Quasiparticle Nernst effect in stripe-ordered cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 4, 2010, Pages

  Hackl, Andreas ^a   Vojta, Matthias ^a   Sachdev, Subir ^b  

^a UNIVERSITY OF COLOGNE   (Germany)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954828793     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.045102     Document Type: Article

References (82)

1. T. Timusk and B. W. Statt, Rep. Prog. Phys. 62, 61 (1999). 10.1088/0034-4885/62/1/002
2. M. R. Norman, D. Pines, and C. Kallin, Adv. Phys. 54, 715 (2005). 10.1080/00018730500459906
3. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). 10.1103/RevModPhys.78.17
4. C. Caroli and K. Maki, Phys. Rev. 164, 591 (1967) 10.1103/PhysRev.164.591
5. K. Maki, Phys. Rev. Lett. 21, 1755 (1968). 10.1103/PhysRevLett.21.1755
6. S. Mukerjee and D. A. Huse, Phys. Rev. B 70, 014506 (2004). 10.1103/PhysRevB.70.014506
7. Z. A. Xu, N. P. Ong, Y. Wang, T. Kakeshita, and S. Uchida, Nature (London) 406, 486 (2000). 10.1038/35020016
8. Y. Wang, L. Li, and N. P. Ong, Phys. Rev. B 73, 024510 (2006). 10.1103/PhysRevB.73.024510
9. Y. Wang, L. Li, M. J. Naughton, G. D. Gu, S. Uchida, and N. P. Ong, Phys. Rev. Lett. 95, 247002 (2005). 10.1103/PhysRevLett.95.247002
10. I. Ussishkin, S. L. Sondhi, and D. A. Huse, Phys. Rev. Lett. 89, 287001 (2002). 10.1103/PhysRevLett.89.287001
11. I. Ussishkin, Phys. Rev. B 68, 024517 (2003). 10.1103/PhysRevB.68.024517
12. D. Podolsky, S. Raghu, and A. Vishwanath, Phys. Rev. Lett. 99, 117004 (2007). 10.1103/PhysRevLett.99.117004
13. S. Raghu, D. Podolsky, A. Vishwanath, and D. A. Huse, Phys. Rev. B 78, 184520 (2008). 10.1103/PhysRevB.78.184520
14. K. Behnia, J. Phys.: Condens. Matter 21, 113101 (2009). 10.1088/0953-8984/21/11/113101
15. V. Oganesyan and I. Ussishkin, Phys. Rev. B 70, 054503 (2004). 10.1103/PhysRevB.70.054503
16. S. Tewari and C. Zhang, Phys. Rev. Lett. 103, 077001 (2009). 10.1103/PhysRevLett.103.077001
17. C. Zhang, S. Tewari, and S. Chakravarty, arXiv:0910.1966 (unpublished).
18. O. Cyr-Choinière, R. Daou, F. Laliberte, D. LeBoeuf, N. Doiron-Leyraud, J. Chang, J.-Q. Yan, J.-G. Cheng, J.-S. Zhou, J. B. Goodenough, S. Pyon, T. Takayama, H. Takagi, Y. Tanaka, and L. Taillefer, Nature (London) 458, 743 (2009). 10.1038/nature07931
19. N. Doiron-Leyraud, C. Proust, D. LeBoeuf, J. Levallois, J.-B. Bonnemaison, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature (London) 447, 565 (2007). 10.1038/nature05872
20. S. E. Sebastian, N. Harrison, E. Palm, T. P. Murphy, C. H. Mielke, R. Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich, Nature (London) 454, 200 (2008). 10.1038/nature07095
21. E. A. Yelland, J. Singleton, C. H. Mielke, N. Harrison, F. F. Balakirev, B. Dabrowski, and J. R. Cooper, Phys. Rev. Lett. 100, 047003 (2008). 10.1103/PhysRevLett.100.047003
22. D. Haug, V. Hinkov, A. Suchaneck, D. S. Inosov, N. B. Christensen, C. Niedermayer, P. Bourges, Y. Sidis, J. T. Park, A. Ivanov, C. T. Lin, J. Mesot, and B. Keimer, Phys. Rev. Lett. 103, 017001 (2009). 10.1103/PhysRevLett.103. 017001
23. A. J. Millis and M. R. Norman, Phys. Rev. B 76, 220503 (R) (2007). 10.1103/PhysRevB.76.220503
24. N. Harrison, Phys. Rev. Lett. 102, 206405 (2009). 10.1103/PhysRevLett. 102.206405
25. I. Dimov, P. Goswami, X. Jia, and S. Chakravarty, Phys. Rev. B 78, 134529 (2008). 10.1103/PhysRevB.78.134529
26. S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. 75, 1201 (2003). 10.1103/RevModPhys.75.1201
27. M. Vojta, Adv. Phys. 58, 699 (2009). 10.1080/00018730903122242
28. J. Chang, R. Daou, C. Proust, D. LeBoeuf, N. Doiron-Leyraud, F. Laliberte, B. Pingault, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, H. Takagi, A. Antunes, I. Sheikin, K. Behnia, and L. Taillefer, arXiv:0907.5039 (unpublished).
