{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,28]],"date-time":"2026-10-28T03:31:08Z","timestamp":1793158268490,"version":"4.5.0"},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,7,31]],"date-time":"2017-07-31T00:00:00Z","timestamp":1501459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2017,7,31]],"date-time":"2017-07-31T00:00:00Z","timestamp":1501459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    In this report, we propose a new concept of one-dimensional (1D) closed lines of Dirac magnon nodes in two-dimensional (2D) momentum space of quasi-2D quantum magnetic systems. They are termed \u201c2D Dirac magnon nodal-line loops\u201d. We utilize the bilayer honeycomb ferromagnets with intralayer coupling\n                    <jats:italic>J<\/jats:italic>\n                    and interlayer coupling\n                    <jats:italic>J<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L<\/jats:italic>\n                    <\/jats:sub>\n                    , which is realizable in the honeycomb chromium compounds CrX\n                    <jats:sub>3<\/jats:sub>\n                    (X\u2009\u2261\u2009Br, Cl, and I). However, our results can also exist in other layered quasi-2D quantum magnetic systems. Here, we show that the magnon bands of the bilayer honeycomb ferromagnets overlap for\n                    <jats:italic>J<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009\u2260\u20090 and form 1D closed lines of Dirac magnon nodes in 2D momentum space. The 2D Dirac magnon nodal-line loops are topologically protected by inversion and time-reversal symmetry. Furthermore, we show that they are robust against weak Dzyaloshinskii-Moriya interaction \u0394\n                    <jats:sub>\n                      <jats:italic>DM<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009&lt;\u2009\n                    <jats:italic>J<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L<\/jats:italic>\n                    <\/jats:sub>\n                    and possess chiral magnon edge modes.\n                  <\/jats:p>","DOI":"10.1038\/s41598-017-07276-8","type":"journal-article","created":{"date-parts":[[2017,7,25]],"date-time":"2017-07-25T10:19:25Z","timestamp":1500977965000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":42,"title":["Dirac Magnon Nodal Loops in Quasi-2D Quantum Magnets"],"prefix":"10.1038","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6147-2912","authenticated-orcid":false,"given":"S. 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