Properties of superconductivity on a density wave background with small ungapped Fermi surface parts

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 22, 2008, Pages

  Grigoriev, P D ^a,b  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^b INSTITUT LAUE LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45749115398     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.224508     Document Type: Article

References (62)

1. A. M. Gabovich, A. I. Voitenko, J. F. Annett, and M. Ausloos, Supercond. Sci. Technol. SUSTEF 0953-2048 10.1088/0953-2048/14/4/201 14, R1 (2001).
2. K. Levin, D. L. Mills, and S. L. Cunningham, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.10.3821 10, 3821 (1974).
3. C. A. Balseiro and L. M. Falicov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.20.4457 20, 4457 (1979).
4. L. Miláns del Bosch and Félix Yndurain, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.2540 41, 2540 (1990).
5. Griff Bilbro and W. L. McMillan, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.1887 14, 1887 (1976).
6. K. Machida, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.50.2195 50, 2195 (1981).
7. G. C. Psaltakis, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/12/013 17, 2145 (1984).
8. T. Vuletic, P. Auban-Senzier, C. Pasquier, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s10051-002-8924-1 25, 319 (2002).
9. D. Andres, M. V. Kartsovnik, W. Biberacher, K. Neumaier, E. Schuberth, and H. Müller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.174513 72, 174513 (2005).
10. A. M. Clogston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.9. 266 9, 266 (1962)
11. B. S. Chandrasekhar, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1777362 1, 7 (1962).
12. I. J. Lee, M. J. Naughton, G. M. Danner, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3555 78, 3555 (1997)
13. I. J. Lee, P. M. Chaikin, and M. J. Naughton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R14669 62, R14669 (2000).
14. I. J. Lee, P. M. Chaikin, and M. J. Naughton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.180502 65, 180502 (R) (2002).
15. I. J. Lee, S. E. Brown, W. G. Clark, M. J. Strouse, M. J. Naughton, W. Kang, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 88.017004 88, 017004 (2001)
16. I. J. Lee, D. S. Chow, W. G. Clark, M. J. Strouse, M. J. Naughton, P. M. Chaikin, and S. E. Brown, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68. 092510 68, 092510 (2003).
17. I. J. Lee, P. M. Chaikin, and M. J. Naughton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.207002 88, 207002 (2002).
18. I. J. Lee, S. E. Brown, W. Yu, M. J. Naughton, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.197001 94, 197001 (2005).
19. L. P. Gor'kov and P. D. Grigorev, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10089-y 71, 425 (2005).
20. L. P. Gor'kov and P. D. Grigoriev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.020507 75, 020507 (R) (2007).
21. S. A. Brazovskii and N. N. Kirova, Sov. Sci. Rev., Sect. A 5, 99 (1984). 0031-8914
22. W. P. Su and J. R. Schrieffer, in Physics in One Dimension, Springer Series in Solid State Sciences, edited by, J. Bernascony, and, T. Schneider, (Springer, New York, 1981).
23. S. Brown (unpublished).
24. The spin structure of SC state in the presence of SDW was also investigated in the model of Ref., where the SC order parameter appears on both well-nested and bad-nested parts of the Fermi surface. Then such SC order parameter contains a mixture of spin-singlet and spin-triplet order parameters (Ref.). In this paper the model in Ref. is considered, where the DW and SC order parameters are separated in the momentum or in the coordinate space.
25. S. A. Brazovskii, L. P. Gor'kov, and A. G. Lebed', Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 83, 1198 (1982)
26. S. A. Brazovskii, L. P. Gor'kov, and A. G. Lebed', [Sov. Phys. JETP SPHJAR 0038-5646 56, 683 (1982)]
27. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.1175 108, 1175 (1957).
28. J. Solyom, Adv. Phys. ADPHAH 0001-8732 10.1080/00018737900101375 28, 201 (1979).
29. N. Dupuis, C. Bourbonnais, and J. C. Nickel, Fiz. Nizk. Temp. FNTEDK 0132-6414 32, 505 (2006).
