Date of this Version
Physical Review B
The longitudinal dynamical susceptibility of the Heisenberg ferromagnet is studied at short wavelengths and low temperatures. It is shown that identical results to order 1/S are obtained using (a) a spin decoupling technique, (b) a diagrammatic method using the Holstein-Primakoff transformation, and (c) a diagrammatic method using the Dyson-Maleev transformation. We thus conclude that there are no significant kinematic effects at low temperatures. Using the random-phase approximation, we find that the Dyson-Maleev interactions between magnons are too weak to support the existence of a zero-sound mode. Both these conclusions disagree with the recent results of other authors.
Harris, A. (1971). Longitudinal Dynamical Susceptibility of the Heisenberg Ferromagnet at Short Wavelengths and Low Temperatures. Physical Review B, 3 (9), 3065-3071. http://dx.doi.org/10.1103/PhysRevB.3.3065
Date Posted: 12 August 2015
This document has been peer reviewed.