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Flat-Bands on Partial Line Graphs -- Systematic Method for Generating Flat-Band Lattice Structures

Shin Miyahara·Kenn Kubo·Hiroshi Ono·Yoshihiro Shimomura·Nobuo Furukawa
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Abstract

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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Shin Miyahara, Kenn Kubo, Hiroshi Ono, Yoshihiro Shimomura, Nobuo Furukawa. 2005-07-23. Flat-Bands on Partial Line Graphs -- Systematic Method for Generating Flat-Band Lattice Structures. https://doi.org/10.1143/jpsj.74.1918

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