Non-Fermi-liquid signatures in the Hubbard model due to van Hove singularities

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 15, 2010, Pages

  Schmitt, Sebastian ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149276252     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.155126     Document Type: Article

References (91)

1. R. Shankar, Rev. Mod. Phys. 66, 129 (1994). 10.1103/RevModPhys.66.129
2. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, USA, 1963).
3. A. Virosztek and J. Ruvalds, Phys. Rev. B 42, 4064 (1990). 10.1103/PhysRevB.42.4064
4. J. Voit, Rep. Prog. Phys. 58, 977 (1995). 10.1088/0034-4885/58/9/002
5. C. Varma, Z. Nussinov, and W. van Saarloos, Phys. Rep. 361, 267 (2002). 10.1016/S0370-1573(01)00060-6
6. M. Vojta, Rep. Prog. Phys. 66, 2069 (2003). 10.1088/0034-4885/66/12/R01
7. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996). 10.1103/RevModPhys.68.13
8. T. Pruschke, M. Jarrell, and J. Freericks, Adv. Phys. 44, 187 (1995). 10.1080/00018739500101526
9. E. Müller-Hartmann, Z. Phys. B: Condens. Matter 76, 211 (1989). 10.1007/BF01312686
10. M. Jarrell and T. Pruschke, Phys. Rev. B 49, 1458 (1994). 10.1103/PhysRevB.49.1458
11. T. Pruschke, D. L. Cox, and M. Jarrell, Phys. Rev. B 47, 3553 (1993). 10.1103/PhysRevB.47.3553
12. J. Merino and R. H. McKenzie, Phys. Rev. B 61, 7996 (2000). 10.1103/PhysRevB.61.7996
13. R. Bulla, Phys. Rev. Lett. 83, 136 (1999). 10.1103/PhysRevLett.83.136
14. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993). 10.1017/CBO9780511470752
15. N. Grewe, Ann. Phys. 14, 611 (2005). 10.1002/andp.200510151
16. N. Grewe, S. Schmitt, T. Jabben, and F. B. Anders, J. Phys.: Condens. Matter 20, 365217 (2008). 10.1088/0953-8984/20/36/365217
17. C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, Phys. Rev. Lett. 63, 1996 (1989). 10.1103/PhysRevLett.63.1996
