We study in this paper magnetic properties of a system of quantum Heisenberg spins interacting with each other via a ferromagnetic exchange interaction J and an in-plane Dzyaloshinskii-Moriya interaction D. The non-collinear ground state due to the competition between J and D is determined. We employ a self-consistent Green'function theory to calculate the spin-wave spectrum and the layer magnetizations at finite T in two and three dimensions as well as in a thin film with surface effects. Analytical details and the validity of the method are shown and discussed.
@article{arxiv.1612.04147,
title = {Theory of magnons in spin systems with Dzyaloshinskii-Moriya interaction},
author = {Sahbi El-Hog and Hung T. Diep and Henryk Puszkarski},
journal= {arXiv preprint arXiv:1612.04147},
year = {2017}
}