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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
For a summary see G. Grimmer Bev. Mod. Phys. 60. 1129 (1988)
Z. Wang and N.P. Ong Phys. Rev. Lett. 58. 2375 (1987)
G. Kriza. and L. Mihally Phys. Rev. Lett. 56. 2529 (1986)
Fukuyama. and P.A. Lee Phys. Rev. 13 17. 535 (1978) P.A. Lee and T.M. Rice Phys. Rev. B 19. 3970 (1979)
S. Sibani and P.B. Littlewood Phys. Rev. Lett. 64, 1305 (1990)
A.A. Middleton and D.S. Fisher Phys. Rev. Lett. 66. 92 (1991)
L. Pietronero and S. Strassler Phys. Rev. B 28, 5863 (1984)
L. Mihally,M. Crommie and G. Grunner Eur. Phys. Lett. 4. 103 (1987)
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.
S. Coppersmith Phys. Rev. Lett. 65. 1044 (1990)
A.A. Middleton Phys. Rev. Lett. 68. 670 (1992)
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
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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