Quantum critical point associated with the electronic topological transition in a two-dimensional electron system as a driving force for anomalies in underdoped high cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 1, 2000, Pages 799-820

  Onufrieva, F ^a   Pfeuty, P ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000596673     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.799     Document Type: Article

References (71)

1. H. Alloul, T. Ohno, and P. Mendels, Bull. Am. Phys. Soc. 34, 633 (1989).
2. H. AlloulT. OhnoP. MendelsPhys. Rev. Lett. 63, 1700 (1989).
3. Phys. Rev. Lett.W. W. Warren, R. E. Walstedt, G. F. Brennert, R. J. Cava, R. Tycko, R. F. Bell, and G. Dabbagh, 62, 1193 (1989).
4. Phys. Rev. Lett.G. V. M. Williams, J. L. Tallon, E. M. Haines, R. Michalak, and R. Dupree, 78, 721 (1997).
5. M. Takigawa, Phys. Rev. B 49, 4158 (1994).
6. H. Ding, T. Yokoya, J. C. Campuzano, T. Takahashi, M. Randeria, M. R. Norman, T. Mochiku, K. Kadowaki, and J. Giapintzakis, Nature (London) 382, 51 (1996).
7. H. Ding, J. C. Campuzano, M. R. Norman, M. Randeria, T. Yokoya, T. Takahashi, T. Takeuchi, T. Mochiku, K. Kadowaki, P. Guptasarma, and D. G. Hinks, J. Phys. Chem. Solids 59, 1888 (1998).
8. D. S. Marshall, D. S. Dessau, A. G. Loeser, C-H. Park, A. Y. Matsuura, J. N. Eckstein, I. Bozovic, P. Fournier, A. Kapitulnik, W. E. Spicer, and Z-X. Shen, Phys. Rev. Lett. 76, 4841 (1996).
9. S. L. Cooper, G. A. Tkomas, J. Orenstein, D. H. Rapkine, M. Capizzi, T. Timusk, A. J. Millis, L. F. Schneemeyer, and J. V. Waszczak, Phys. Rev. B 40, 11 358 (1989).
10. A. V. Puchkov, P. Fournier, D. N. Basov, T. Timusk, A. Kapitulnik, and N. N. Kolesnikov, Phys. Rev. Lett. 77, 3212 (1996).
11. H. Y. Hwang, B. Batlogg, H. Takagi, H. L. Kao, J. Kwo, R. J. Cava, J. J. Krajewski, and W. F. Peck, Jr., Phys. Rev. Lett. 72, 2636 (1994).
12. J. L. Talon, J. R. Cooper, P. S. I. P. N. de Silva, G. V. M. Williams, and J. W. Loram, Phys. Rev. Lett. 75, 4114 (1995).
13. J. W. Loram, K. Mirza, J. R. Cooper, and W. Y. Liang, Phys. Rev. Lett. 71, 1740 (1993).
14. R. Nemetschek, M. Opel, C. Hoffmann, P. F. Müller, R. Hackl, H. Berger, L. Forro, A. Erb, and E. Walker, Phys. Rev. Lett. 78, 4837 (1997).
15. I. M. Lifshitz, Zh. Eksp. Teor. Fiz. 38, 1569 (1960) [Sov. Phys. JETP 11, 1130 (1960)].
16. A. A. Varlamov, V. S. Egorov, and A. Pantsulaya, Adv. Phys. 38, 465 (1989).
17. M. Kisselev, F. Bouis, F. Onufrieva, and P. Pfeuty, cond-mat/9804263, Eur. Phys. J. (to be published).
18. F. Onufrieva and P. Pfeuty, Phys. Rev. Lett. 82, 3136 (1999).
19. F. Onufrieva, P. Pfeuty, and M. Kisselev, Phys. Rev. Lett. 82, 2370 (1999).
20. R. E. Walstedt, B. S. Shastry, and S. W. Cheong, Phys. Rev. Lett. 72, 3610 (1994).
21. I. Mangelschots, M. Mali, J. Roos, D. Brinkmann, S. Rusiecki, J. Karpinski, and E. Kaldis, Physica C 194, 277 (1992);in Phase Separation in Cuprate Superconductors, edited by K. A. Muller and G. Benedek (World Scientific, Singapore, 1993), p. 262.
22. C. Berthier, M. H. Julien, M. Horvatic, and Y. Berthier, J. Phys. I 6, 2205 (1997).
23. L. Van Hove, Phys. Rev. 89, 1189 (1953).The existence of the logarithmic singularity in the density of states for the 2D case was first shown by E. Montroll (see Ref. 20) for the case of phonon density of states.
24. E. Montroll, J. Chem. Phys. 15, 575 (1947).
25. J. E. Hirsch and D. Scalapino, Phys. Rev. Lett. 56, 2732 (1986).
