Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

Quantum Spin-Wave Theory for Non-collinear Spin Structures, a Review

Version 1 : Received: 14 July 2022 / Approved: 18 July 2022 / Online: 18 July 2022 (10:58:48 CEST)

A peer-reviewed article of this Preprint also exists.

Diep, H.T. Quantum Spin-Wave Theory for Non-Collinear Spin Structures, a Review. Symmetry 2022, 14, 1716. Diep, H.T. Quantum Spin-Wave Theory for Non-Collinear Spin Structures, a Review. Symmetry 2022, 14, 1716.

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 from 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 thin films with surface effects. Some new unpublished results are also included. Analytical details and the validity of the method are shown and discussed.

Keywords

Quantum Spin-Wave Theory; Frustrated Spin Systems; Non-Collinear Spin Configurations; Dzyaloshinskii-Moriya Interaction; Phase Transition; Green’s Function Theory; Monte Carlo Simulation

Subject

Physical Sciences, Condensed Matter Physics

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