Flat-Bands on Partial Line Graphs -- Systematic Method for Generating Flat-Band Lattice Structures
Strongly Correlated Electrons
2009-11-11 v2 Statistical Mechanics
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.
Cite
@article{arxiv.cond-mat/0505751,
title = {Flat-Bands on Partial Line Graphs -- Systematic Method for Generating Flat-Band Lattice Structures},
author = {Shin Miyahara and Kenn Kubo and Hiroshi Ono and Yoshihiro Shimomura and Nobuo Furukawa},
journal= {arXiv preprint arXiv:cond-mat/0505751},
year = {2009}
}
Comments
9 pages, 4 figures