Abstract
We propose two simplified models in order to discuss the origin of the Peierls transition in one-dimensional systems. For the finite-mode model we show that the thermodynamic properties are described correctly by the most general mean field approximation. But the discussion of the zero-bandwidth model suggests that this result is probably due to the fact of taking into account only a finite number of phonon modes even in the thermodynamic limit.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Allender, D., Bray, J.W., Bardeen, J.: Phys. Rev. B9, 119 (1974)
Rice, M.J., Strässler, S.: Solid State Commun.13, 125 (1973)
Griffiths, R.B.: In: Phase Transitions and critical Phenomena, Vol.1, eds. C. Domb and M.S. Green. London: Academic Press 1972
Hepp, K., Lieb, E.H.: Phys. Rev. A8, 2517 (1973)
Author information
Authors and Affiliations
Additional information
This research was partly initiated because of discussions during the “XI-Annual Winter School of Theoretical Physics” in Karpacz, Poland. One of the authors (H.L.) would like to thank the Deutsche Forschungsgemeinschaft for financial support which enabled his attendance at this winter school.
Rights and permissions
About this article
Cite this article
Brandt, U., Leschke, H. On the Peierls transition in exactly soluble models. Z. Physik 271, 295–298 (1974). https://doi.org/10.1007/BF01677938
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01677938