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 We thank Wu Zhou, Chinese Academy of Sciences, for supplying the sample used in all the measurement. The authors acknowledge support from the Center of Interdisciplinary Mathematics (CIM) at Uppsala University, the Swedish Research Council, the Goran Gustafsson’s Foundation, the K. and A. Wallenberg Foundation (project no. 2015.0060). This research was partially supported by the Center for Nanophase Materials Sciences, which is a DOE Office of Science User Facility.