期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 72, 期 8, 页码 2015-2023出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.72.2015
关键词
flat band; electronic structure; hexagonal lattice; ferromagnetism
A constructive method to find flat bands is demonstrated for a model describing tight-binding electrons on the hexagonal lattice in which each atomic site has three orbitals. The system may represent sigma-electrons of an sp(2)-hybridized material but we assume transfer integrals between orbitals to be free parameters for general discussion. Finding highly degenerate eigenfunctions of each flat band is identified as finding a localized eigenfunction, which is determined as a basis function of an irreducible representation of, for example, a point group C-6nu. This approach yields not only flat bands on all over the k-space but also some partial flat bands only on a partial k-space. In the former case, if the flat band locates at the bottom (or the top) of a band structure, it is shown that Mielke's condition holds, allowing occurrence of the flat band ferromagnetism.
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