26. I. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 93, 1487 (1987) [Sov. Phys. JETP 66, 848 (1987)].
27. J. Labbe and J. Bok, Europhys. Lett. 3, 1225 (1987).
28. J. Friedel, J. Phys.: Condens. Matter 1, 7757 (1989).
29. R. J. Radtke, S. Ullah, K. Levin, and M. R. Norman, Phys. Rev. B 46, 11 975 (1992).
30. A. A. Abrikosov, J. C. Campuzano, and K. Gofron, Physica C 214, 73 (1993).
31. R. J. Elliott, P. Pfeuty, and C. Wood, Phys. Rev. Lett. 25, 443 (1970).
32. J. Hertz, Phys. Rev. B 14, 1165 (1976).
33. P. Pfeuty, R. Jullien, and K. A. Penson, in Real Space Renormalization (Springer-Verlag, Berlin, 1982), Vol. 30.
34. L. Sondhi, S. M. Girvin, J. P. Carini, and D. Shahar, Rev. Mod. Phys. 69, 315 (1997).
35. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
36. B. I. Halperin and T. M. Rice, Solid State Phys. 21, 115 (1968).
37. A. Kozlov and L. Maximov, Zh. Eksp. Teor. Fiz. 48, 1184 (1965) [Sov. Phys. JETP 21, 790 (1965)].
38. W. Kohn, Phys. Rev. Lett. 2, 393 (1959).
39. L. Roth, H. J. Zeiger, and T. A. Kaplan, Phys. Rev. 149, 519 (1966).
40. T. M. Rice, Phys. Rev. B 2, 3619 (1970).
41. P. Bénard, Liang Chen, and A-M. S. Tremblay, Phys. Rev. B 47, 15 217 (1993).
42. A. Millis, H. Monien, and D. Pines, Phys. Rev. B 42, 167 (1990).
43. Q. Si, Y. Zha, K. Levin, and J. Lu, Phys. Rev. B 47, 9055 (1993).
44. Y. Zha, Q. Si, and K. Levin, Physica C 201, 289 (1992).
45. P. Littlewood, J. Zaanen, G. Aeppli, and H. Monien, Phys. Rev. B 48, 487 (1993).
46. St. Lenck, J. Carbotte, and R. C. Dynes, Phys. Rev. B 49, 9111 (1994).
47. M. Lavagna and G. Stemman, Phys. Rev. B 49, 4235 (1994).
48. F. Onufrieva, Physica C 251, 348 (1995).
49. F. Onufrieva and J. Rossat-Mignod, Phys. Rev. B 52, 7572 (1995).
50. I. Mazin and V. Yakovenko, Phys. Rev. Lett. 75, 4134 (1995).
51. D. Z. Liu, Y. Zha, and K. Levin, Phys. Rev. Lett. 75, 4130 (1995).
52. A. Abrikosov, Phys. Rev. B 57, 8656 (1998).
53. F. Onufrieva, P. Pfeuty, and M. Kisselev, J. Phys. Chem. Solids 59, 1853 (1998).
54. F. Onufrieva, S. Petit, and Y. Sidis, Phys. Rev. B 54, 12 464 (1996).
55. J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
56. J. Hubbard, Proc. R. Soc. London, Ser. A 277, 237 (1964).
57. J. Hubbard, Proc. R. Soc. London, Ser. A 281, 401 (1964).
58. Z. Zou and P. W. Anderson, Phys. Rev. B 37, 627 (1988).
59. T. Tohyama and S. Maekawa, Czech. J. Phys. 46, 1953 (1996).
60. V. I. Belinicher and A. L. Chernyschev, Phys. Rev. B 47, 390 (1993).
61. Phys. Rev. BV. I. BelinicherA. L. Chernyschev49, 9746 (1994).
62. Phys. Rev. BV. I. BelinicherA. L. Chernyschev53, 335 (1996).
63. H. Ikeda and Y. Ohashi, Phys. Rev. Lett. 81, 3723 (1998).
64. F. Bouis, M. Kisselev, F. Onufrieva, and P. Pfeuty, cond-mat/9906369, Physica B (to be published).
65. T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism (Springer-Verlag, Berlin, 1982).
66. V. Barzykin and D. Pines, Phys. Rev. B 52, 13 585 (1995).
67. P. Bourges, H. F. Fong, L. P. Regnault, J. Bossy, C. Vettier, D. L. Milius, I. A. Aksay, and B. Keimer, Phys. Rev. B 56, R11 439 (1997).
68. P. Dai, H. A. Mook, S. M. Hayden, G. Aeppli, T. G. Perring, R. D. Hunt, and F. Dogan, Science 284, 1344 (1999).
69. J. Rossat-Mignod, L. P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J. Y. Henry, and G. Lapertot, Physica C 185-189, 86 (1991).
70. B. J. Sternlieb, G. Shirane, J. M. Tranquada, M. Sato, and S. Shamoto, Phys. Rev. B 47, 5320 (1993).
71. P. Bourges, L. P. Regnault, J. Y. Henry, C. Vettier, Y. Sidis, and P. Burlet, Physica B 215, 30 (1995).