29. S. A. Hartnoll, P. K. Kovtun, M. Müller, and S. Sachdev, Phys. Rev. B 76, 144502 (2007). 10.1103/PhysRevB.76.144502
30. A. Hackl and S. Sachdev, Phys. Rev. B 79, 235124 (2009). 10.1103/PhysRevB.79.235124
31. P. Li and R. L. Greene, Phys. Rev. B 76, 174512 (2007). 10.1103/PhysRevB.76.174512
32. 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, arXiv:0909.4430 (unpublished).
33. J. Lin and A. J. Millis, Phys. Rev. B 78, 115108 (2008). 10.1103/PhysRevB.78.115108
34. M. R. Norman, M. Randeria, H. Ding, and J. C. Campuzano, Phys. Rev. B 52, 615 (1995). 10.1103/PhysRevB.52.615
35. O. K. Andersen, A. I. Liechtenstein, O. Jepsen, and F. Paulsen, J. Phys. Chem. Solids 56, 1573 (1995). 10.1016/0022-3697(95)00269-3
36. O. Zachar, S. A. Kivelson, and V. J. Emery, Phys. Rev. B 57, 1422 (1998). 10.1103/PhysRevB.57.1422
37. J. M. Tranquada, B. J. Sternlieb, J. D. Axe, Y. Nakamura, and S. Uchida, Nature (London) 375, 561 (1995). 10.1038/375561a0
38. S. Wakimoto, G. Shirane, Y. Endoh, K. Hirota, S. Ueki, K. Yamada, R. J. Birgeneau, M. A. Kastner, Y. S. Lee, P. M. Gehring, and S. H. Lee, Phys. Rev. B 60, R769 (1999). 10.1103/PhysRevB.60.R769
39. C. Stock, W. J. L. Buyers, Z. Yamani, C. L. Broholm, J.-H. Chung, Z. Tun, R. Liang, D. Bonn, W. N. Hardy, and R. J. Birgeneau, Phys. Rev. B 73, 100504 (2006). 10.1103/PhysRevB.73.100504
