Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 23, 2013, Pages

  Maier, Stefan A ^a   Ortloff, Jutta ^a,b   Honerkamp, Carsten ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84890621878     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.235112     Document Type: Article

References (80)

1. P. W. Anderson, The Theory of Superconductivity in the High-Tc Cuprates (Princeton University Press, Princeton, 1997).
2. D. J. Scalapino, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.84. 1383 84, 1383 (2012).
3. H. J. Schulz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/4/5/016 4, 609 (1987).
4. P. Lederer, G. Montambaux, and D. Poilblanc, J. Phys. (Paris) JOPQAG 0302-0738 10.1051/jphys:0198700480100161300 48, 1613 (1987).
5. N. Furukawa, T. M. Rice, and M. Salmhofer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3195 81, 3195 (1998).
6. A. V. Chubukov, D. V. Efremov, and I. Eremin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.134512 78, 134512 (2008).
7. W. Metzner, M. Salmhofer, C. Honerkamp, V. Meden, and K. Schönhammer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.84.299 84, 299 (2012).
8. C. J. Halboth and W. Metzner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5162 85, 5162 (2000). (Pubitemid 32871799)
9. C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.63.035109 63, 035109 (2001).
10. J. Reiss, D. Rohe, and W. Metzner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.075110 75, 075110 (2007).
11. F. Wang, H. Zhai, and D.-H. Lee, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/85/37005 85, 37005 (2009).
12. F. Wang, H. Zhai, and D.-H. Lee, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.184512 81, 184512 (2010).
13. C. Platt, C. Honerkamp, and W. Hanke, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/5/055058 11, 055058 (2009).
14. R. Thomale, C. Platt, W. Hanke, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.187003 106, 187003 (2011).
15. C. Platt, R. Thomale, C. Honerkamp, S.-C. Zhang, and W. Hanke, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.180502 85, 180502 (2012).
16. S. Uebelacker and C. Honerkamp, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.155122 85, 155122 (2012).
17. M. L. Kiesel, C. Platt, W. Hanke, D. A. Abanin, and R. Thomale, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.020507 86, 020507 (2012).
18. M. L. Kiesel and R. Thomale, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.121105 86, 121105 (2012).
19. C. M. Varma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.155113 73, 155113 (2006). (Pubitemid 43583842)
20. M. H. Fischer and E.-A. Kim, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.144502 84, 144502 (2011).
21. V. J. Emery, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58. 2794 58, 2794 (1987).
22. O. Andersen, A. Liechtenstein, O. Jepsen, and F. Paulsen, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(95)00269-3 56, 1573 (1995).
23. T. A. Maier, S. Graser, D. J. Scalapino, and P. J. Hirschfeld, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.224510 79, 224510 (2009).
24. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.865 78, 865 (2006).
25. D. Vollhardt, K. Byczuk, and M. Kollar, in Strongly Correlated Systems, edited by, A. Avella, and, F. Mancini, Springer Series in Solid-State Sciences, Vol. 171 (Springer, Berlin, 2012), pp. 203-236.
26. C. Weber, K. Haule, and G. Kotliar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.134519 78, 134519 (2008).
27. L. de' Medici, X. Wang, M. Capone, and A. J. Millis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.054501 80, 054501 (2009).
28. C. Weber, K. Haule, and G. Kotliar, Nat. Phys. 1745-2473 10.1038/nphys1706 6, 574 (2010).
29. C. Weber, K. Haule, and G. Kotliar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.125107 82, 125107 (2010).
30. X. Wang, L. de' Medici, and A. J. Millis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094501 83, 094501 (2011).
31. C. Weber, C. Yee, K. Haule, and G. Kotliar, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/100/37001 100, 37001 (2012).
32. M. H. Hettler, A. N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.58.R7475 58, R7475 (1998).
33. P. R. C. Kent, T. Saha-Dasgupta, O. Jepsen, O. K. Andersen, A. Macridin, T. A. Maier, M. Jarrell, and T. C. Schulthess, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.035132 78, 035132 (2008).
34. M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00121-8 32, 429 (2003). (Pubitemid 41201102)
35. C. Dahnken, M. Aichhorn, W. Hanke, E. Arrigoni, and M. Potthoff, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.245110 70, 245110 (2004). (Pubitemid 40362429)
36. M. Aichhorn, E. Arrigoni, Z. B. Huang, and W. Hanke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.257002 99, 257002 (2007). (Pubitemid 350277716)
37. W. Hanke, M. Kiesel, M. Aichhorn, S. Brehm, and E. Arrigoni, Eur. Phys. J. Special Topics 1951-6355 10.1140/epjst/e2010-01294-y 188, 15 (2010).
38. C. Karrasch, R. Hedden, R. Peters, T. Pruschke, K. Schönhammer, and V. Meden, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/34/ 345205 20, 345205 (2008).
