Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 86: Correlated Electrons: (General) Theory 2
TT 86.4: Talk
Thursday, March 19, 2015, 10:15–10:30, H 3005
Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models — •Stefan A. Maier1 and Carsten Honerkamp1,2 — 1Institute for Theoretical Solid State Physics, RWTH Aachen University, D-52056 Aachen, Germany — 2Member of JARA-FIT, Jülich-Aachen Research Alliance–Fundamentals of Future Information Technology
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 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 [cf. our article in Symmetry, 5(4), 313 (2013)]. 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.