Advertisement

Charge Density Waves in Quasi-one-Dimensional Systems

  • Aleksa Bjeliš
Part of the NATO ASI Series book series (NSSB, volume 218)

Abstract

The search for new superconducting materials and novel types of superconductivity has been, and still is, the main challenge in the investigation of low dimensional systems. Besides the great achievements made by discoveries of superconductivity in organic chain compounds and layered perovskites, this activity has also highlighted another type of instability which characterizes particularly quasi-one-dimensional conductors. This is the stabilization of the periodic deformation in the crystal lattice, accompained by the formation of the electronic charge density wave (GDW), and the openning of the gap at the Fermi level.

Keywords

Fermi Surface Dislocation Loop Dislocation Line Topological Defect Random Phase Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. E. Peierls, Ann. Phys. 4, 121 (1930) and “Quantum Theory of Solids”, p.108, Oxford University Press (1955).CrossRefGoogle Scholar
  2. 2.
    H. Fröhlich, Proc. Royal Soc.- A 223, 296 (1954).ADSMATHCrossRefGoogle Scholar
  3. 3.
    J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys, Rev. 108, 1175 (1957).MathSciNetADSMATHCrossRefGoogle Scholar
  4. 4.
    For the review see B. Renker and R. Comes in “Low Dimensional Cooperative Phenomena”, p.235, ed. H. J. Keller, Plenum Press (New York) (1975).Google Scholar
  5. 5.
    For the review see A. J. Heeger in “Highly Conducting One-Dimensional Compounds”, p.69, ed. J. T. Devreese, R. P. Evrard and V. E. Van Doren, Plenum Press (New York) (1979).Google Scholar
  6. 6.
    P. Monceau, N. P. Ong, A. M. Portis, A. Meerschaut and J. Rouxel, Phys. Rev. Lett. 37, 602 (1976).ADSCrossRefGoogle Scholar
  7. 7.
    J. Dumas, C. Schlenker, J. Marcus and A. Buder, Phys. Rev. Lett. 50, 757 (1983).ADSCrossRefGoogle Scholar
  8. 8.
    R. C. Lacoe, H. J. Schulz, D. Jérome and L, Johannsen, Phys. Rev. Lett. 55, 2351 (1985).ADSCrossRefGoogle Scholar
  9. 9.
    Yu. A, Bychkov, L. P. Gor’kov and J. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz, 50, 738 (1966) [Sov. Phys, JETP 23, 489 (1966)].Google Scholar
  10. 10.
    J. Solyom, Adv. in Physics 28, 201 (1979) and references therein.ADSCrossRefGoogle Scholar
  11. 11.
    V. J. Emery, in “Highly Conducting One-Dimensional Solids”, p.247, ed. J. T. Devreese, R. P. Evrard and V. E. van Doren, Plenum Press (New York) (1979).Google Scholar
  12. 12.
    S. Barišić and A, Bjeliš, in “Theoretical Aspects of Band Structures and Electronic Properties of Pseudo One-Dimensional Solids”, p.49, Ed. by H. Kamimura, Riedel, Dordrecht (1985).Google Scholar
  13. 13.
    S. Barišić and S. A. Brazovskii in “Recent Developments in Condensed Matter Physics”, vol.1, ed. J. T. Devreese, Plenum (New York) (1981); V. J. Emery, R. Bruinsma and S. Barišić, Phys.Rev.Lett. 48, 1039 (1982).Google Scholar
  14. 14.
    P. A. Lee, T. M. Rice and P. W, Anderson, Solid State Commun. 14, 703 (1974).ADSCrossRefGoogle Scholar
  15. 15.
    K. B. Efetov and A. I. Larkin, Zh. Eksp. Teor. Fiz. 72, 2350 (1977) [Sov. Phys. JETP 59, 1057 (1977)].Google Scholar
  16. 16.
    H. Fukuyama and P. A. Lee, Phys. Rev. B17, 535 (1978), P. A. Lee and H. Fukuyama, ibid. B17, 542 (1978).ADSGoogle Scholar
  17. 17.
    L. Mihaly and G. X. Tessema, Phys. Rev. B33, 5858 (1986).ADSGoogle Scholar
  18. 18.
    G. Mihaly and P. Beauchêne, Solid State Commun. 63, 911 (1987).ADSCrossRefGoogle Scholar
