Abstract
For the Eu x Sr1−x S-system in the spin glass regime (x=0.6 and 0.4) the shape functions of the inelastic neutron scattering cross sections at low temperatures are calculated from a numerical study of the imaginary partχ″(q,E) of the dynamic susceptibility at T=0 K. Within the calculation, the continued fraction algorithms of the preceding paper are applied. Additionally, for low temperatures, the spin-autocorrelation functionφ u (t) is calculated, averaged over all magnetic sitesl. From this quantity, it is also derived, how the (metastable) Edwards-Anderson order parameterq(T) decreases with increasing T, namely ∝(1-const.·T2). Finally, from a numerical study of the inverse participation ratio it is concluded that the spin excitations in the upper half of the energy range covered by the density of states should be localized.
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Isolated pairs of spins would have excitations atE/(2sJ nn)=2 and =1, respectively, for nearest-neighbour or second-nearestneighbour interaction (J nnn=−Jnn/2) This fact might contribute to the two “bumps” appearing in Fig. 7 at these energies
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Dedicated to Prof. Dr. W. Döring on the occasion of his 70th birthday
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Krey, U. Excitations in Heisenberg spin glasses. Z. Physik B - Condensed Matter 42, 231–239 (1981). https://doi.org/10.1007/BF01422027
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DOI: https://doi.org/10.1007/BF01422027