The coordinate of a singular point of the time correlation functions for a heteronuclear spin system of a crystal | Научно-инновационный портал СФУ

The coordinate of a singular point of the time correlation functions for a heteronuclear spin system of a crystal

Тип публикации: статья из журнала

Год издания: 2005

Идентификатор DOI: 10.1134/1.1926438

Аннотация: 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. © 2005 Pleiades Publishing, Inc.

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Издание

Журнал: JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Выпуск журнала: Vol. 100, Is. 4

Номера страниц: 775-783

ISSN журнала: 10637761

Место издания: MELVILLE

Издатель: AMER INST PHYSICS

Авторы

  • Zobov V.E. (Kirenskii Institute of Physics,Siberian Division,Russian Academy of Sciences)
  • Popov M.A. (Krasnoyarsk State University)

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