  19. 19.
    For general reviews see, e.g., P. Monceau, Electronic Properties of Inorganic Quasi One-Dimensional materials II, p.139, Edited by P. Monceau, Riedel, Dordrecht (1985); G. Grüner, Rev. Mod. Phys. 60, 1129 (1988).Google Scholar
  20. 20.
    I. E. Dzyaloshinskii and A. I. Larkin, Zh. Eksp. Teor. Fiz, 61, 791 (1971) [Sov. Phys. JETP 34, 422 (1972)].Google Scholar
  21. 21.
    N. Menyhard and J. Sólyom, J. Low Temp. Phys. 12, 529 (1973).ADSCrossRefGoogle Scholar
  22. 22.
    L. P. Gor’kov and J. E. Dzyaloshinskii, Zh. Eksp. Teor, Fiz. 67, 397 (1974) [Sov. Phys. JETP 40, 198 (1975)].Google Scholar
  23. 23.
    S. Barišić, Lecture Notes in Physics (Springer) 65, 85 (1977).Google Scholar
  24. 24.
    S. Barišić, Electronic Properties of Inorganic Quasi One-Dimensional Compounds, p.1, Ed. P. Monceau, Riedel, Dordrecht (1985).Google Scholar
  25. 25.
    e.g. A. A. Abrikosov, L. P. Gor’kov and I. E. Dzyaloshinskii, Quantum Field Methods in Statistical Physics, Prentice-Hall, Engelwood Clifft, (1963).MATHGoogle Scholar
  26. 26.
    A. Bjeliš and S. Barišić, J. Physique Letters 36, 169 (1975).ADSCrossRefGoogle Scholar
  27. 27.
    S. A Brazovskii and I. E. Dzyaloshinskii, Zh. Eksp. Teor, Fiz. 71, 2338 (1976) [Sov. Phys. JETP 44, 1233 (1976)].Google Scholar
  28. 28.
    K. Šaub, S. Barišić and J. Friedel, Phys. Lett. 56A. 302 (1976).ADSGoogle Scholar
  29. 29.
    B, Horovitz, H. Gutfreund and M. Weger, Phys, Rev. B12, 3174 (1975).ADSGoogle Scholar
  30. 30.
    K. Yamaji, J. Phys. Soc. Jpn. 51, 2787 (1982).ADSCrossRefGoogle Scholar
  31. 31.
    C. Schlenker and J. Dumas, in “Crystal Chemistry and Properties of Materials with Quasi-One-Dimensional Structures”, p.135, ed. J. Rouxel, Riedel Publ. Comp. (1986).Google Scholar
  32. 32.
    S. A. Brazovskii, L. P. Gor’kov and A. G. Lebed, Zh. Eksp. Teor. Fiz. 83, 1198 (1982). [Sov. Phys. JETP 56, 683 (1983)].Google Scholar
  33. 33.
    See e. g. L. D. Landau and E. I. Lifchitz, “Physique Statistique”, Editeur Mir, Moscou (1967).Google Scholar
  34. 34.
    D. J. Scalapino, M. Sears and R. A. Ferrell, Phys. Rev. B6, 3409 (1972).ADSGoogle Scholar
  35. 35.
    G. Toulouse, N. Cimento 23B, 234 (1974).ADSCrossRefGoogle Scholar
  36. 36.
    K. Uzelac and S, Barišić, J. Physique 36, 1267 (1975), and J. Physique Lett. 38, 47 (1977).CrossRefGoogle Scholar
  37. 37.
    K. B. Efetov and A. I. Larkin, Zh. Eksp. Teor. Fiz. 66, 2290 (1974) [Sov. Phys. JETP 39, 1129 (1974)].Google Scholar
  38. 38.
    J. P. Pouget, in “Charge Density Waves in Solids”, eds. L. P. Gor’kov and G. Grüner, Elsevier (to be published).Google Scholar
  39. 39.
    See e. g. J. W. Negele and H. Orland, “Quantum Many-Particles Systems”, Addison-Wesley Publ., New York (1988).Google Scholar
  40. 40.
    J. E. Hirsch and E. Fradkin, Phys. Rev. Lett. 49, 402 (1982).ADSCrossRefGoogle Scholar
  41. 41.
    H. Zheng, D.Feinberg and M. Avignon, Phys. Rev. B39, 9405 (1989).ADSGoogle Scholar
  42. 42.
    C. Bourbonnais and L. G. Caron, J. Physique 50, 2751 (1989).CrossRefGoogle Scholar
  43. 43.
    S. Aubry, G.Abramovici, D. Feinberg, P. Quemerais and J.-L. Raimbault, Lecture Notes in Physics, to be published (1989).Google Scholar
  44. 44.
    K. Maki, this Volume.Google Scholar
  45. 45.
    K. B. Efetov and A. I. Larkin, Zh. Eksp. Teor. Fiz. 72, 2350 (1977) [Sov. Phys, JETP 45, 1236 (1977)].Google Scholar
  46. 46.
    S, Barišić and I. Batistić, J. Physique Lett. 46, 819 (1985).CrossRefGoogle Scholar
