Abstract
The Slater KDP model is solved for all temperatures and with an electric field. Above Tc the specific heat behaves lik (T−T c )−1/2 and the polarizability like (T−T c )−1. There is first-order phase transition at T c (latent heat). Below T c the free energy is simply -∣ℰ∣d (ℰ = electric field, d = dipole moment).
Work supported by National Science Foundation Grant No. GP-6851.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. C. Slater, J. Chem. Phys. 9, 16 (1941).
H. Takahasi, Proc. Phys. Math. Soc. (Japan) 23, 1069 (1941).
J. F. Nagle, J. Math. Phys. 7, 1492 (1966); E. A. Uebling, in Lectures in Theoretical Physics edited by Wesley E. Brittin et al. (Interscience Publishers, Inc., New York, 1963 ), Vol. 5; F. Jona and G. Shirane, Ferroelectric Crystals ( The Macmillan Company, New York, 1962 ).
F. Y. Wu, Phys. Rev. Letters 18, 605 (1967).
E. H. Lieb, Phys. Rev. Letters 18, 1046 (1967)
E. H. Lieb, Phys. Rev. Letters 18, 692 (1967).
C. N. Yang and C. P. Yang, Phys. Rev. 150, 327 (1966).
G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities (Cambridge University Press, Cambridge, England, 1964).
C. N. Yang and C. P. Yang, Phys. Rev. 151, 258 (1966).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lieb, E.H. (2004). Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Condensed Matter Physics and Exactly Soluble Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06390-3_28
Download citation
DOI: https://doi.org/10.1007/978-3-662-06390-3_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06093-9
Online ISBN: 978-3-662-06390-3
eBook Packages: Springer Book Archive