Skip to main content

Part of the book series: NATO ASI Series ((ASIC,volume 415))

Abstract

A theory for the statics and domain structure of a coarse grained model for Charge Density Wave is presented. Arguments for exponents and exponent relations are given.It is shown that in the case of elastic instabilities the correlation exponents are smaller then the naive exponents 2/d. The relaxation is connected with the statics of this model in and below the critical point.It is shown that below and in the critical point the system does not develop any strain singularities. There is a. diverging discontinuity between the width of the surface in the moving state and in the critical point. Phase slips are expected to have an effect only above the critical point in the moving state.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. For a summary see G. Grimmer Bev. Mod. Phys. 60. 1129 (1988)

    Article  Google Scholar 

  2. Z. Wang and N.P. Ong Phys. Rev. Lett. 58. 2375 (1987)

    Article  ADS  Google Scholar 

  3. G. Kriza. and L. Mihally Phys. Rev. Lett. 56. 2529 (1986)

    Article  ADS  Google Scholar 

  4. Fukuyama. and P.A. Lee Phys. Rev. 13 17. 535 (1978) P.A. Lee and T.M. Rice Phys. Rev. B 19. 3970 (1979)

    Google Scholar 

  5. S. Sibani and P.B. Littlewood Phys. Rev. Lett. 64, 1305 (1990)

    Article  ADS  Google Scholar 

  6. A.A. Middleton and D.S. Fisher Phys. Rev. Lett. 66. 92 (1991)

    Article  ADS  Google Scholar 

  7. L. Pietronero and S. Strassler Phys. Rev. B 28, 5863 (1984)

    Article  ADS  Google Scholar 

  8. L. Mihally,M. Crommie and G. Grunner Eur. Phys. Lett. 4. 103 (1987)

    Article  ADS  Google Scholar 

  9. I. Webman Phil. Mag. 56,713 (1987) L. Parisi and L. Pietronero Eur. Phys. Lett. 16, 321 (1991) Physica A 179 1(1991) Almost all the exponents relevant to this paper which are given in those references are wrong, However I. Webman gives the proper phenomenology for this model and states the problem correctly.

    Google Scholar 

  10. S. Coppersmith Phys. Rev. Lett. 65. 1044 (1990)

    Article  ADS  Google Scholar 

  11. A.A. Middleton Phys. Rev. Lett. 68. 670 (1992)

    Article  ADS  Google Scholar 

  12. J.T. Chayes.L. Chayes. D.S. Fisher and T. Spenser Phys. Rev. Lett. 57, 2999 (1986) A.A. Middleton and D.S. Fisher 1992

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Olami, Z. (1993). The Critical Behavior of 1-d Charge Density Waves. In: Riste, T., Sherrington, D. (eds) Phase Transitions and Relaxation in Systems with Competing Energy Scales. NATO ASI Series, vol 415. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1908-5_17

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1908-5_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4843-9

  • Online ISBN: 978-94-011-1908-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics