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Interplay between point-group symmetries and the choice of the bloch basis in multiband models

Symmetry, ISSN: 2073-8994, Vol: 5, Issue: 4, Page: 313-343
2013
  • 6
    Citations
  • 0
    Usage
  • 17
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    6
    • Citation Indexes
      6
  • Captures
    17

Article Description

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. We first give two analytically accessible examples. Then, we show that, for a large class of models, a natural Bloch basis exists, in which the vertex functions in the band language transform trivially under all point-group operations. As a consequence, the point-group symmetries can be used to reduce the computational effort in perturbative many-particle approaches, such as the functional renormalization group. © 2013 by the authors; licensee MDPI, Basel, Switzerland.

Bibliographic Details

Honerkamp, Carsten; Maier, Stefan A.; Wang, Qiang-Hua

MDPI AG

Computer Science; Chemistry; Mathematics; Physics and Astronomy

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