Color Theorems, Chiral Domain Topology, and Magnetic Properties of FexTaS2
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- Color Theorems, Chiral Domain Topology, and Magnetic Properties of FexTaS2
- Horibe, Yoichi; Yang, Junjie; Cho, Yong-Heum; Luo, Xuan; Kim, Sung Baek; Oh, Yoon Seok; Huang, Fei-Ting; Asada, Toshihiro; Tanimura, Makoto; Jeong, Dalyoung; Cheong, Sang-Wook
- CHARGE-DENSITY WAVES; EVERY PLANAR MAP; TANTALUM DICHALCOGENIDES; MCMILLAN CONCEPT; QUASI-CRYSTALS; 2H-TASE2; DISCOMMENSURATIONS; SUPERCONDUCTIVITY; NIOBIUM
- Issue Date
- AMER CHEMICAL SOC
- JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, v.136, no.23, pp.8368 - 8373
- 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 FexTaS2 crystals with x = 1/4 and 1/3 exhibit complicated antiphase and chiral domain structures related to ordering of intercalated Fe ions with 2a x 2a and root 3a x root 3a 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.
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