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. 2017 Jul 31;7:6931. doi: 10.1038/s41598-017-07276-8

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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The magnon energy bands and magnon density of states. (a) Magnon band structures with gap Dirac magnon-nodal lines (rectangular box) as well as gap Dirac magnon points along the Brillouin zone paths in Fig. 1(b). The inset shows the 3D band near K as indicated by the same colour codes of the 2D bands. (b) The corresponding magnon density of states (DOS). The plots are generated by setting Δ_DM = 0.1 J, J _L = 0.08 J.