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Flat bands have band crossing points with other dispersive bands in many systems including the canonical flat band models in the Lieb and kagome lattices.
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Tatsuhiro Misumi and Hideo Aoki, “New class of flat-band models on tetragonal and hexagonal lattices: Gapped versus crossing flat bands,” Physical Review B 96
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2018
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2018
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2019
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2019
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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2020
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Valerio Peri, Zhi-Da Song, Marc Serra-Garcia, Pascal Engeler, Raquel Queiroz, Xueqin Huang, Weiyin Deng, Zhengyou Liu, B. Andrei Bernevig, and Sebastian D. Huber, “Experimental characterization of fragile topology in an acoustic metamaterial,” Science 367
2020
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C. V. Morfonios, M. Röntgen, M. Pyzh, and P. Schmelcher, “Flat bands by latent symmetry,” Physical Review B 104
2021
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2021
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Wulayimu Maimaiti, Alexei Andreanov, and Sergej Flach, “Flat-band generator in two dimensions,” Physical Review B 103
2021
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2021
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Yoonseok Hwang, Junseo Jung, Jun-Won Rhim, and Bohm-Jung Yang, “Wave-function geometry of band crossing points in two dimensions,” Physical Review B 103
2021
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Hong Yang, Hayate Nakano, and Hosho Katsura, “Symmetry-protected topological phases in spinful bosons with a flat band,” Physical Review Research 3
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Rui-Xing Zhang and Zhi-Cheng Yang, “Tunable fragile topology in floquet systems,” Physical Review B 103
2021
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