Color theorems, chiral domain topology, and magnetic properties of Fe xTaS2

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

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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 × 2a and â̂š3a × â̂ š3a 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.

Original languageEnglish (US)
Pages (from-to)8368-8373
Number of pages6
JournalJournal of the American Chemical Society
Issue number23
StatePublished - Jun 11 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Catalysis
  • General Chemistry
  • Biochemistry
  • Colloid and Surface Chemistry


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