Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations
Abstract
Two-dimensional Bloch electrons in a uniform magnetic field exhibit complex energy spectrum. When static electric and magnetic modulations with a checkerboard pattern are superimposed on the uniform magnetic field, more structures and symmetries of the spectra are found, due to the additional adjustable parameters from the modulations. We give a comprehensive report on these new symmetries. We have also found an electric-modulation induced energy gap, whose magnitude is independent of the strength of either the uniform or the modulated magnetic field. This study is applicable to experimentally accessible systems and is related to the investigations on frustrated antiferromagnetism.
Keywords
Cite
@article{arxiv.cond-mat/0308338,
title = {Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations},
author = {Ming-Che Chang and Min-Fong Yang},
journal= {arXiv preprint arXiv:cond-mat/0308338},
year = {2007}
}
Comments
8 pages, 6 figures (reduced in sizes), submitted to Phys. Rev. B