We have investigated the resistivity anomalies of ferromagnetic metals near the Curie temperature T c using the itinerant model of magnetic electrons Current theory describing these anomalies is based on the localized model of magnetic electrons in ferromagnetic metals. We use the itinerant model to treat the spin correlation function. Using the second quantization techniques of field theory, the correlation function is found. Thence, the scattering cross section is obtained. The relaxation time and the resistivity are calculated for both the paramagnetic and the ferromagnetic regions. The temperature derivatives of the resistivity are then derived for temperatures approaching the Curie temperature from both below and above. Our results are positive infinite for T approaching T c from below and negative infinite for T approaching T c from above.
Similar content being viewed by others
References
P. P. Craig, W. I. Goldburg, T. A. Kitchens, and J. I. Budnick, Phys. Rev. Lett. 19, 1334 (1967).
P. G. de Gennes and J. Friedel, J. Phys. Chem. Solids 4, 71 (1958).
R. J. Weiss and A. S. Marotta, J. Phys. Chem. Solids 9, 302 (1959).
M. E. Fisher and J. S. Langer, Phys. Rev. Lett. 20, 665 (1968).
T. G. Richard and D. J. Geldart, Phys. Rev. Lett. 30, 290 (1973).
R. Kubo and T. Nagamiya (eds.). Solid State Physics, (McGraw-Hill, New York, 1969), p. 525.
J. M. Ziman, Principles of the Theory of Solids, (Cambridge Univ. Press, London, 1964), p. 185.
L. van Hove, Phys. Rev. 95, 249 (1954).
L. van Hove, Phys. Rev. 95, 1374 (1954).
T. Izuyama, D. J. Kim, and R. Kubo, J. Phys. Soc. Japan 18, 1025 (1963).
R. M. White, Quantum Theory of Magnetism (McGraw-Hill, New York, 1970), p. 18.
E. C. Stoner, J.Phys. Radium 12, 372 (1951); Repts. Prog. Phys. 11, 43 (1947); 13, 83 (1950); Proc. Roy. Soc. 165A, 372 (1938); 169A, 339 (1939).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Su, DR., Wu, T.M. Resistivity anomalies for ferromagnetic metals at Curie points. J Low Temp Phys 19, 481–491 (1975). https://doi.org/10.1007/BF00114094
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00114094