Hofstadter butterfly of a quasicrystal
Mesoscale and Nanoscale Physics
2016-11-30 v2 Other Condensed Matter
Abstract
The energy spectrum of a tight-binding Hamiltonian is studied for the two-dimensional quasiperiodic Rauzy tiling in a perpendicular magnetic field. This spectrum known as a Hofstadter butterfly displays a very rich pattern of bulk gaps that are labeled by four integers, instead of two for periodic systems. The role of phason-flip disorder is also investigated in order to extract genuinely quasiperiodic properties. This geometric disorder is found to only preserve main quantum Hall gaps.
Keywords
Cite
@article{arxiv.1609.07729,
title = {Hofstadter butterfly of a quasicrystal},
author = {J. -N Fuchs and J. Vidal},
journal= {arXiv preprint arXiv:1609.07729},
year = {2016}
}
Comments
9 pages, 5 figures, published version