Single Dirac-Cone State and Quantum Hall Effects in Honeycomb Structure
Abstract
A honeycomb lattice system has four types of Dirac electrons corresponding to the spin and valley degrees of freedom. We consider a state that contains only one type of massless electrons and three types of massive ones, which we call the single Dirac-cone state. We analyze quantum Hall (QH) effects in this state. We make a detailed investigation of the Chern and spin-Chern numbers. We make clear the origin of unconventional QH effects discovered in graphene. We also show that the single Dirac-cone state may have arbitrary large spin-Chern numbers in magnetic field. Such a state will be generated in antiferromagnetic transition-metal oxides under electric field or silicene with antiferromagnetic order under electric field.
Cite
@article{arxiv.1302.2284,
title = {Single Dirac-Cone State and Quantum Hall Effects in Honeycomb Structure},
author = {Motohiko Ezawa},
journal= {arXiv preprint arXiv:1302.2284},
year = {2014}
}
Comments
5 pages, 5 figures