Abstract
Wegner's model for magnetic phase transitions on elastic isotropic lattices is generalized to elastic anisotropy and the general spin-lattice coupling linear in lattice distortion. Cyclic boundary conditions are employed. The elimination of the elastic degrees of freedom gives rise to an effective spin Hamiltonian which consists of a shortrange and a long-range part. Renormalization group analysis yields the following result: If the lattice couples to a relevant operator with an exponenty >d/2, the long-range part contains a relevant contribution with exponent 2y—d leading away from any fixed pointH * associated with the short-range interactions. In particular,H * is unstable for positive specific heat exponentα, and, in most cases, if a spin-anisotropy is involved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bergman, D.J., Halperin, B.I.: preprint
de Moura, M.A., Lubensky, T.C., Imry, Y., Aharony, A.: preprint
Wegner, F.J.: J. Phys. C7, 2109 (1974)
Wilson, K.G., Kogut, J.: Phys. Rept.12 C, 75 (1974)
Wegner, F.J.: Lecture Notes in Physics, Vol. 37, pp. 171–196. Berlin-Heidelberg-New York: Springer 1975
Wegner, F.J.: Phase Transitions and Critical Phenomena, Vol. 6, edited by Domb, C. and Green, M.S., Academic Press, N.Y. (1975), to be published
Wegner, F.J.: Phys. Rev. B6, 1891 (1972)
Bennett, H.S., Pytte, E.: Phys. Rev.155, 553 (1967)
Aharony, A., Bruce, A.D.: Phys. Rev. Lett.33, 427 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bender, G. Phase transitions of ann-vector model on an elastic anisotropic lattice. Z Physik B 23, 285–288 (1976). https://doi.org/10.1007/BF01318972
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01318972