Classification of continuous phase transitions and stable phases. I. Six-dimensional order parameters

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Abstract
We have classified continuous phase transitions in physical systems where the order parameter transforms as a six-dimensional representation of a space group. The Landau potential is minimized with the use of Kim’s geometrical method and a table of isotropy subgroups recently obtained by Stokes and Hatch. For most images of the active six-dimensional space-group representations, the complete list of stable phases is presented along with the corresponding region in coupling coefficient space (or pressure-temperature plane) for each stable phase.