Abstract
The singularities of the time autocorrelation functions (ACFs) for a heteronuclear spin system of a crystal are investigated. Exact expressions are obtained for ten moments of the spectra of ACFs in the approximation of a self-consistent fluctuating field (SCFF) with arbitrary axial symmetry. These expressions are applied to determine the coordinate of the lowest singular point of these functions on the imaginary-time axis for a spin system with a dipole-dipole interaction (DDI). The leading corrections to this coordinate due to the correlation of local fields in real crystals are calculated. These corrections are determined by lattice sums with triangles of four bonds and pairs of four bonds. Numerical values of the coordinate are obtained for a LiF crystal in a magnetic field directed along three crystallographic axes. An increase in the coordinate of the singular point, which follows from the theory and leads to a faster falloff of the wings of the ACF spectra, qualitatively agrees with experiment.
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Translated from Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 127, No. 4, 2005, pp. 877–885.
Original Russian Text Copyright © 2005 by Zobov, Popov.
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Zobov, V.E., Popov, M.A. The coordinate of a singular point of the time correlation functions for a heteronuclear spin system of a crystal. J. Exp. Theor. Phys. 100, 775–783 (2005). https://doi.org/10.1134/1.1926438
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DOI: https://doi.org/10.1134/1.1926438