Color Theorems, Chiral Domain Topology, and Magnetic Properties of FexTaS2

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• 作者：Yoichi Horibe ; Junjie Yang ; Yong-Heum Cho ; Xuan Luo ; Sung Baek Kim ; Yoon Seok Oh ; Fei-Ting Huang ; Toshihiro Asada ; Makoto Tanimura ; Dalyoung Jeong ; Sang-Wook Cheong
• 刊名：Journal of the American Chemical Society
• 出版年：2014
• 出版时间：June 11, 2014
• 年：2014
• 卷：136
• 期：23
• 页码：8368-8373
• 全文大小：466K
• 年卷期：v.136,no.23(June 11, 2014)
• ISSN：1520-5126

文摘

Common mathematical theories can have profound applications in understanding real materials. The intrinsic connection between aperiodic orders observed in the Fibonacci sequence, Penrose tiling, and quasicrystals is a well-known example. Another example is the self-similarity in fractals and dendrites. From transmission electron microscopy experiments, we found that Fe_xTaS₂ crystals with x = 1/4 and 1/3 exhibit complicated antiphase and chiral domain structures related to ordering of intercalated Fe ions with 2a 脳 2a and 鈭?a 脳 鈭?a superstructures, respectively. These complex domain patterns are found to be deeply related with the four color theorem, stating that four colors are sufficient to identify the countries on a planar map with proper coloring and its variations for two-step proper coloring. Furthermore, the domain topology is closely relevant to their magnetic properties. Our discovery unveils the importance of understanding the global topology of domain configurations in functional materials.