Skip to main content

From Luttinger to Fermi Liquids in Organic Conductors

  • Chapter
The Physics of Organic Superconductors and Conductors

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 110))

This chapter reviews the effects of interactions in quasi-one dimensional systems, such as the Bechgaard and Fabre salts, and in particular the Luttinger liquid physics. It discusses in details how transport measurements both d.c. and a.c. allow to probe such a physics. It also examine the dimensional crossover and deconfinement transition occurring between the one dimensional case and the higher dimensional one resulting from the hopping of electrons between chains in the quasione dimensional structure.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. L.D. Landau, Sov. Phys. JETP 3, 920 (1957)

    MATH  Google Scholar 

  2. P. Nozieres, Theory of Interacting Fermi Systems (Benjamin, New York, 1961)

    Google Scholar 

  3. A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963)

    MATH  Google Scholar 

  4. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2004)

    MATH  Google Scholar 

  5. T. Giamarchi, Chem. Rev. 104, 5037 (2004)

    Article  Google Scholar 

  6. C. Bourbonnais, D. Jerome, The Physics of Organic Superconductors and Conductors (Springer, Berlin Heidelberg New York)

    Google Scholar 

  7. T. Giamarchi, Phys. Rev. B 44, 2905 (1991)

    Article  ADS  Google Scholar 

  8. T. Giamarchi, Physica B 230–232, 975 (1997)

    Article  Google Scholar 

  9. M. Dressel, A. Schwartz, G. Grüner, L. Degiorgi, Phys. Rev. Lett. 77, 398 (1996)

    Article  ADS  Google Scholar 

  10. A. Schwartz et al., Phys. Rev. B 58, 1261 (1998)

    Article  ADS  Google Scholar 

  11. V.J. Emery, R. Bruinsma, S. Barisic, Phys. Rev. Lett. 48, 1039 (1982)

    Article  ADS  Google Scholar 

  12. R. Kato, H. Kobayashi, A. Kobayashi, J. Am. Chem. Soc. 111, 5224 (1989)

    Article  Google Scholar 

  13. K. Heuzé et al., Adv. Mater. 15, 1251 (2003)

    Article  Google Scholar 

  14. S. Biermann, A. Georges, A. Lichtenstein, T. Giamarchi, Phys. Rev. Lett. 87, 276405 (2001)

    Article  ADS  Google Scholar 

  15. L.P. Gorkov, Physica B 230–232, 970 (1997)

    Article  Google Scholar 

  16. C. Bourbonnais et al., J. Phys. (Paris) Lett. 45, L755 (1984)

    Google Scholar 

  17. K. Behnia et al., Phys. Rev. Lett. 74, 5272 (1995)

    Article  ADS  Google Scholar 

  18. A. Luther, I. Peschel, Phys. Rev. B 12, 3908 (1975)

    Article  ADS  Google Scholar 

  19. H.J. Schulz, Phys. Rev. Lett. 64, 2831 (1990)

    Article  ADS  Google Scholar 

  20. M. Ogata, M.U. Luchini, S. Sorella, F.F. Assaad, Phys. Rev. Lett. 66, 2388 (1991)

    Article  ADS  Google Scholar 

  21. F. Mila, X. Zotos, Europhys. Lett. 24, 133 (1993)

    Article  ADS  Google Scholar 

  22. N. Kawakami, S.K. Yang, Phys. Lett. A 148, 359 (1990)

    Article  ADS  Google Scholar 

  23. N. Kawakami, S.K. Yang, Phys. Rev. B 44, 7844 (1991)

    Article  ADS  Google Scholar 

  24. F.D.M. Haldane, J. Phys. C 12, 4791 (1979)

    Article  ADS  Google Scholar 

  25. F.D.M. Haldane, J. Phys. C 14, 2585 (1981)

    Article  ADS  Google Scholar 

  26. F.D.M. Haldane, Phys. Rev. Lett. 45, 1358 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  27. E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)

    Article  ADS  Google Scholar 

  28. I.E. Dzyaloshinskii, A.I. Larkin, Sov. Phys. JETP 34, 422 (1972)

    ADS  Google Scholar 

  29. J.M. Ziman, Electrons and Phonons (Clarendon, Oxford, 1962)

    Google Scholar 

  30. T. Giamarchi, A.J. Millis, Phys. Rev. B 46, 9325 (1992)

    Article  ADS  Google Scholar 

  31. H.J. Schulz, in Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993, ed. by K.S. Bedell et al. (Addison–Wesley, Reading, MA, 1994), p. 187

