Abstract

Effects of spin-wave interaction are studied in detail on the dynamical properties of a two-dimensional Heisenberg antiferromagnet at zero temperature by using Holstein-Primakoff transformation. The dynamical transverse spin-correlation function is calculated up to the second order of the 1/S expansion. It is shown that the second-order correction gives rise to a large intensity of the sideband corresponding to three-magnon excitations, decreasing the intensity of the spin-wave peak. The equal-time transverse spin correlation function is found to be decreased from the value of the linear spin-wave theory. Renormalization factors are calculated of the spin-wave velocity, the sublattice magnetization, and the perpendicular susceptibility up to 1/(2S${)}^{2}$, in comparison with other theories.

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