Skip to main content
SpringerLink
Log in

Open questions in the physics of quasi-one-dimensional metals

  • Chapter
  • First Online:
Festkörperprobleme 20

Part of the book series: Advances in Solid State Physics ((ASSP,volume 20))

Abstract

The dc conductivity, spin susceptibility and 2kF and 4kF structural instabilities for a one-band one-dimensional conductor are reviewed in the limiting cases of very weak and very strong electron-electron repulsions. The experimental evidence from X-ray and neutron scattering, EPR and dc conductivity for various members of the alloy series (TTF)1−x(TSeF)x-TCNQ is analyzed in terms of the predictions for these two limiting cases. It is concluded that even the relative strength of the electron-electron repulsions on the two kinds of stacks must still be considered an open question. The superstructural behavior in this series in the semiconducting phase is also analyzed with particular emphasis on the relation of the superlattice dimension a′ along the a axis to the tendencies of the two kinds of stacks to show 2kF instabilities. It is concluded that the original picture, so relatively satisfactory for TTF-TCNQ, becomes less satisfactory as more and more of the phase diagram is explored. Though models have been proposed to explain various parts of the phase diagram, a general statistical mechanical theory, presumably including non-nearest-neighbor competing interactions, higher-order interactions, and disorder, is still needed.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. H. Lieb and D. C. Mattis, Mathematical Physics in One Dimension, Academic Press, New York and London (1966).

    Google Scholar 

  2. The proceedings of conferences and summer institutes, which can serve as an introduction to many aspects of one-dimensional physics, include the following recent ones: a) Chemistry and Physics of One-Dimensional Metals, NATO Advanced Study Institutes Series (Physics), Vol. 25, H. J. Keller (ed.), Plenum Press, New York and London (1977), b) Organic Conductors and Semiconductors, Lecture Notes in Physics, No. 65, L. Pál, G. Grüner, A. Jánossy and J. Sólyom (eds.), Akadémiai Kiadó, Budapest, and Springer-Verlag, Berlin, Heidelberg and New York (1977); c) Quasi One-Dimensional Conductors, I and II, Lecture Notes in Physics, Nos. 95 and 96, S. Barišić, A. Bjeliš, J. R. Cooper, and B. Leontić (eds.), Springer-Verlag, Berlin, Heidelberg and New York (1979); and d) Physics and Chemistry of Low-Dimensional Solids, NATO Advanced Study Institutes Series (Physics), L. Alcácer (ed.), to be published by D. Reidel Publishing Co. (1980). Proceedings of international conferences in 1980 in Fribourg, Switzerland on Physics in One Dimension and in Helsingør, Denmark on Low-Dimensional Synthetic Materials will also appear in 1980-1. Broad surveys of various aspects of these problems may also be found in the book e) Highly Conducting One-Dimensional Solids, J. T. Devreese, R. P. Evrard and V. E. van Doren (eds.), Plenum Press, New York and London (1979) and in the review articles f) W. Dieterich, Adv. in Phys. 25, 615 (1976), g) G. A. Toombs, Phys. Rpts. 40, 181 (1978) and h) J. Sólyom, Adv. in Phys. 28, 201 (1979). Proceedings with a greater (but not exclusive) emphasis on chemistry include Synthesis and Properties of Low-Dimensional Materials, J. S. Miller and A. J. Epstein (eds.), Annals of N. Y. Acad. Sci. 313 (1978).

    Google Scholar 

  3. For a recent review, see H. Gutfreund and W. A. Little, Ref. [2a], pp. 305–372.

    Google Scholar 

  4. L. B. Coleman, M. J. Cohen, D. J. Sandman, F. G. Yamagishi, A. F. Garito and A. J. Heeger, Solid State. Commun. 12, 1125 (1973).

    Article  ADS  Google Scholar 

  5. G. A. Thomas and 29 other authors, Phys. Rev. B 13, 5105 (1976); but note also the response M. J. Cohen, L. B. Coleman, A. F. Garito and A. J. Heeger, Phys. Rev. B 13, 5111 (1976).

