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. 2018 Feb 12;9:638. doi: 10.1038/s41467-018-02918-5

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© The Author(s) 2018

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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Fig. 4 — Phonon induced spin-Floquet magnetism. a Schematic for the electronic configuration with one spin-down and spin-up electron being added onto the K and K′ valley, respectively. b Cumulative time average of the total spin of MoS₂ being driven by the circularly polarized E″ phonon. c Schematics for the two spin-Floquet eigenstates at K and K′ defined by the right-circularly polarized phonon. d The same time-averaged total spin with the linearly polarized phonon. Details of each component on each valley are given in Supplementary Fig. 7