General construction of flat bands with and without band crossings based on wave function singularity
Yoonseok Hwang,
Jun-Won Rhim,
Bohm-Jung Yang
Abstract:In this work, we develop a systematic method of constructing flat-band models with and without band crossings. Our construction scheme utilizes the symmetry and spatial shape of a compact localized state (CLS), and also the singularity of the flat-band wave function obtained by a Fourier transform of the CLS (FT-CLS). In order to construct a flat-band model systematically using these ingredients, we first choose a CLS with a specific symmetry representation in a given lattice. Then, the singularity of FT-CLS i… Show more
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