40. D. Haug (unpublished).
41. V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Science 319, 597 (2008). 10.1126/science.1152309
42. S.-W. Cheong, G. Aeppli, T. E. Mason, H. Mook, S. M. Hayden, P. C. Canfield, Z. Fisk, K. N. Clausen, and J. L. Martinez, Phys. Rev. Lett. 67, 1791 (1991). 10.1103/PhysRevLett.67.1791
43. C. Stock, W. J. L. Buyers, R. Liang, D. Peets, Z. Tun, D. Bonn, W. N. Hardy, and R. J. Birgeneau, Phys. Rev. B 69, 014502 (2004). 10.1103/PhysRevB.69. 014502
44. B. Lake, G. Aeppli, K. N. Clausen, D. F. McMorrow, K. Lefmann, N. E. Hussey, N. Mangkorntong, M. Nohara, H. Takagi, T. E. Mason, and A. Schröder, Science 291, 1759 (2001). 10.1126/science.1056986
45. J. Chang, N. B. Christensen, Ch. Niedermayer, K. Lefmann, H. M. Ronnow, D. F. McMorrow, A. Schneidewind, P. Link, A. Hiess, M. Boehm, R. Mottl, S. Pailhes, N. Momono, M. Oda, M. Ido, and J. Mesot, Phys. Rev. Lett. 102, 177006 (2009). 10.1103/PhysRevLett.102.177006
46. H. A. Mook, P. Dai, and F. Doǧan, Phys. Rev. Lett. 88, 097004 (2002). 10.1103/PhysRevLett.88.097004
47. C. Howald, H. Eisaki, N. Kaneko, M. Greven, and A. Kapitulnik, Phys. Rev. B 67, 014533 (2003). 10.1103/PhysRevB.67.014533
48. Y. Kohsaka, C. Taylor, P. Wahl, A. Schmidt, J. Lee, K. Fujita, J. W. Alldredge, J. Lee, K. McElroy, H. Eisaki, S. Uchida, D.-H. Lee, and J. C. Davis, Science 315, 1380 (2007). 10.1126/science.1138584
49. D. Podolsky, E. Demler, K. Damle, and B. I. Halperin, Phys. Rev. B 67, 094514 (2003). 10.1103/PhysRevB.67.094514
50. M. Vojta and O. Rösch, Phys. Rev. B 77, 094504 (2008). 10.1103/PhysRevB.77.094504
51. K. Ohishi, I. Yamada, A. Koda, W. Higemoto, S. R. Saha, R. Kadono, K. M. Kojima, M. Azuma, and M. Takano, J. Phys. Soc. Jpn. 74, 2408 (2005). 10.1143/JPSJ.74.2408
52. T. M. Rice, Phys. Rev. B 2, 3619 (1970). 10.1103/PhysRevB.2.3619
53. E. Fawcett, Rev. Mod. Phys. 60, 209 (1988). 10.1103/RevModPhys.60.209
54. Ya. B. Bazaliy, R. Ramazashvili, Q. Si, and M. R. Norman, Phys. Rev. B 69, 144423 (2004). 10.1103/PhysRevB.69.144423
55. M. Vojta, Phys. Rev. B 78, 144508 (2008). 10.1103/PhysRevB.78.144508
56. M. Vojta and S. Sachdev, Phys. Rev. Lett. 83, 3916 (1999). 10.1103/PhysRevLett.83.3916
57. M. Vojta, Phys. Rev. B 66, 104505 (2002). 10.1103/PhysRevB.66.104505
58. Our sign of V c is different from that in Refs.. With the sign used there, the electron density comes out to be enhanced (instead of suppressed) in the antiphase domain walls of the magnetic stripe order
59. J. Lin and A. J. Millis, Phys. Rev. B 80, 193107 (2009). 10.1103/PhysRevB.80.193107
60. J. M. Ziman, Electrons and Phonons (Oxford University Press, Oxford, 1960).
61. R. D. Barnard, Thermoelectricity in Metals and Alloys (Taylor & Francis, London, 1972).
62. One could go beyond the assumption of a constant τ 0 by employing a golden-rule calculation of the scattering rate from pointlike static impurities. As a result, τ would increase in the ordered state and would acquire some energy dependence (due to gap opening). However, as the quasiparticle Nernst coefficient appears to be dominated by band-structure effects, we neglect this physics here.
