Spin-resoloved chiral condensate as a spin-unpolarized \nu=0 quantum Hall state in graphene
Abstract
Motivated by the recent experiments indicating a spin-unpolarized \nu=0 quantum Hall state in graphene, we theoretically investigate the ground state based on the many-body problem projected onto the n=0 Landau level. For an effective model with the on-site Coulomb repulsion and antiferromagnetic exchange couplings, we show that the ground state is a doubly-degenerate spin-resolved chiral condensate in which all the zero-energy states with up spin are condensed into one chirality, while those with down spin to the other. This can be exactly shown for an Ising-type exchange interaction. The charge gap due to the on-site repulsion in the ground state is shown to grow linearly with the magnetic field, in qualitative agreement with the experiments.
Keywords
Cite
@article{arxiv.1305.7314,
title = {Spin-resoloved chiral condensate as a spin-unpolarized \nu=0 quantum Hall state in graphene},
author = {Yuji Hamamoto and Tohru Kawarabayashi and Hideo Aoki and Yasuhiro Hatsugai},
journal= {arXiv preprint arXiv:1305.7314},
year = {2015}
}
Comments
6 pages, 4 figures. Phys. Rev. B, to be published