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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 11, Pages 780–784 (Mi jetpl4953)

CONDENSED MATTER

On the concentration dependence of wings of spectra of spin correlation functions of diluted Heisenberg paramagnets

V. E. Zobova, M. M. Kucherovb

a Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences
b Institute of Space and Information Technologies, Siberian Federal University

Abstract: Singular points of the autocorrelation function on the imaginary time axis that is averaged over the location of spins in the magnetically dilute spin lattice with isotropic spin-spin interaction at a high temperature have been studied. For the autocorrelation function in the approximation of the self-consistent fluctuating local field, nonlinear integral equations have been proposed which reflect the separation of the inhomogeneous spin systems into close spins and other spins. The coordinates of the nearest singular points have been determined in terms of the radius of convergence of the expansion in powers of time, the coefficients of which have been calculated from recurrence equations. It has been shown that the coordinates of singular points and, consequently, the wings of the autocorrelation function spectrum at strong magnetic dilution are determined by the modulation of the local field by the nearest pairs of spins leading to its logarithmic concentration dependence.

DOI: https://doi.org/10.7868/S0370274X16110059

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English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 103:11, 687–691

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Revised: 11.04.2016

Citation: V. E. Zobov, M. M. Kucherov, “On the concentration dependence of wings of spectra of spin correlation functions of diluted Heisenberg paramagnets”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:11 (2016), 780–784; JETP Letters, 103:11 (2016), 687–691

Citation in format AMSBIB
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This publication is cited in the following articles:
1. V. A. Atsarkin, F. S. Dzheparov, Z. Phys. Chemie-Int. J. Res. Phys. Chem. Chem. Phys., 231:3, SI (2017), 545–560
2. V. E. Zobov, M. M. Kucherov, J. Exp. Theor. Phys., 124:1 (2017), 151–158
3. V. E. Zobov, M. M. Kucherov, JETP Letters, 107:9 (2018), 553–557
4. Zobov V.E. Kucherov M.M., J. Exp. Theor. Phys., 128:4 (2019), 641–649
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