Abstract
A cooperative electron-phonon system is considered which exhibits a triply degenerate electronic ground state in each unit cell. As a model substance a simple cubic crystal is taken where each Jahn-Teller molecule has an octahedral surrounding. TheT electronic ground state is linearly coupled toe andt type vibrations with thee coupling dominating. By a unitary transformation the electron-phonon system is approximately decoupled. The remaining cooperative electron-electron system displays transport properties which are discussed in terms of a modified Maradudin formalism. Thermal conductivity is calculated by linear response theory. It is shown that in the transformed picture the phonon heat current approximately is independent from the pseudo spin heat current and the total thermal conductivity is given as a simple superposition of both contributions.
Similar content being viewed by others
References
Gehring, G.A., Gehring, K.A.: Rep. Prog. Phys.38, 1 (1975)
Elliott, R.J., Harley, R.T., Hayes, W., Smith, S.R.P.: Proc. Roy. Soc. A328, 217 (1972)
Thomas, H.: The Jahn-Teller Effect as a Mechanism for Structural Phase Transitions, In: Anharmonic Lattices, Structural Transitions and Melting, Riste, T. (ed.). Leiden: Noordhoff (1974)
Thomas, H.: Theory of Jahn-Teller Transitions, In: Electron-Phonon Interactions and Phase Transitions, Riste, T. (ed.). New York: Plenum 1977
Thomas, H.: Mean Field Theory of Phase Transitions, In: Local Properties at Phase Transitions, Müller, K.A., Rigamonti, A. (eds.). Bologna: Società Italiana di Fisica 1976
Kataoka, M., Kanamori, J.: J. Phys. Soc. Jap.32, 113 (1972)
Kino, Y., Lüthi, B., Mullen, M.E.: J. Phys. Soc. Jap.33, 687 (1972)
Ray, D.K., Young, A.P.: J. Phys. C6, 3353 (1973)
Brühl, S., Wagner, M.: In: Proceedings of the International Conference on Lattice Dynamics, Paris: Flamarion Sciences 1977
Höck, K.-H., Schröder, G., Thomas, H.: Z. Physik B30, 403 (1978)
Junker, W., Wagner, M.: Physica94A, 385 (1978)
Parsons, M.W.S., Rosenberg, H.M.: In: International Conference on Phonon Scattering in Solids, Albany, H.J. (ed.). Paris: La Documentation Française (1972)
Elliott, R.J., Parkinson, J.B.: Proc. Phys. Soc.92, 1024 (1967)
Sheard, F.W., Toombs, G.A.: Solid State Commun.12, 713 (1973)
Wagner, M.: Phys. Letters A53, 1 (1975)
Sigmund, E., Wagner, M.: Z. Physik268, 245 (1974)
Kubo, R.: J. Phys. Soc. Jap.12, 570, 1203 (1957)
Maradudin, A.A.: Westinghouse Research Laboratories, Scientific Paper 63-129-103-Pl, unpublished (1963)
Maradudin, A.A.: J. Am. Chem. Soc.86, 3405 (1964)
Callaway, J.: Phys. Rev.113, 73 (1959)
Carruthers, P.: Rev. Mod. Phys.33, 92 (1961)
Nettleton, R.E.: Phys. Rev.132, 2032 (1963)
Almukhov, V.I., Zavt, G.S.: Sov. Phys. Solid State13, 2041 (1972)
Hardy, R.J.: Phys. Rev.132, 168 (1963)
Klein, R., Wehner, R.K.: Phys. Kond. Materie10, 1 (1969)
Wagner, M.: In: Cooperative Phenomena, Haken, H., Wagner, M. (eds.). Berlin, Heidelberg, New York: Springer 1973
Peierls, R.E.: Ann. Physik3, 1055 (1929)
Brühl, S.: Z. Physik B35, 287 (1979)
Wenzel, G.: Z. Physik B36, 141 (1979)
Author information
Authors and Affiliations
Additional information
Supported by a grant from the Deutsche Forschungsgemeinschaft
Rights and permissions
About this article
Cite this article
Wenzel, G. Transport in cooperativeT−(e+t) Jahn-Teller systems. Z Physik B 36, 133–139 (1979). https://doi.org/10.1007/BF01320214
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01320214