63. S. Onari, H. Kontani, and Y. Tanaka, Phys. Rev. B 73, 224434 (2006). 10.1103/PhysRevB.73.224434
64. Y. Wang, Z. A. Xu, T. Kakeshita, S. Uchida, S. Ono, Y. Ando, and N. P. Ong, Phys. Rev. B 64, 224519 (2001). 10.1103/PhysRevB.64.224519
65. A. L. Andrew and R. C. E. Tan, Commun. Numer. Methods Eng. 15, 641 (1999). 10.1002/(SICI)1099-0887(199909)15:9<641::AID-CNM278>3.0.CO;2-1
66. E. H. Sondheimer, Proc. R. Soc. London, Ser. A 193, 484 (1948). 10.1098/rspa.1948.0058
67. B. Nachumi, Y. Fudamoto, A. Keren, K. M. Kojima, M. Larkin, G. M. Luke, J. Merrin, O. Tchernyshyov, Y. J. Uemura, N. Ichikawa, M. Goto, H. Takagi, S. Uchida, M. K. Crawford, E. M. McCarron, D. E. MacLaughlin, and R. H. Heffner, Phys. Rev. B 58, 8760 (1998). 10.1103/PhysRevB.58.8760
68. L. Taillefer, J. Phys.: Condens. Matter 21, 164212 (2009). 10.1088/0953-8984/21/16/164212
69. E. I. Blount, Phys. Rev. 126, 1636 (1962). 10.1103/PhysRev.126.1636
70. X. J. Zhou, T. Yoshida, A. Lanzara, P. V. Bogdanov, S. A. Kellar, K. M. Shen, W. L. Yang, F. Ronning, T. Sasagawa, T. Kakeshita, T. Noda, H. Eisaki, S. Uchida, C. T. Lin, F. Zhou, J. W. Xiong, W. X. Ti, Z. X. Zhao, A. Fujimori, Z. Hussain, and Z.-X. Shen, Nature (London) 423, 398 (2003). 10.1038/423398a
71. N. Ichikawa, S. Uchida, J. M. Tranquada, T. Niemöller, P. M. Gehring, S.-H. Lee, and J. R. Schneider, Phys. Rev. Lett. 85, 1738 (2000). 10.1103/PhysRevLett.85.1738
72. T. Valla, A. V. Fedorov, P. D. Johnson, Q. Li, G. D. Gu, and N. Koshizuka, Phys. Rev. Lett. 85, 828 (2000). 10.1103/PhysRevLett.85.828
73. P. Abbamonte, A. Rusydi, S. Smadici, G. D. Gu, G. A. Sawatzky, and D. L. Feng, Nat. Phys. 1, 155 (2005). 10.1038/nphys178
74. D. LeBoeuf, N. Doiron-Leyraud, J. Levallois, R. Daou, J.-B. Bonnemaison, N. E. Hussey, L. Balicas, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, S. Adachi, C. Proust, and L. Taillefer, Nature (London) 450, 533 (2007). 10.1038/nature06332
75. J. Singleton, R. D. McDonald, and S. Cox, Physica B 404, 350 (2009). 10.1016/j.physb.2008.11.013
76. A. Kanigel, M. R. Norman, M. Randeria, U. Chatterjee, S. Souma, A. Kaminski, H. M. Fretwell, S. Rosenkranz, M. Shi, T. Sato, T. Takahashi, Z. Z. Li, H. Raffy, K. Kadowaki, D. Hinks, L. Ozyuzer, and J. C. Campuzano, Nat. Phys. 2, 447 (2006). 10.1038/nphys334
77. R.-H. He, K. Tanaka, S.-K. Mo, T. Sasagawa, M. Fujita, T. Adachi, N. Mannella, K. Yamada, Y. Koike, Z. Hussain, and Z.-X. Shen, Nat. Phys. 5, 119 (2009). 10.1038/nphys1159
78. T. Valla, A. V. Fedorov, J. Lee, J. C. Davis, and G. D. Gu, Science 314, 1914 (2006). 10.1126/science.1134742
79. T. Senthil and P. A. Lee, Phys. Rev. B 79, 245116 (2009). 10.1103/PhysRevB.79.245116
80. S. Chakravarty, C. Nayak, and S. Tewari, Phys. Rev B 68, 100504 (R) (2003). 10.1103/PhysRevB.68.100504
81. S. Sakai, Y. Motome, and M. Imada, Phys. Rev. Lett. 102, 056404 (2009). 10.1103/PhysRevLett.102.056404
82. A. Hackl and M. Vojta, Phys. Rev. B 80, 220514 (R) (2009). 10.1103/PhysRevB.80.220514