    Article  ADS  Google Scholar 

  6. A. J. Heeger and A. G. MacDiarmid, in Ref. [2d] Physics and Chemistry of Low-Dimensional Solids, NATO Advanced Study Institutes Series (Physics), L. Alcácer (ed.), to be published by D. Reidel Publishing Co. (1980).

    Google Scholar 

  7. D. Jérome, A. Mazaud, M. Ribault and K. K. Bechgaard, J. Physique Lett. 41, L95 (1980).

    Article  Google Scholar 

  8. D. Debray, R. Millet, D. Jérome, S. Barišić, L. Giral and J. M. Fabre, J. Physique Lett. 28, L–227 (1977); b) R. H. Friend, M. Miljak, D. Jérome, D. L. Decker and D. Debray, J. Physique Lett. 39, L-134 (1978); and c) D. Jérome, in Ref. [2d]. Physics and Chemistry of Low-Dimensional Solids, NATO Advanced Study Institutes Series (Physics), L. Alcácer (ed.), to be published by D. Reidel Publishing Co. (1980).

    Google Scholar 

  9. For a recent review, see R. Comès and G. Shirane, Ref. [2e], pp. 14–67.

    Google Scholar 

  10. D. Allender, J. W. Bray and J. Bardeen, Phys. Rev. B 9, 119 (1974).

    Article  ADS  Google Scholar 

  11. L. J. Sham, in Ref. [2e], pp. 227–245.

    Google Scholar 

  12. J. Torrance, in Ref. [2a],, pp. 137–166; V. J. Emery, in Ref. [2a] Chemistry and Physics of One-Dimensional Metals, NATO Advanced Study Institutes Series (Physics), Vol. 25, H. J. Keller (ed.), Plenum Press, New York and London (1977), pp. 1–23; and V. J. Emery, in Ref. [2e], Highly Conducting One-Dimensional Solids, J. T. Devreese, R. P. Evrard and V. E. van Doren (eds.), Plenum Press, New York and London (1979), pp. 247–303.

    Google Scholar 

  13. J. C. Bonner and M. E. Fisher, Phys. Rev. 135, A640 (1964).

    Article  ADS  Google Scholar 

  14. E. Lieb, T. Schultz and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. E. Pytte, Phys. Rev. B 10, 4637 (1974) and b) M. C. Cross and Daniel S. Fisher, Phys. Rev. B 19, 402 (1979).

    Article  ADS  Google Scholar 

  16. For a general review, see T. D. Schultz and R. A. Craven, in Ref. [2e], pp. 147–225.

    Google Scholar 

  17. E. F. Rybaczewski, A. F. Garito, A. J. Heeger and E. Ehrenfreund, Phys. Rev. Lett. 34, 525 (1975) and b) F. Devreux, Cl. Jeandey, M. Nechtschein, J. M. Fabre and L. Giral, J. Physique 40, 671 (1979).

    Article  ADS  Google Scholar 

  18. E. F. Rybaczewski, A. F. Garito, A. J. Heeger and B. Silbernagel, Phys. Rev. B 14, 2746 (1976).

    Article  ADS  Google Scholar 

  19. Y. Tomkiewicz, A. R. Taranko and J. B. Torrance, Phys. Rev. B 15, 1017 (1977); b) E. Conwell, to appear in Phys. Rev. B; and c) Y. Tomkiewicz, A. R. Taranko and J. B. Torrance, to appear in Phys. Rev. B.

    Article  ADS  Google Scholar 

  20. Y. Tomkiewicz, T. D. Schultz and M. B. Salamon, unpublished.

    Google Scholar 

  21. T. D. Schultz, in Ref. [2c],, Vol. I, pp. 31–38.

    Chapter  Google Scholar 

  22. S. Kagoshima, H. Anzai, T. Ishiguro, E. M. Engler, T. D. Schultz and Y. Tomkiewicz in Lattice Dynamics, Proc. of Int. Conf. on Lattice Dynamics, 1977, M. Balkanski (ed.), Flammarion Sciences, Paris (1978), pp. 591–593.