18. D. M. Newns, P. C. Pattnaik, and C. C. Tsuei, Phys. Rev. B 43, 3075 (1991). 10.1103/PhysRevB.43.3075
19. D. M. Newns, C. C. Tsuei, P. C. Pattnaik, and C. L. Kane, Comments Condens. Matter Phys. 15, 273 (1992).
20. S. Gopalan, O. Gunnarsson, and O. K. Andersen, Phys. Rev. B 46, 11798 (1992). 10.1103/PhysRevB.46.11798
21. R. Hlubina and T. M. Rice, Phys. Rev. B 51, 9253 (1995). 10.1103/PhysRevB.51.9253
22. I. Dzyaloshinskii, J. Phys. I 6, 119 (1996). 10.1051/jp1:1996127
23. R. S. Markiewicz, J. Phys. Chem. Solids 58, 1179 (1997). 10.1016/S0022-3697(97)00025-5
24. D. Menashe and B. Laikhtman, Phys. Rev. B 59, 13592 (1999). 10.1103/PhysRevB.59.13592
25. F. Onufrieva and P. Pfeuty, Phys. Rev. Lett. 82, 3136 (1999). 10.1103/PhysRevLett.82.3136
26. G. Kastrinakis, Physica C 340, 119 (2000). 10.1016/S0921-4534(00)00383-X
27. V. Y. Irkhin and A. A. Katanin, Phys. Rev. B 64, 205105 (2001). 10.1103/PhysRevB.64.205105
28. A. A. Katanin and A. P. Kampf, Phys. Rev. B 68, 195101 (2003). 10.1103/PhysRevB.68.195101
29. R. Roldán, M. P. López-Sancho, F. Guinea, and S.-W. Tsai, Phys. Rev. B 74, 235109 (2006). 10.1103/PhysRevB.74.235109
30. A. A. Katanin and A. P. Kampf, Phys. Rev. Lett. 93, 106406 (2004). 10.1103/PhysRevLett.93.106406
31. D. Rohe and W. Metzner, Phys. Rev. B 71, 115116 (2005). 10.1103/PhysRevB.71.115116
32. P. Schlottmann, Phys. Rev. B 68, 125105 (2003). 10.1103/PhysRevB.68. 125105
33. W. Jones and N. H. March, Theoretical Solid State Physics (Wiley, London, 1973).
34. V. Y. Irkhin, A. A. Katanin, and M. I. Katsnelson, Phys. Rev. Lett. 89, 076401 (2002). 10.1103/PhysRevLett.89.076401
35. Q. Si and K. Levin, Phys. Rev. B 44, 4727 (1991). 10.1103/PhysRevB.44. 4727
36. P. Majumdar and H. Krishnamurthy, arXiv:cond-mat/9604057 (unpublished).
37. J. González, F. Guinea, and M. A. H. Vozmediano, Nucl. Phys. B 485, 694 (1997). 10.1016/S0550-3213(96)00620-7
38. S. Odashima, A. Avella, and F. Mancini, Phys. Rev. B 72, 205121 (2005). 10.1103/PhysRevB.72.205121
39. A. Macridin, M. Jarrell, T. Maier, and G. A. Sawatzky, Phys. Rev. B 71, 134527 (2005). 10.1103/PhysRevB.71.134527
40. T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. 77, 1027 (2005). 10.1103/RevModPhys.77.1027
41. A. Liebsch and N.-H. Tong, Phys. Rev. B 80, 165126 (2009). 10.1103/PhysRevB.80.165126
42. B. Kyung, S. S. Kancharla, D. Sénéchal, A.-M. S. Tremblay, M. Civelli, and G. Kotliar, Phys. Rev. B 73, 165114 (2006). 10.1103/PhysRevB.73. 165114
43. A. Macridin, M. Jarrell, T. Maier, P. R. C. Kent, and E. D'Azevedo, Phys. Rev. Lett. 97, 036401 (2006). 10.1103/PhysRevLett.97.036401
44. A. A. Katanin, A. Toschi, and K. Held, Phys. Rev. B 80, 075104 (2009). 10.1103/PhysRevB.80.075104
45. A.-M. S. Tremblay, B. Kyung, and D. Snchal, Low Temp. Phys. 32, 424 (2006). 10.1063/1.2199446
46. T. Pruschke and N. Grewe, Z. Phys. B: Condens. Matter 74, 439 (1989). 10.1007/BF01311391
47. J. Holm and K. Schönhammer, Solid State Commun. 69, 969 (1989). 10.1016/0038-1098(89)90006-9
48. H. Keiter and Q. Qin, Physica B 163, 594 (1990). 10.1016/0921-4526(90) 90279-4
49. N. E. Bickers, Rev. Mod. Phys. 59, 845 (1987). 10.1103/RevModPhys.59.845
50. S. Schmitt, T. Jabben, and N. Grewe, Phys. Rev. B 80, 235130 (2009). 10.1103/PhysRevB.80.235130
51. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1003 (1980). 10.1103/PhysRevB.21.1003
52. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1044 (1980). 10.1103/PhysRevB.21.1044
