Abstract
Spin-lattice relaxation is analyzed in a crystal containing two types of paramagnetic centers having approximately equal resonant frequencies but markedly different spin-phonon couplings. It is assumed that for the centers having the strong spin-phonon coupling this coupling is stronger than the spin-spin coupling with other paramagnetic centers. The Green's function method is used. The spin-lattice relaxation time for the centers coupled weakly with the lattice through rapidly relaxing centers is found as a function of the difference between the splittings of their spin levels, the strength of the spin-spin coupling between these centers, the concentrations of these centers, and the strength of the spin-phonon coupling over rapidly relaxing centers.
Similar content being viewed by others
Literature cited
J. H. Van Vleck, in: Quantum Electronics, C. H. Townes (editor), Columbia Univ. Press, New York (1960), p. 392.
J. C. Gill and R. J. Elliott, in: Advances in Quantum Electronics, J. R. Singer (editor), Columbia Univ. Press, New York-London (1960), p. 392.
S. A. Al'tshuler and V. A. Skrebnev, Fiz. Tverd. Tela,9, 498 (1967).
S. V. Tyablikov, Methods of the Quantum Theory of Magnetism [in Russian], Izd. Nauka (1965).
E. N. Emel'yanova, N. V. Karlov, A. A. Manenkov, V. A. Milyaev, A. M. Prokhorov, S. P. Smirnov, and A. V. Shirkov, Zh. Éksp. Teor. Fiz.,44, 868 (1963).
R. S. Rubins, Proc. Phys. Soc.,80, 244 (1962).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya VUZ. Fizika, No. 3, pp. 15–20, March, 1970.
In conclusion the author thanks S. A. Al'tshuler and L. K. Aminov for useful discussions of these results.
Rights and permissions
About this article
Cite this article
Skrebnev, V.A. Energy transfer from paramagnetic ions to a lattice through rapidly relaxing centers. Soviet Physics Journal 13, 289–293 (1970). https://doi.org/10.1007/BF00818311
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00818311