    Google Scholar 

  23. C. Weyl, E. M. Engler, K. Bechgaard, G. Jehanno and S. Etemad, Solid State Commun. 19, 925 (1976); b) S. Kagoshima, T. Ishiguro, T. D. Schultz and Y. Tomkiewicz, Solid State Commun. 28, 485 (1979); and c) S. Megtert, A. F. Garito, J. P. Pouget and R. Comès, Ref. [2b], Organic Conductors and Semiconductors, Lecture Notes in Physics, No. 65, L. Pál, G. Grüner, A. Jánossy and J. Sólyom (eds.), Akadémiai Kiadó, Budapest, and Springer-Verlag, Berlin, Heidelberg and New York (1977) Vol. I, pp. 57–63.

    Article  ADS  Google Scholar 

  24. Y. Tomkiewicz, B. Welber, P. E. Seiden and R. Schumaker, Solid State Commun. 23, 471 (1977).

    Article  ADS  Google Scholar 

  25. Y. Tomkiewicz, unpublished.

    Google Scholar 

  26. P. Bak and V. J. Emery, Phys. Rev. Lett. 36, 978 (1976).

    Article  ADS  Google Scholar 

  27. Ref. [16] p. 209.

    Google Scholar 

  28. J. von Boehm and P. Bak, Phys. Rev. Lett., 42, 122 (1978) and especially b) P. Bak and J. von Boehm, to be published.

    Article  Google Scholar 

  29. S. Etemad, Phys. Rev. B 13, 2254 (1976) and b) S. Etemad, E. M. Engler, T. D. Schultz, T. Penney and B. A. Scott, Phys. Rev. B 17, 513 (1978).

    Article  ADS  Google Scholar 

  30. R. A. Craven, Y. Tomkiewicz and E. M. Engler and A. R. Taranko, Solid State Commun. 23, 429 (1977) and b) H. B. Brom, T. D. Schultz, Y. Tomkiewicz, E. M. Engler and W. D. Gill, unpublished.

    Article  ADS  Google Scholar 

  31. S. Kagoshima, T. Ishiguro, T. D. Schultz and Y. Tomkiewicz, Ref. [2b], Vol. I, pp. 28–30.

    Google Scholar 

  32. A. Bjeliš and S. Barišić, preprint.

    Google Scholar 

  33. Y. Tomkiewicz, R. A. Craven, T. D. Schultz, E. M. Engler and A. R. Taranko, Phys. Rev. B 15, 3643 (1977).

    Article  ADS  Google Scholar 

  34. T. D. Schultz, Solid State Commun. 22, 289 (1977).

    Article  ADS  Google Scholar 

  35. S. Kagoshima, T. Ishiguro, E. M. Engler, T. D. Schultz and Y. Tomkiewicz, submitted for publication in Solid State Commun.

    Google Scholar 

  36. R. H. Friend, M. Miljak and D. Jérome, Phys. Rev. Lett. 40, 1048 (1978) and b) S. Megtert, R. Comès, R. Pynn, C. Vettier and A. F. Garito, in Ref. [2d]. Physics and Chemistry of Low-Dimensional Solids, NATO Advanced Study Institutes Series (Physics), L. Alcácer (ed.), to be published by D. Reidel Publishing Co. (1980).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Munich, Munich, Germany

    Theodore D. Schultz

  2. IBM Watson Research Center, Yorktown Heights, NY, USA

    Theodore D. Schultz

Authors
  1. Theodore D. Schultz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Treusch

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

About this chapter

Cite this chapter

Schultz, T.D. (1979). Open questions in the physics of quasi-one-dimensional metals. In: Treusch, J. (eds) Festkörperprobleme 20. Advances in Solid State Physics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0116752

Download citation

  • DOI: https://doi.org/10.1007/BFb0116752

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08026-6

  • Online ISBN: 978-3-540-75365-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation