Hofstadter butterflies for flat bands
Condensed Matter
2009-10-28 v1
Abstract
Hofstadter's diagram, or the energy spectrum against the magnetic field in tight-binding systems, is obtained for the models having flat (dispersionless) one-electron band(s) that have originally been proposed for itinerant spin ferromagnetism. Magnetic fields preserve those flat bands that arise from a topological reason, while dispersions emerge in a singular manner for the flat bands arising from interference, implying an anomalous orbital magnetism.
Keywords
Cite
@article{arxiv.cond-mat/9607223,
title = {Hofstadter butterflies for flat bands},
author = {Hideo Aoki and Masato Ando and Hajime Matsumura},
journal= {arXiv preprint arXiv:cond-mat/9607223},
year = {2009}
}
Comments
9 pages, revtex, 4 figures available on request from aoki@phys.s.u-tokyo.ac.jp