Abstract
The problem of a one-dimensional fermion system whose density is at or near to that of a half-filled band is of recent experimental and theoretical interest. For fermions with chemical potential μ and density ρ (measured from the half-filled band level) the relation ρ(μ) at zero temperature defines the lock-in phase transition. In the spin-Peierls problem [1] the magnetization is mapped into p of spinless fermions and the external magnetic field into μ. In a recent experiment [2] on a spin-Peierls system a first-order lock-in transition was observed. On the other hand, when doping polyacetylene [3], the experiment controls ρ — the doping level, and not the chemical potential. If the lock-in transition is first order it implies that for ρ smaller than some ρ* the system will phase separate into regions with either ρ=0 or ρ=ρ*. The system will then appear as metallic particles embedded in an insulating medium. This is indeed consistent with: a) infrared absorption data [4] which shows metallic absorption coexistent with the semiconducting gap, b) the appearance of metallic type magnetic susceptibility [5] below the threshold for the metallic d.c. behaviour and c) temperature dependence of the conductivity which is consistent with percolation between metallic particles [6].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E. Pytte: Phys. Rev. B10, 4637 (1974)
D. Bloch et al.: Phys. Rev. Lett. 44, 294 (1980)
C.K. Chiang et al.: Phys. Rev. Lett. 39, 1098 (1977)
C.R. Fincher et al.: Phys. Rev. B20, 1589 (1979)
B.R. Weinberger et al.: Phys. Rev. B20, 223 (1979)
Y. Tomkiewicz et al.: Phys. Rev. Lett. 43, 1532 (1979)
W.P. Su, J.R. Schrieffer and A.J. Heeger: Phys. Rev. Lett. 42, 1698 (1979), and Phys. Rev. B (to be published).
W.F. Brinkeman and T.M. Rice: Phys. Rev. B7, 1508 (1973)
B. Horovitz: Solid State Commun. 34, 61 (1980)
B. Horovitz (to be published)
H. Takayama, Y.R. Lin-Liu and K. Maki: Phys. Rev. B21, 2388 (1980
M. Grabowski, K.R. Subbaswamy and B. Horovitz: Solid State Commun. 34, 911 (1980)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Horovitz, B. (1981). Attracting Solitons and a first Order Lock-In Transition: Metallic Polyacetylene and the Spin-Peierls System. In: Bernasconi, J., Schneider, T. (eds) Physics in One Dimension. Springer Series in Solid-State Sciences, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81592-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-81592-8_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81594-2
Online ISBN: 978-3-642-81592-8
eBook Packages: Springer Book Archive