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Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models

Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models

We analyze the point-group symmetries of generic multiband tight-binding models with respect to the transformation properties of the effective interactions. While the vertex functions in the orbital language may transform non-trivially under point-group operations, their point-group behavior in the band language can be simplified by choosing a suitable Bloch basis. …