The lattice contribution to the thermal conductivity (κph) in La0.80Ca0.20 MnO3 manganites is discussed within the Debye-type relaxation rate approximation in terms of the acoustic phonon frequency and relaxation time. The theory is formulated when heat transfer is limited by the scattering of phonons from defects, grain boundaries, charge carriers, and phonons. The lattice thermal conductivity dominates in La–Ca–MnO manganites and is an artifact of strong phonon-impurity and -phonon scattering mechanisms in the ferromagnetic metallic state. The electronic contribution to the thermal conductivity (κe) is estimated following the Wiedemann–Franz law. This estimate sets an upper bound on κe, and in the vicinity of the Curie temperature (240 K) κe is about 1% of total heat transfer of manganites. Another important contribution in the metallic phase should come from spin waves (κm). It is noticed that κm increases with a T2 dependence on the temperature. These channels for heat transfer are algebraically added and κtot develops a broad peak at about 55 K, before falling off at lower temperatures. The behavior of the thermal conductivity in manganites is determined by competition among the several operating scattering mechanisms for the heat carriers and a balance between electron, magnon, and phonon contributions. The numerical analysis of heat transfer in the ferromagnetic metallic phase of manganites shows similar results as those revealed from experiments.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Salamon M.B., Jaime M. (2001). Rev. Mod. Phys. 73, 583
M. V. Abrashev, V. G. Avanov, M. N. Iliev, R. A. Chakalov, R. I. Chakalova, and C. Thomsen, Phys. Stat. Sol. (b) 215, 631 (1999); M. V. Abrashev, A. P. Litvinchuk, M. N. Iliev, R. L. Meng, V. N. Popov, V. G. Ivanov, R. A. Chakalov, and C. Thomsen, Phys. Rev. B 59, 4146 (1999).
J. W. Lynn, R. W. Erwin, J. A. Borchers, Q. Huang, and A. Santoro, Phys. Rev. Lett. 76, 4046 (1996); T. G. Perring, G. Aeppli, S. M. Hayden, S. A. Carter, J. P. Remeika, and S.-W. Cheong, Phys. Rev. Lett. 77, 711 (1996).
Visser D.W., Ramirez A.P., Subramanian M.A. (1997). Phys. Rev. Lett. 78: 3947
Cohn J.L., Neumeier J.J., Popoviciu C.P., McClellan K.J., Leventouri Th. (1997). Phys. Rev. B 56, R8495
Hejtmanek J., Jirak Z., Krupicka S., Martin C., Simon Ch., Maignan A., Raveau B., Grivei E., Issi J.P. (1997). J. Appl. Phys. 81: 4975
Chen B., Rojo A.G., Uher C., Ju H.L., Greene R.L. (1997). Phys. Rev. B 55, 15471
Ikebe M., Fujishiro H., Konno Y. (1998). J. Phys. Soc. Jpn. 67: 1083
Uhlenbruck S., Büchner B., Gross R., Freimuth A., Maria de Leon Guevara A., Revcolevschi A. (1998). Phys. Rev. B 57, R5571
Zhou J.-S., Goodenough J.B. (2001). Phys. Rev. B 64, 024421
Callaway J. (1991). Quantum Theory of the Solid State. Academic Press, London
D. Douthett and S. A. Friedberg, Phys. Rev. 121, 1662 (1961); C. M. Bhandari, and G. S. Verma, Phys. Rev. 152, 731 (1966).
Mahendiran R., Tiwary S.K., Raychaudhuri A.K., Ramakrishanan T.V., Mahesh R., Rangavittal N., Rao C.N.R. (1996). Phys. Rev. B 53: 3348
Varshney D., Kaurav N. (2005). J. Low Temp. Phys. 141, 165
Varshney D., Tosi M.P. (2000). J. Phys. Chem. Solids 61, 683
Ghivelder L., Abrego Castillo I., Alford N.M., Tomka G.H., Riedi P.C., MacManus-Driscoll J., Akther Hossain A.K.M., Cohen L.F. (1998). J. Magn. Magn. Mater. 189, 274
Berman R. (1966). Thermal Conductivity in Solids. Oxford University Press, New York
Biotteau G., Hennion M., Moussa F., Rodriguez-Carvajal J., Pinsard L., Revcolevschi A., Mukovskii Y.M., Shulyatev D. (2001). Phys. Rev. B 64, 104421
Fernandez-Baca J.A., Dai P., Hwang H.Y., Kloc C., Cheong S.-W. (1998). Phys. Rev. Lett. 80: 4012
Ibarra M.R., Algarabel P.A., Marquina C., Blasco J., García J. (1997). Phys. Rev. Lett. 78: 3947
McCollum D.C., Wild R.L. (1964). J. Callaway, Phys. Rev. 136, A426
Douglass R.L. (1963). Phys. Rev. 129: 1132
Li Z.Q., Zhang X.H., Li W.R., Song W., Liu H., Wu P., Bai H.L., Jiang E.Y. (2006). Phys. B 371, 177
Hejtmánek J., Pollert E., Jirák Z., Sedmidubský D., Strejc A., Maignan A., Martin Ch., Hardy V., Kužel R., Tomioka Y. (2006). Phys. Rev. B 66, 014426
Billinge S.J.L., DiFrancessco R.G., Kwei G.H., Neumeier J.J., Thompson J.D. (1996). Phys. Rev. Lett. 77, 715
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Varshney, D., Kaurav, N. Numerical Analysis of Heat Transport Behavior in the Ferromagnetic Metallic State of La0.80Ca0.20MnO3 Manganites. J Low Temp Phys 147, 7–30 (2007). https://doi.org/10.1007/s10909-006-9298-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-006-9298-1