. Wölfle, Phys. Rev. B 81, 144410 (2010) PRBMDO 1098-0121 10.1103/PhysRevB.81.144410;
63. J. Reuther and R. Thomale, Phys. Rev. B 83, 024402 (2011) PRBMDO 1098-0121 10.1103/PhysRevB.83.024402;
64. J. Reuther, P. Wölfle, R. Darradi, W. Brenig, M. Arlego, and J. Richter, Phys. Rev. B 83, 064416 (2011) PRBMDO 1098-0121 10.1103/PhysRevB.83. 064416;
65. R. Suttner, C. Platt, J. Reuther, and R. Thomale, Phys. Rev. B 89, 020408(R) (2014); PRBMDO 1098-0121 10.1103/PhysRevB.89.020408
66. J. Reuther and R. Thomale, Phys. Rev. B 89, 024412 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.024412
67. C. Honerkamp, Phys. Rev. Lett. 100, 146404 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.146404 (Pubitemid 351535529)
68. H. Zhai, F. Wang, and D.-H. Lee, Phys. Rev. B 80, 064517 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.064517
69. W.-S. Wang, Y.-Y. Xiang, Q.-H. Wang, F. Wang, F. Yang, and D.-H. Lee, Phys. Rev. B 85, 035414 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.035414
70. M. L. Kiesel, C. Platt, W. Hanke, D. A. Abanin, and R. Thomale, Phys. Rev. B 86, 020507(R) (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.020507
71. A. M. Black-Schaffer and S. Doniach, Phys. Rev. B 75, 134512 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.134512
72. F. Wang, H. Zhai, Y. Ran, A. Vishwanath, and D.-H. Lee, Phys. Rev. Lett. 102, 047005 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.047005
73. R. Gersch, New J. Phys. 10, 045003 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/4/045003
74. M. Ossadnik and C. Honerkamp, arXiv:0911.5047 [cond-mat.str-el].
75. M. M. Scherer, S. Uebelacker, and C. Honerkamp, Phys. Rev. B 85, 235408 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.235408
76. T. C. Lang, Z. Y. Meng, M. M. Scherer, S. Uebelacker, F. F. Assaad, A. Muramatsu, C. Honerkamp, and S. Wessel, Phys. Rev. Lett. 109, 126402 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.126402
77. M. M. Scherer, S. Uebelacker, D. D. Scherer, and C. Honerkamp, Phys. Rev. B 86, 155415 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.155415
78. C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, Phys. Rev. B 63, 035109 (2001). PRBMDO 0163-1829 10.1103/PhysRevB.63.035109
79. Z. Nussinov and J. van den Brink, arXiv:1303.5922 [cond-mat.str-el].
80. P. Kopietz, L. Bartosch, and F. Schütz, Introduction to the Functional Renormalization Group (Springer Verlag, Berlin, 2010).