Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 74, Issue 7, Pages 1918-1921Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.74.1918
Keywords
flat-band; partial line graph; tight-binding model; ferromagnetism
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We introduce a systematic method for constructing a class of lattice structures that we call partial line graphs. In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge. This method can be applied to two- and three-dimensional systems. We show examples of partial line graphs of square and cubic lattices. The method is useful in providing a guideline for synthesizing materials with flat energy bands, since the tight-binding models on the partial line graphs provide us a large room for modification, maintaining the flat energy dispersions.
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