    Google Scholar 

  32. D. Jérome, Chem. Rev. 104, 5565 (2004)

    Article  Google Scholar 

  33. H.J. Schulz, Phys. Rev. Lett. 64, 2831 (1990)

    Article  ADS  Google Scholar 

  34. T. Giamarchi, Phys. Rev. B 46, 342 (1992)

    Article  ADS  Google Scholar 

  35. D. Controzzi, F.H.L. Essler, A.M. Tsvelik, Phys. Rev. Lett. 86, 680 (2001)

    Article  ADS  Google Scholar 

  36. E. Jeckelmann, F. Gebhard, F.H.L. Essler, Phys. Rev. Lett. 85, 3910 (2000)

    Article  ADS  Google Scholar 

  37. A. Rosch, N. Andrei, Phys. Rev. Lett. 85, 1092 (2000)

    Article  ADS  Google Scholar 

  38. D. Jérome, Organic Superconductors: From (TMTSF) 2 PF 6 to Fullerenes, Chap. 10 (Marcel Dekker, New York, 1994), p. 405

    MATH  Google Scholar 

  39. M. Dressel et al., Phys. Rev. B 71, 075104 (2005)

    Article  ADS  Google Scholar 

  40. V. Vescoli et al., Science 281, 1191 (1998)

    Article  ADS  Google Scholar 

  41. V. Vescoli et al., Eur. Phys. J. B 13, 503 (2000)

    Article  ADS  Google Scholar 

  42. W. Henderson et al., Eur. Phys. J. B 11, 365 (1999)

    Article  ADS  Google Scholar 

  43. D. Pashkin, M. Dressel, C.A. Kuntscher, 2006, cond-mat/0608242

    Google Scholar 

  44. Y.-S. Lee, K. Segawa, Y. Ando, D.N. Basov, Phys. Rev. Lett. 94, 137004 (2005)

    Article  ADS  Google Scholar 

  45. P. Monceau, F. Nad, S. Brazovskii, Phys. Rev. Lett. 86, 4080 (2001)

    Article  ADS  Google Scholar 

  46. S. Brazovskii, J. Phys. IV 114, 9 (2004)

    Article  Google Scholar 

  47. S. Brazovskii, The Physics of Organic Superconductors and Conductors (Springer, Berlin Heidelberg New York)

    Google Scholar 

  48. K. Hiraki, K. Kanoda, Phys. Rev. B 54, R17276 (1996)

    Article  ADS  Google Scholar 

  49. T. Itou et al., Phys. Rev. Lett. 93, 216408 (2004)

    Article  ADS  Google Scholar 

  50. T. Itou et al., Phys. Rev. B 72, 113109 (2005)

    Article  ADS  Google Scholar 

  51. J. Moser et al., Eur. Phys. J. B 1, 39 (1998)

    Article  ADS  Google Scholar 

  52. A. Georges, T. Giamarchi, N. Sandler, Phys. Rev. B 61, 16393 (2000)

    Article  ADS  Google Scholar 

  53. V.M. Yakovenko, Synth. Metal 103, 2202 (1999)

    Article  Google Scholar 

  54. V.M. Yakovenko, A.T. Zheleznyak, Synth. Metal 120, 1083 (2001)

    Article  Google Scholar 

  55. V.M. Yakovenko, The Physics of Organic Superconductors and Conductors (Springer, Berlin Heidelberg New York)

    Google Scholar 

  56. J. Moser et al., Phys. Rev. Lett. 84, 2674 (2000)

    Article  ADS  Google Scholar 

  57. B. Korin-Hamzić et al., Phys. Rev. B 67, 014513 (2003)

    Article  ADS  Google Scholar 

  58. G. Mihaly, I. Kezsmarsky, F. Zamborsky, L. Forro, Phys. Rev. Lett. 84, 2670 (2000)

    Article  ADS  Google Scholar 

  59. A. Lopatin, Phys. Rev. B 57, 6342 (1997)

    Article  ADS  Google Scholar 

  60. A. Lopatin, A. Georges, T. Giamarchi, Phys. Rev. B 63, 075109 (2001)

    Article  ADS  Google Scholar 

  61. G. Leon, T. Giamarchi, J. Low Temp. Phys 142, 315 (2006)

    Article  ADS  Google Scholar 