  47. 47.
    P. A. Lee and T. M. Rice, Phys. Rev. B19, 3970 (1979).ADSGoogle Scholar
  48. 48.
    W. P. Su, J. R. Schrieffer and A. J. Heeger, Phys. Rev. B22, 2099 (1980).ADSGoogle Scholar
  49. 49.
    S. A. Brazovskii, I. E. Dzyaloshinskii and N. N. Kirova, Zh. Eksp. Teor. Fiz. 81, 2279 (1981) [Sov. Phys, JETP 54, 1209 (1981)].Google Scholar
  50. 50.
    S. A. Brazovskii, I. E. Dzyaloshinskii and S. G. Obukhov, Zh. Exsp. Teor. Fiz. 72, 1550 (1977) [Sov. Phys. JETP 45, 814 (1977)].Google Scholar
  51. 51.
    N. P. Ong and K. Maki, Phys. Rev. B32 (1985); K. Maki, Physica 143B, 59 (1986).Google Scholar
  52. 52.
    J. Dumas and D. Feinberg, Europhys. Lett. 2. 555 (1986).ADSCrossRefGoogle Scholar
  53. 53.
    D. Feinberg and J. Friedel, J. Physique (Paris) 49, 485 (1988).CrossRefGoogle Scholar
  54. 54.
    S. Barišić and I. Batistiš, J. Physique 50, 2717 (1989).CrossRefGoogle Scholar
  55. 55.
    L. P. Gor’kov, Pis’ma Zh. Eksp. Teor. Fiz. 76 (1983) [JETP Lett. 38, 87 (1983)]; Zh. Eksp. Teor, Fiz. 86, 1818 (1984) [Sov. Phys, JETP 59, 1957 (1985)].Google Scholar
  56. 56.
    I. Batistić, A. Bjeliš and L. P. Gor’kov, J. Phys. (Paris) 45, 1049 (1984).CrossRefGoogle Scholar
  57. 57.
    J. C. Gill, Solid State Commun. 44. 1041 (1982); P. J. Yetman and J. C. Gill, Solid State Commun. 62. 201 (1987);G. Mihaly, Gy Hutiray and L. Mihaly, L. Phys. Rev. B28. 4896 (1983); M. Prester, Phys. Rev. B32, 2621 (1985); D. V. Borodin, S. V. Zaitsev-Zotov and F. Ya Nad’, Zh. Eksp. Teor. Fiz. 90, 318 (1986); 93, 87 (1987); [Sov. Phys. JETP 63, 184 (1986); 66, 793 (1987)]; M. C. Saint-Lager, P. Monceau and M. Renard, Synth. Metals 29 (1989).ADSCrossRefGoogle Scholar
  58. 58.
    G. Mihaly, Physica Scripta T29, 67 (1989).ADSCrossRefGoogle Scholar
  59. 59.
    J. Takada, M. Wong and T. Holstein, Phys. Rev. B32, 4639 (1985).ADSGoogle Scholar
  60. 60.
    P. B. Littlewood, Solid State Commun. 65, 1347 (1988).ADSCrossRefGoogle Scholar
  61. 61.
    L. P. Gor’kov and E. N. Dolgov, Zh. Eksp. Teor. Fiz. 77, 396 (1979) [Sov. Phys. JETP 50, 203 (1979)].Google Scholar
  62. 62.
    S. N. Artemenko, A. F. Volkov and A. W. Kruglov, Zh. Eksp. Teor.- Fiz. 91, 1536 (1986) [Sov. Phys. JETP 64, 906 (1987)].Google Scholar
  63. 63.
    D. Jelčić, A. Bjeliš and I. Batistić, Phys. Rev. B38, 4045 (1988).ADSGoogle Scholar
  64. 64.
    R. M. Fleming and G. G. Grimes, Phys. Rev. Lett. 42, 1423 (1979).ADSCrossRefGoogle Scholar
  65. 65.
    P. Monceau, J. Richard and M. Renard, Phys. Rev. B25, 918, 931 (1982).ADSGoogle Scholar
  66. 66.
    N. P. Ong and G. Verma, Phys. Rev. B27, 4495 (1983).ADSGoogle Scholar
  67. 67.
    A. Zettl and G. Grüner, Solid State Commun. 46, 501 (1983); Phys. Rev. B29, 755 (1984).ADSCrossRefGoogle Scholar
  68. 68.
    R. E, Thorne, W. G. Lyons, J. W. Lyding, J. R. Tucker and J. Bardeen, J. Phys. Rev. B35, 6348, 6380 (1987).ADSGoogle Scholar
  69. 69.
    A. Bjeliš, Physica Scripta T29, 62 (1989).ADSCrossRefGoogle Scholar
  70. 70.
    G. Mihaly, G. Kriza and G. Grüner, Europ. Lett. 9, 163 (1989); L. Forró, A. Janossy, M. Raki and C. Ayache, to be published.CrossRefGoogle Scholar
  71. 71.
    D. Jelčić and A, Bjeliš, to be published.Google Scholar
  72. 72.
    S. Bhattacharya, J. P. Stokes, M, G. Higgins and R. A. Klemm, Phys. Rev. lett. 59, 1849 (1987).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Aleksa Bjeliš
    • 1
  1. 1.Department of Theoretical Physics, Faculty of SciencesZagrebYugoslavia

Personalised recommendations