39. C. Husemann and M. Salmhofer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.195125 79, 195125 (2009).
40. C. Husemann, K.-U. Giering, and M. Salmhofer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.075121 85, 075121 (2012).
41. K.-U. Giering and M. Salmhofer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.245122 86, 245122 (2012).
42. J. Ortloff (unpublished).
43. W.-S. Wang, Y.-Y. Xiang, Q.-H. Wang, F. Wang, F. Yang, and D.-H. Lee, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.035414 85, 035414 (2012).
44. W.-S. Wang, Z.-Z. Li, Y.-Y. Xiang, and Q.-H. Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.115135 87, 115135 (2013).
45. M. S. Hybertsen, M. Schlüter, and N. E. Christensen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.9028 39, 9028 (1989).
46. S. A. Maier, C. Honerkamp, and Q.-H. Wang, Symmetry 2073-8994 10.3390/sym5040313 5, 313 (2013).
47. R. Thomale, C. Platt, J. Hu, C. Honerkamp, and B. A. Bernevig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.180505 80, 180505 (2009).
48. S. A. Maier and C. Honerkamp, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.064520 85, 064520 (2012).
49. M. Salmhofer and C. Honerkamp, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.105.1 105, 1 (2001).
50. F. C. Zhang and T. M. Rice, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.3759 37, 3759 (1988).
51. J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00098-9 363, 223 (2002).
52. S. Uebelacker and C. Honerkamp, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.235140 86, 235140 (2012).
53. M. L. Kiesel, C. Platt, and R. Thomale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.126405 110, 126405 (2013).
54. J. Berntsen, T. O. Espelid, and A. Genz, ACM Trans. Math. Softw. ACMSCU 0098-3500 10.1145/210232.210234 17, 452 (1991). (Pubitemid 23599693)
55. M. Vojta, Y. Zhang, and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4940 85, 4940 (2000). (Pubitemid 32871674)
56. Q.-H. Wang (private communication).
57. M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).
58. J. Otsuki, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.104513 85, 104513 (2012).
59. K.-U. Giering (private communication).
60. A. A. Katanin and A. P. Kampf, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.205128 72, 205128 (2005). (Pubitemid 43029422)
61. V. Hankevych, I. Grote, and F. Wegner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.094516 66, 094516 (2002).
62. A. Neumayr and W. Metzner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.035112 67, 035112 (2003).
63. S. Bulut, W. A. Atkinson, and A. P. Kampf, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.88.155132 88, 155132 (2013).
64. C. Husemann and W. Metzner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.085113 86, 085113 (2012).
65. M. Greiter and R. Thomale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.027005 99, 027005 (2007). (Pubitemid 47117038)
66. Y. Ando, K. Segawa, S. Komiya, and A. N. Lavrov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.137005 88, 137005 (2002).
67. R. Daou, J. Chang, D. LeBoeuf, O. Cyr-Choiniere, F. Laliberte, N. Doiron-Leyraud, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature (London) NATUAS 0028-0836 10.1038/nature08716 463, 519 (2010).
68. V. Hinkov, S. Pailhes, P. Bourges, Y. Sidis, A. Ivanov, A. Kulakov, C. T. Lin, D. P. Chen, C. Bernhard, and B. Keimer, Nature (London) NATUAS 0028-0836 10.1038/nature02774 430, 650 (2004). (Pubitemid 39061675)
69. V. Hinkov, D. Haug, B. Fauqu, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Science SCIEAS 0036-8075 10.1126/science.1152309 319, 597 (2008). (Pubitemid 351210573)
70. R. M. Fernandes and J. Schmalian, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.014521 82, 014521 (2010).
71. S. Friederich, H. C. Krahl, and C. Wetterich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.155125 83, 155125 (2011).
72. A. Eberlein and W. Metzner, arXiv: 1308.4845.
73. M. Le Tacon, A. Sacuto, A. Georges, G. Kotliar, Y. Gallais, D. Colson, and A. Forget, Nat. Phys. 1745-2473 10.1038/nphys362 2, 537 (2006). (Pubitemid 44172629)
74. K. Tanaka, W. S. Lee, D. H. Lu, A. Fujimori, T. Fujii, Risdiana, I. Terasaki, D. J. Scalapino, T. P. Devereaux, Z. Hussain, and Z.-X. Shen, Science SCIEAS 0036-8075 10.1126/science.1133411 314, 1910 (2006). (Pubitemid 46026110)
75. M. Salmhofer, C. Honerkamp, W. Metzner, and O. Lauscher, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.112.943 112, 943 (2004). (Pubitemid 40366574)
76. R. Gersch, C. Honerkamp, and W. Metzner, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/4/045003 10, 045003 (2008).
77. A. Eberlein and W. Metzner, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.124.471 124, 471 (2010).
78. A. Eberlein and W. Metzner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.174523 87, 174523 (2013).
79. S. A. Maier and C. Honerkamp, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.134404 86, 134404 (2012).
80. Q.-H. Wang, C. Platt, Y. Yang, C. Honerkamp, F. C. Zhang, W. Hanke, T. M. Rice, and R. Thomale, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/104/ 17013 104, 17013 (2013).