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General construction of flat bands with and without band crossings based on wave function singularity

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Title
General construction of flat bands with and without band crossings based on wave function singularity
Author(s)
Yoonseok Hwang; Jun-Won Rhim; Bohm-Jung Yang
Publication Date
2021-08
Journal
PHYSICAL REVIEW B, v.104, no.8
Publisher
AMER PHYSICAL SOC
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 indicates whether the resulting flat band exhibits a band crossing point or not. A tight-binding Hamiltonian with the flat band corresponding to the FT-CLS is obtained by introducing a set of basis molecular orbitals, which are orthogonal to the FT-CLS. Our construction scheme can be systematically applied to any lattice so that it provides a powerful theoretical framework to study exotic properties of both gapped and gapless flat bands arising from their wave function singularities.
URI
https://pr.ibs.re.kr/handle/8788114/10277
DOI
10.1103/PhysRevB.104.085144
ISSN
2469-9950
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > 1. Journal Papers (저널논문)
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