  62. G. Leon, C. Berthod, T. Giamarchi, 2006, cond-mat/0608427

    Google Scholar 

  63. S. Brazovskii, V. Yakovenko, J. Phys. (Paris) Lett. 46, L111 (1985)

    Google Scholar 

  64. C. Bourbonnais, L.G. Caron, Physica 143B, 450 (1986)

    Google Scholar 

  65. X.G. Wen, Phys. Rev. B 42, 6623 (1990)

    Article  ADS  Google Scholar 

  66. C. Bourbonnais, L.G. Caron, Int. J. Mod. Phys. B 5, 1033 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  67. V.M. Yakovenko, JETP Lett. 56, 510 (1992)

    ADS  Google Scholar 

  68. D. Boies, C. Bourbonnais, A.-M.S. Tremblay, Phys. Rev. Lett. 74, 968 (1995)

    Article  ADS  Google Scholar 

  69. H.J. Schulz, in Correlated Fermions and Transport in Mesoscopic Systems, ed. by T. Martin, G. Montambaux, J. Tran Thanh Van (Editions frontières, Gif sur Yvette, France, 1996), p. 81

    Google Scholar 

  70. A.T. Zheleznyak, V.M. Yakovenko, Synth. Metal 70, 1005 (1995)

    Article  Google Scholar 

  71. Y. Suzumura, M. Tsuchiizu, G. Grüner, Phys. Rev. B 57, R15040 (1998)

    Article  ADS  Google Scholar 

  72. M. Tsuchiizu, Y. Suzumura, T. Giamarchi, Prog. Theor. Phys. 101, 763 (1999)

    Article  ADS  Google Scholar 

  73. M. Tsuchiizu, Y. Suzumura, Phys. Rev. B 59, 12326 (1999)

    Article  ADS  Google Scholar 

  74. M. Tsuchiizu, P. Donohue, Y. Suzumura, T. Giamarchi, Eur. Phys. J. B 19, 185 (2001)

    Article  ADS  Google Scholar 

  75. K. Le Hur, Phys. Rev. B 63, 165110 (2001)

    Article  ADS  Google Scholar 

  76. F.H.L. Essler, A.M. Tsvelik, Phys. Rev. B 65, 115117 (2002)

    Article  ADS  Google Scholar 

  77. E. Arrigoni, Phys. Rev. Lett. 83, 128 (1999)

    Article  ADS  Google Scholar 

  78. E. Arrigoni, Phys. Rev. B 61, 7909 (2000)

    Article  ADS  Google Scholar 

  79. S. Biermann, A. Georges, T. Giamarchi, A. Lichtenstein, in Strongly Correlated Fermions and Bosons in Low Dimensional Disordered Systems, ed. by I.V. Lerner et al. (Kluwer, Dordrecht, 2002), p. 81, cond-mat/0201542

    Google Scholar 

  80. C. Berthod, T. Giamarchi, S. Biermann, A. Georges, 2006, cond-mat/0602304

    Google Scholar 

  81. B. Dardel et al., Europhys. Lett. 24, 687 (1993)

    Article  ADS  Google Scholar 

  82. F. Zwick et al., Phys. Rev. Lett. 79, 3982 (1997)

    Article  ADS  Google Scholar 

  83. W. Yu et al., Int. Rev. Mod. Phys. B 16, 3090 (2002)

    Article  ADS  Google Scholar 

  84. A.F. Ho, M.A. Cazalilla, T. Giamarchi, Phys. Rev. Lett. 92, 130405 (2004)

    Article  ADS  Google Scholar 

  85. T. Stöferle et al., Phys. Rev. Lett. 92, 130403 (2004)

    Article  ADS  Google Scholar 

  86. M.A. Cazalilla, A.F. Ho, T. Giamarchi, Phys. Rev. Lett. 95, 226402 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Giamarchi, T. (2008). From Luttinger to Fermi Liquids in Organic Conductors. In: Lebed, A. (eds) The Physics of Organic Superconductors and Conductors. Springer Series in Materials Science, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76672-8_27

Download citation

Publish with us

Policies and ethics