Collective mode in a superconductor with mixed-symmetry order parameter components

Physical Review Letters

Volumn 84, Issue 19, 2000, Pages 4445-4448

  Balatsky, A V ^a   Kumar, P ^b   Schrieffer, J R ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b University of Florida ^*  (United States)

^c FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLECTIVE MODES; EQUILIBRIUM VALUE; ORBITAL MAGNETIZATION; ORDER PARAMETER; RELATIVE PHASE; SUPERCONDUCTING STATE; TWO-COMPONENT;

HELIUM; SUPERCONDUCTIVITY;

MAGNETIC FIELDS;

EID: 4243668696     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.4445     Document Type: Article

References (39)

1. See, for example, the review by J. F. Annett, Physica (Amsterdam) 317C-318C, 1 (1999);
2. D.J. Scalapino, cond-mat/ 9908287.
3. D. A. Wollman et al., Phys. Rev. Lett. 71, 2134 (1993).
4. W.N. Hardy et al., Phys. Rev. Lett. 70, 3999 (1993).
5. Z. X. Shen et al., Phys. Rev. Lett. 70, 1553 (1993).
6. C. C. Tsuei and J. R. Kirtley, J. Phys. Chem. Solids 59, 2045 (1998), and references therein.
7. M. Matsumoto and H. Shiba, J. Phys. Soc. Tpn. 64, 3384 (1995);
8. M. Matsumoto and H. Shiba, J. Phys. Soc. Tpn. 64, 4867 (1995).
9. M. Fogelstrom et al., Phys. Rev. Lett. 79, 281 (1997).
10. M. Covington et al., Phys. Rev. Lett. 79, 277 (1997).
11. S. Kashiwaya et al., J. Phys. Chem. Solids 59, 2034 (1998).
12. Y. Tanuma et al., J. Phys. Soc. Jpn. 67, 1118 (1998).
13. K. Kuboki, J. Phys. Soc. Jpn. 67, 2873(1998).
14. T. V. Ramakrishnan, J. Phys. Chem. Solids 59, 1750(1998).
15. A. Himeda and M. Ogata, J. Phys. Soc. Jpn. 67, 1118 (1998).
16. P. I. Soininen, C. Kallin, and A. J. Berlinsky, Phys. Rev. B 50, 13 883 (1994).
17. W. Kim et al., Phys. Rev. B 57, 13403 (1998).
18. M. Ichioka, N. Enomoto, N. Hayashi, and K. Machida, Phys. Rev. B 53, 2233 (1996).
19. A. V. Balatsky, Phys. Rev. Lett. 80, 1972 (1998);
20. J. Phys. Chem. Solids 59, 1689 (1998);
21. A. V. Balatsky and R. Movshovich, Physica (Amsterdam) 259B-261B, 446 (1999).
22. M. Graf et al., Phys. Rev. B 61, 3255 (2000); cond-mat/ 9907300.
23. C. Grimaldi, Europhys. Lett. 48, 306 (1999); cond-mat/ 9905262.
24. T. Koyama and M. Tachiki, Phys. Rev. B 53, 2662 (1996).
25. See also M. Palumbo, P. Muzikar, and J. Sauls, Phys. Rev B 42, 2681 (1990) for the spontaneously generated time reversal state due to similar coupling.
26. R.B. Laughlin, Phys. Rev. Lett. 80, 5188 (1998).
27. A. V. Balatsky, Phys. Rev. B 61, 6940 (2000).
28. A.J. Leggett, Prog. Theor. Phys. 36, 901 (1966).
29. P. Kumar and P. Wolfle, Phys. Rev. Lett. 59, 1954 (1987).
30. P. Brusov, N. Kulik, and P. Brusov, Physica (Amsterdam) 261B, 496 (1999).
31. A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975).
32. ij; see, for example, R. Heeb, A. van Otterlo, M. Sigrist, and G. Blatter, Phys. Rev. B 54, 9385 (1996);
33. M. Palumbo, P. Muzikar, and J. Sauls, Phys. Rev. B 42, 2681 (1990).
34. For a general discussion of the GL functional, in the presence of mixed-symmetry terms, see also R. Joynt, Phys. Rev. B 41, 4271 (1990);
35. P. I. Soininen, C. Kallin, and A.J. Berlinsky, Phys. Rev. B 50, 13 883 (1994);
36. J. Xu, Y. Ren, and C.S. Ting, Phys. Rev. B 53, R2991 (1996);
37. H. Won and K. Maki, Phys. Rev. B 53, 5927 (1996).
38. D. Vollhardt and P. Wolfle, in The Superfluid Phases of Helium 3 (Taylor and Francis, London, 1990), Chap. 11.
39. S. Knysh et al. (unpublished).