Vector, bidirector, and Bloch skyrmion phases induced by structural crystallographic symmetry breaking

  title={Vector, bidirector, and Bloch skyrmion phases induced by structural crystallographic symmetry breaking},
  author={Kay Condie Erb and Jiř{\'i} Hlinka},
  journal={Physical Review B},
The 212 species of structural phase transitions which break macroscopic symmetry are analyzed with respect to the occurrence of time-reversal-invariant vector and bidirector order parameters. The possibility of discerning the orientational domain states of the low-symmetry phase by these ``vectorlike'' physical properties has been derived using a computer algorithm exploiting the concept of polar, axial, chiral, and neutral dipoles. It is argued that the presence of a pseudo-Lifshitz invariant… 
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