53. R. Bulla, T. Costi, and T. Pruschke, Rev. Mod. Phys. 80, 395 (2008). 10.1103/RevModPhys.80.395
54. F. B. Anders and A. Schiller, Phys. Rev. B 74, 245113 (2006). 10.1103/PhysRevB.74.245113
55. F. B. Anders and A. Schiller, Phys. Rev. Lett. 95, 196801 (2005). 10.1103/PhysRevLett.95.196801
56. R. Peters, T. Pruschke, and F. B. Anders, Phys. Rev. B 74, 245114 (2006). 10.1103/PhysRevB.74.245114
57. V. L. Campo and L. N. Oliveira, Phys. Rev. B 72, 104432 (2005). 10.1103/PhysRevB.72.104432
58. R. Bulla, T. A. Costi, and D. Vollhardt, Phys. Rev. B 64, 045103 (2001). 10.1103/PhysRevB.64.045103
59. S. Schmitt, Ph.D. thesis, TU Darmstadt, 2008.
60. R. Bulla, T. Pruschke, and A. Hewson, J. Phys.: Condens. Matter 9, 10463 (1997). 10.1088/0953-8984/9/47/014
61. C. Gonzalez-Buxton and K. Ingersent, Phys. Rev. B 57, 14254 (1998). 10.1103/PhysRevB.57.14254
62. D. E. Logan and M. T. Glossop, J. Phys.: Condens. Matter 12, 985 (2000). 10.1088/0953-8984/12/6/320
63. M. Glossop and D. Logan, Eur. Phys. J. B 13, 513 (2000). 10.1007/s100510050063
64. K. Ingersent and Q. Si, Phys. Rev. Lett. 89, 076403 (2002). 10.1103/PhysRevLett.89.076403
65. M. T. Glossop and D. E. Logan, J. Phys.: Condens. Matter 15, 7519 (2003). 10.1088/0953-8984/15/44/007
66. L. Fritz and M. Vojta, Phys. Rev. B 70, 214427 (2004). 10.1103/PhysRevB.70.214427
67. L. Fritz, S. Florens, and M. Vojta, Phys. Rev. B 74, 144410 (2006). 10.1103/PhysRevB.74.144410
68. K. Byczuk, M. Kollar, K. Held, Y.-F. Yang, I. A. Nekrasov, T. Pruschke, and D. Vollhardt, Nat. Phys. 3, 168 (2007). 10.1038/nphys538
69. C. Raas, P. Grete, and G. S. Uhrig, Phys. Rev. Lett. 102, 076406 (2009). 10.1103/PhysRevLett.102.076406
70. J. M. Luttinger, Phys. Rev. 121, 942 (1961). 10.1103/PhysRev.121.942
71. +) ∼ Ι
72. R. Žitko, J. Bonča, and T. Pruschke, Phys. Rev. B 80, 245112 (2009). 10.1103/PhysRevB.80.245112
73. A. Khurana, Phys. Rev. Lett. 64, 1990 (1990). 10.1103/PhysRevLett.64.1990
74. H. Schweitzer and G. Czycholl, Phys. Rev. Lett. 67, 3724 (1991). 10.1103/PhysRevLett.67.3724
75. E. Müller-Hartmann, Z. Phys. B: Condens. Matter 74, 507 (1989). 10.1007/BF01311397
76. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
77. O. Gunnarsson, M. Calandra, and J. E. Han, Rev. Mod. Phys. 75, 1085 (2003). 10.1103/RevModPhys.75.1085
78. 2 is not completely clear to us at present. It is probably related to the neglect of vertex correction within DMFT. Ignoring the momentum dependence in the two-particle vertex leads to a violation of momentum conservation at internal vertices (Ref.). The resultant mean-field decoupling in the Bethe-Salpeter equations (Refs.) for the two-particle current-current correlation function introduces additional averages over the Brillouin zone and mimics an effectively higher dimensionality for transport quantities.
79. A. Lanzara, Nature (London) 412, 510 (2001). 10.1038/35087518
80. Z. X. Shen, A. Lanzara, S. Ishihara, and N. Nagaosa, Philos. Mag. B 82, 1349 (2002). 10.1080/13642810210142735
81. A. Macridin, M. Jarrell, T. Maier, and D. J. Scalapino, Phys. Rev. Lett. 99, 237001 (2007). 10.1103/PhysRevLett.99.237001
82. T. Valla, T. E. Kidd, W.-G. Yin, G. D. Gu, P. D. Johnson, Z.-H. Pan, and A. V. Fedorov, Phys. Rev. Lett. 98, 167003 (2007). 10.1103/PhysRevLett.98.167003
83. J. Graf, Phys. Rev. Lett. 98, 067004 (2007). 10.1103/PhysRevLett.98. 067004
84. J. W. Serene and D. W. Hess, Phys. Rev. B 44, 3391 (1991). 10.1103/PhysRevB.44.3391
85. N. S. Vidhyadhiraja, A. Macridin, C. Sen, M. Jarrell, and M. Ma, Phys. Rev. Lett. 102, 206407 (2009). 10.1103/PhysRevLett.102.206407
86. M. R. Norman, Nature (London) 392, 157 (1998). 10.1038/32366
87. A. Kanigel, Nat. Phys. 2, 447 (2006). 10.1038/nphys334
88. H.-B. Yang, J. D. Rameau, P. D. Johnson, T. Valla, A. Tsvelik, and G. D. Gu, Nature (London) 456, 77 (2008). 10.1038/nature07400
89. M. Jarrell, T. Maier, C. Huscroft, and S. Moukouri, Phys. Rev. B 64, 195130 (2001). 10.1103/PhysRevB.64.195130
90. M. Jarrell, Phys. Rev. B 51, 7429 (1995). 10.1103/PhysRevB.51.7429
91. S. Schmitt and N. Grewe, Physica B 359-361, 777 (2005). 10.1016/j.physb.2005.01.224