30. K. Kuroki, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.75.051013 75, 051013 (2006).
31. Yu. A. Bychkov, L. P. Gor'kov, and I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 50, 738 (1966) 0038-5646
32. Yu. A. Bychkov, L. P. Gor'kov, and I. E. Dzyaloshinskii, [Sov. Phys. JETP SPHJAR 0038-5646 23, 489 (1966)].
33. Y. Tanaka and K. Kuroki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.060502 70, 060502 (R) (2004).
34. M. T. Beal-Monod, C. Bourbonnais, and V. J. Emery, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.7716 34, 7716 (1986).
35. J. C. Nickel, R. Duprat, C. Bourbonnais, and N. Dupuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.247001 95, 247001 (2005).
36. Y. Fuseya and Y. Suzumura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1263 74, 1263 (2005).
37. T. Nomura and K. Yamada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.2694 70, 2694 (2001).
38. H. Kino and H. Kontani, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022505330043 117, 317 (1999).
39. S. Belin and K. Behnia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2125 79, 2125 (1997).
40. The generalization of the mean-field description of DW in quasi-1D metals in the presence of magnetic field was elaborated in Ref. for SDW and in Refs. for CDW. A strong magnetic field, acting on CDW state, mixes the SDW and CDW order parameters (Refs.) and may lead to the series of phase transitions between the states with different quantized values of the nesting vector (Ref.). A strong magnetic field, acting on metals with imperfect nesting, can lead to the field-induced DW (Ref.).
41. Usually, δ P- Pc1. However, the reduction in the energy gap Δ0, accompanying the formation of ungapped pockets and the reduction in the nested part of FS, can make the growth δ (P) faster at P= Pc1.
42. A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1977).
43. A. M. Gabovich and A. S. Shpigel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.297 38, 297 (1988).
44. Charles Ro and K. Levin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.6155 29, 6155 (1984).
45. Proposed in Ref., the appearance of an additional spatially modulated SC order parameter ΔSC (QN) seems to be negligible (or wrong) when the Fermi energy is much greater than the DW and SC order parameters.
46. L. P. Gor'kov and T. K. Melik-Barkhudarov, Zh. Eksp. Teor. Fiz. 45, 1493 (1963) 0038-5646
47. L. P. Gor'kov and T. K. Melik-Barkhudarov, [Sov. Phys. JETP SPHJAR 0038-5646 18, 1031 (1963)].
48. J. B. Ketterson and S. N. Song, Superconductivity (Cambridge University Press, Cambridge, 1999).
49. A. E. Kovalev, S. Hill, and J. S. Qualls, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.134513 66, 134513 (2002).
50. R. Kondo, S. Kagoshima, and M. Maesato, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.134519 67, 134519 (2003).
51. L. P. Gor'kov and D. Jérome, J. Phys. (France) Lett. JPSLBO 0302-072X 10.1051/jphyslet:019850046014064300 46, L643 (1985).
52. G. C. Psaltakis and E. W. Fenton, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/16/20/015 16, 3913 (1983).
53. K. Machida, T. Kōnyama, and T. Matsubara, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.99 23, 99 (1981).
54. A. Bjeliš and D. Zanchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.5968 49, 5968 (1994).
55. D. Zanchi, A. Bjeliš, and G. Montambaux, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.1240 53, 1240 (1996).
56. P. D. Grigoriev and D. S. Lyubshin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.195106 72, 195106 (2005).
57. D. Andres, M. V. Kartsovnik, P. D. Grigoriev, W. Biberacher, and H. Müller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.201101 68, 201101 (R) (2003).
58. L. P. Gor'kov and A. G. Lebed, J. Phys. (Paris) 45, L433 (1984) 0302-0738
59. G. Montambaux, M. Heritier, and P. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.2078 55, 2078 (1985)
60. A. G. Lebed, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 177001 88, 177001 (2002)
61. A. G. Lebed, Pis'ma Zh. Teor. Eksp. Fiz. 72, 205 (2000) 0021-3640
62. A. G. Lebed [JETP Lett. JTPLA2 0021-3640 72, 141 (2000)].