{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:33:45Z","timestamp":1760243625304,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2013,11,11]],"date-time":"2013-11-11T00:00:00Z","timestamp":1384128000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym5040313","type":"journal-article","created":{"date-parts":[[2013,11,11]],"date-time":"2013-11-11T12:41:10Z","timestamp":1384173670000},"page":"313-343","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models"],"prefix":"10.3390","volume":"5","author":[{"given":"Stefan","family":"Maier","sequence":"first","affiliation":[{"name":"Institute for Theoretical Solid State Physics, RWTH Aachen University, Aachen D-52056, Germany"},{"name":"JARA-FIT, Fundamentals of Future Information Technology, J\u00fclich 52425, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carsten","family":"Honerkamp","sequence":"additional","affiliation":[{"name":"Institute for Theoretical Solid State Physics, RWTH Aachen University, Aachen D-52056, Germany"},{"name":"JARA-FIT, Fundamentals of Future Information Technology, J\u00fclich 52425, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang-Hua","family":"Wang","sequence":"additional","affiliation":[{"name":"National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,11,11]]},"reference":[{"key":"ref_1","unstructured":"Tinkham, M. 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