Effect of phase fluctuations on the single-particle properties of underdoped cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 9, 1999, Pages 6438-6448

  Kwon, Hyok Jon ^a   Dorsey, Alan T ^a  

^a University of Florida ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001322469     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.6438     Document Type: Article

References (50)

1. M. Takigawa et al., Phys. Rev. B 43, 247 (1991);
2. G. V. M. Williams et al., Phys. Rev. Lett. 78, 721 (1997).
3. J. M. Tranquada et al., Phys. Rev. B 46, 5561 (1992).
4. S. L. Cooper et al., Phys. Rev. B 40, 11 358 (1989);
5. Phys. Rev. BJ. Orenstein et al., 42, 6342 (1990);
6. L. D. Rotter et al., Phys. Rev. Lett. 67, 2741 (1991);
7. S. L. Cooper et al., Phys. Rev. B 47, 8233 (1993);
8. C. C. Homes et al., Phys. Rev. Lett. 71, 1645 (1993);
9. Phys. Rev. Lett.A. V. Puchkov, P. Fournier, T. Timusk, and N. N. Kolesnikov, 77, 1853 (1996);
10. Phys. Rev. Lett.D. N. Basov et al., 77, 4090 (1996).
11. B. Bucher et al., Phys. Rev. Lett. 70, 2012 (1993);
12. Phys. Rev. Lett.T. Ito, K. Takenaka, and S. Uchida, 70, 3995 (1993);
13. Phys. Rev. Lett.T. Watanabe, T. Fujii, and A. Matsuda, 79, 2113 (1997).
14. R. Nemetschek et al., Phys. Rev. Lett. 78, 4837 (1997);
15. G. Blumberg et al., Science 278, 1427 (1997).
16. J. W. Loram, K. A. Mirza, J. R. Cooper, and W. Y. Liang, Phys. Rev. Lett. 71, 1740 (1993);
17. J. W. Loram, K. A. Mirza, J. R. Cooper, and J. L. Tallon, Physica C 282-287, 1405 (1997).
18. H. Ding et al., Nature (London) 382, 51 (1996);
19. M. R. Norman, M. Randeria, H. Ding, and J. C. Campuzano, Phys. Rev. B 57, R11 093 (1998);
20. H. Ding, et al., cond-mat/9712100(unpublished).
21. Ch. Renner et al., Phys. Rev. Lett. 80, 149 (1998);
22. A. K. Gupta and K.-W. Ng, Phys. Rev. B 58, R8901 (1998).
23. For an overview of the experimental results and their interpretation, see M. Randeria, cond-mat/9710223 (unpublished).
24. V. J. Emery and S. A. Kivelson, Nature (London) 374, 434 (1995);
25. V. J. EmeryS. A. Kivelsoncond-mat/9710059 (unpublished).
26. Y. J. Uemura et al., Phys. Rev. Lett. 62, 2317 (1989).
27. T. Jacobs et al., Phys. Rev. Lett. 75, 4516 (1995);
28. Phys. Rev. Lett.C. Panagopoulos, J. R. Cooper, and T. Xiang, 79, 2320 (1998).
29. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, San Francisco, 1971), pp. 459–460.
30. In has been pointed out to us [M.P.A. Fisher (private communication)] that in the presence of unbound, singly quantized vortices this gauge transformation is singular, and therefore multivalued. One can in principle remedy this difficulty by defining branch cuts in the two-dimensional plane which terminate on the vortices; however, in practice it is unclear how one would incorporate this cut structure into a perturbative many-body calculation, such as the one which we develop in this work. We leave this as an unresolved issue which deserves further study.
31. R. Shankar, Physica A 177, 530 (1991);
32. R. ShankarRev. Mod. Phys. 66, 129 (1994);
33. a similar idea was used in A. F. Andreev, Zh. Éksp. Theor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1964)].
34. S. Stintzing and W. Zwerger, Phys. Rev. B 56, 9004 (1997) estimate that (Formula presented) using a Ginzburg-Landau theory which describes the crossover from BCS theory to Bose condensation.
35. M. Franz and A. J. Millis, Phys. Rev. B58, 14 572 (1998).
36. T. V. Ramakrishnan, Phys. Scr. T27, 24 (1989).
37. V. L. Berezinskii, Zh. Éksp. Theor. Fiz. 59, 907 (1970) [Sov. Phys. JETP 32, 493 (1971)];
38. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
39. J. Corson et al., cond-mat/9810280 (unpublished).
40. P. A. Lee and X.-G. Wen, Phys. Rev. Lett. 78, 4111 (1997).
41. P. Minnhagen, Rev. Mod. Phys. 59, 1001 (1987).
42. H.-J. Kwon, A. Houghton, and J. B. Marston, Phys. Rev. B 52, 8002 (1995).
43. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
44. A. N. Berker and D. R. Nelson, Phys. Rev. B 19, 2488 (1979).
45. H.-J. Kwon, cond-mat/9811059 (unpublished).
46. L. Balents, M. P. A. Fisher, and C. Nayak, Int. J. Mod. Phys. B 12, 1033 (1998).
47. V. B. Geshkenbein, L. B. Ioffe, and A. I. Larkin, Phys. Rev. B 55, 3173 (1997);
48. A. J. Millis, S. M. Girvin, L. B. Ioffe, and A. I. Larkin, cond-mat/9709222 (unpublished).
49. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995), Sec. 9.4.
50. B. I. Halperin and D. R. Nelson, J. Low Temp. Phys. 36, 599 (1979).