Modulation of the local density of states within the d-density wave theory of the underdoped cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 22, 2005, Pages

  Ghosal, Amit ^a   Kopp, Angela ^a   Chakravarty, Sudip ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29644435492     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.220502     Document Type: Article

References (48)

1. S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1201 75, 1201 (2003).
2. S. Chakravarty, R. B. Laughlin, D. K. Morr, and C. Nayak, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.094503 63, 094503 (2001).
3. S. Tewari, H.-Y. Kee, C. Nayak, and S. Chakravarty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.224516 64, 224516 (2001);
4. S. Chakravarty, H.-Y. Kee, and C. Nayak, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979201007002 15, 2901 (2001);
5. S. Chakravarty, C. Nayak, S. Tewari, and X. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277003 89, 277003 (2002);
6. K. Hamada and D. Yoshioka, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.184503 67, 184503 (2003);
7. H.-Y. Kee and Y. B. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.012505 66, 012505 (2002);
8. S. Chakravarty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.224505 66, 224505 (2002);
9. H.-Y. Kee and Y. B. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.052504 66, 052504 (2002);
10. S. Chakravarty, H.-Y. Kee, and K. Voelker, Nature (London) NATUAS 0028-0836 10.1038/nature02348 428, 53 (2004);
11. S. Tewari, S. Chakravarty, J. O. Fjaerestad, C. Nayak, and R. S. Thompson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.014514 70, 014514 (2004).
12. H. A. Mook, P. Dai, S. M. Hayden, A. Hiess, S.-H. Lee, and F. Dogan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.134509 69, 134509 (2004);
13. H. A. Mook, P. Dai, S. M. Hayden, A. Hiess, J. W. Lynn, S.-H. Lee, and F. Dogan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.144513 66, 144513 (2002).
14. C. Wu, J. Zaanen, and S.-C. Zhang, cond-mat/0505544 (unpublished).
15. J. E. Hoffman, K. McElroy, D.-H. Lee, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Science SCIEAS 0036-8075 10.1126/science.1072640 297, 1148 (2002).
16. C. Howald, H. Eisaki, N. Kaneko, M. Greven, and A. Kapitulnik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.014533 67, 014533 (2003).
17. K. McElroy, R. W. Simmonds, J. E. Hoffman, D.-H. Lee, J. Orenstein, H. Eisaki, S. Uchida, and J. C. Davis, Nature (London) NATUAS 0028-0836 10.1038/nature01496 422, 592 (2003).
18. K. McElroy, D.-H. Lee, J. E. Hoffman, K. M. Lang, J. Lee, E. W. Hudson, H. Eisaki, S. Uchida, and J. C. Davis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.197005 94, 197005 (2005);
19. cond-mat/0404005 (unpublished).
20. M. Vershinin, S. Misra, S. Ono, Y. Abe, Y. Ando, and Ali Yazdani, Science SCIEAS 0036-8075 10.1126/science.1093384 303, 1995 (2004).
21. A. Fang, C. Howald, N. Kaneko, M. Greven, and A. Kapitulnik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.214514 70, 214514 (2004);
22. A. Kapitulnik, A. Fang, C. Howald, and M. Greven, cond-mat/0407743 (unpublished).
23. J. M. Byers, M. E. Flatte, and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3363 71, 3363 (1993);
24. M. E. Flatte and J. M. Byers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4546 80, 4546 (1998).
25. L. Capriotti, D. J. Scalapino, and R. D. Sedgewick, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.014508 68, 014508 (2003).
26. Q.-H. Wang and D.-H. Lee, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.020511 67, 020511 (R) (2003).
27. C. Bena, S. Chakravarty, J. Hu, and C. Nayak, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.134517 69, 134517 (2004).
28. C. Bena, S. Chakravarty, J.-P. Hu, and C. Nayak, cond-mat/0405468 (unpublished).
29. D. Podolski, E. Demler, K. Damle, and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.094514 67, 094514 (2003).
30. C.-T. Chen and N.-C. Yeh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.220505 68, 220505 (R) (2003).
31. A. Polkovnikov, S. Sachdev, and M. Vojta, Physica C PHYCE6 0921-4534 388-389, 19 (2003).
32. H.-D. Chen, O. Vafek, A. Yazdani, and S.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.187002 93, 187002 (2004).
33. H. C. Fu, J. C. Davis, and D.-H. Lee, cond-mat/0403001 (unpublished).
34. T. Pereg-Barnea and M. Franz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.180506 68, 180506 (R) (2003).
35. U. Chatterjee, cond-mat/0505296 (unpublished).
36. The definition of q* in this paper is different from ours. Our q* exists only at high energies, as in Ref..
37. K. McElroy, cond-mat/0505333 (unpublished).
38. A. Ghosal, M. Randeria, and N. Trivedi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.020505 63, 020505 (R) (2000).
39. A. Ghosal and H.-Y. Kee, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.224513 69, 224513 (2004).
40. Highly complex BdG equations restricted us to the first three nontrivial band structure parameters from M. R. Norman, M. Randeria, H. Ding, and J. C. Campuzano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.615 52, 615 (1994).
41. The precise value of q*, but not its existence, depends sensitively on the band parameters (Ref.).
42. The J and W terms contribute to both DDW and DSC at the mean field level. We keep both to tune them independently.
43. See Ref. as well as C. Wu and W. V. Liu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.020511 66, 020511 (R) (2002) for further details.
44. A. Ghosal, C. Kallin, and A. J. Berlinsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.214502 66, 214502 (2002).
45. A. V. Balatsky, M. I. Salkola, and A. Rosengren, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.15547 51, 15547 (1995);
46. S. H. Pan, E. W. Hudson, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Nature (London) NATUAS 0028-0836 10.1038/35001534 403, 746 (2000).
47. L. Zhu, W. A. Atkinson, and P. J. Hirschfeld, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.060503 69, 060503 (R) (2004).
48. T. Hanaguri, C. Lupien, Y. Kohsaka, D.-H. Lee, M. Azuma, M. Takano, H. Takagi, and J. C. Davis, Nature (London) NATUAS 0028-0836 10.1038/nature02861 430, 1001 (2004).