Quantum Spin-Wave Theory for non-collinear Spin Structures, a Review
arXiv:2209.06771 · doi:10.3390/sym14081716
Abstract
In this review, we trace the evolution of the quantum spin-wave theory treating non-collinear spin configurations. Non-collinear spin configurations are consequences of the frustration created by competing interactions. They include simple chiral magnets due to competing nearest-neighbor (NN) and next-NN interactions and systems with geometry frustration such as the triangular antiferromagnet and the Kagomé lattice. We review here spin-wave results of such systems and also systems with the Dzyaloshinskii-Moriya interaction. Accent is put on these non-collinear ground states which have to be calculated before applying any spin-wave theory to determine the spectrum of the elementary excitations from the ground states. We mostly show results obtained by the use of a Green's function method. These results include the spin-wave dispersion relation and the magnetizations, layer by layer, as functions of in 2D, 3D and thin films. Some new unpublished results are also included. Technical details and discussion on the method are shown and discussed.
arXiv comment28 figures. arXiv admin note: text overlap with arXiv:2204.12248
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