Abstract
The microscopic physics underlying the sine-Gordon equation in quasi-one-dimensional conductors and two dimensional layered structures is explored.
An interesting parallel between these two systems is discussed, and the quantum nature of the former, involving the time variable, is found to be equivalent to the second space dimension of the latter. The soliton spectrum of both are studied and the implications of these discrete states for real physical systems, with three-dimensional couplings, are developed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. P. Pouget, S. K. Khanna, F. Denoyer, R. Comes, A. F. Garito, and A. J. Heeger, Phys. Rev. Lett. 37, 437 (1976). S. Kagoshima, T. Ishiguro, and H. Anzai (to be published in J. Phys. Soc. Japan)
D. E. Moncton, J. D. Axe, and F. J. Di Salvo, Phys. Rev. Lett. 34, 734 (1975)
A. Luther, Phys. Rev. B15, 403 (1977)
R. Bullough, to be published in Topics in Modern Physics (Springer). L. D. Fadeev, JETP Letters 21, 64 (1975).
R. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D11, 3424 (1975)
S. Coleman, Phys. Rev. D11, 2088 (1975)
D. C. Mattis and E. H. Lieb, J. Math. Phys. 6, 304 (1965)
A. Luther and I. Peschel, Phys. Rev. B9, 2911 (1974)
A. Luther and V. J. Emery, Phys. Rev. Lett. 33., 589 (1975)
S. Brazovsky and I. Dzyaloshinsky, Zh EFT 71, 2338 (1976) to be published
A. Luther, Phys. Rev. B14, 2153 (1976)
G. Yuval and P. W. Anderson, Phys. Rev. B1, 1522 (1970). Here the parameter ε = 2Jzρ for small J is found.
V. J. Emery and A. Luther, Phys. Rev. B9, 215 (1974)
S. Doniach (to be published)
V. L. Berezinskii, Sov. Phys. JETP 32, 493 (1971) Ibid.
V. L. Berezinskii, Sov. Phys. JETP 34, 610 (1972). This connection is reviewed by J. Jose (to be published)
W. L. McMillan, Phys. Rev. B14, 1496 (1976)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1977 Plenum Press, New York
About this chapter
Cite this chapter
Luther, A. (1977). Solitons and Charge Density Waves. In: Riste, T. (eds) Electron-Phonon Interactions and Phase Transitions. NATO Advanced Study Institutes Series, vol 29. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8921-1_4
Download citation
DOI: https://doi.org/10.1007/978-1-4615-8921-1_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-8923-5
Online ISBN: 978-1-4615-8921-1
eBook Packages: Springer Book Archive