Hofstadter problem in higher dimensions
Mesoscale and Nanoscale Physics
2014-10-27 v2 High Energy Physics - Lattice
Abstract
We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. It is also pointed out the equivalence betwee the \pi-flux state and the staggered formalism of Dirac fermion.
Cite
@article{arxiv.1210.6355,
title = {Hofstadter problem in higher dimensions},
author = {Taro Kimura},
journal= {arXiv preprint arXiv:1210.6355},
year = {2014}
}
Comments
1+15 pages, 2 figures; minor corrections, references added