Vector, Bidirector and Bloch Skyrmion Phases Induced by Structural Crystallographic Symmetry Breaking

Abstract

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 for species 32 > 3, 422 > 4 and 622 > 6, Bogdanov-Yablonskii phenomenological theory for a ferromagnetic Bloch Skyrmions applies also to the ferroelectric Bloch Skyrmions. In these fully-ferroelectric and nonferroelastic species, the Ginzburg Landau functional allows a pseudo-Lifshitz invariant of chiral bidirector symmetry, analogous to the chiral Dzyaloshinskii-Moria term assumed in magnetic Bloch Skyrmion theory.

arXiv comment5 pages, 3 figures

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Cited by in corpus (7)

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• Microscopic Origin of the Electric Dzyaloshinskii-Moriya Interaction
• Antiskyrmionic ferroelectric medium
• The anti-symmetric and anisotropic symmetric exchange interactions between electric dipoles in hafnia
• Strain dependence of the Bloch domain component in 180${}^{\circ }$ domains in bulk PbTiO${}_3$ from first-principles
• Ferroelectric transition of a chiral molecular crystal BINOL2DMSO