论文标题
$ n = 1 $ landau石墨烯的断裂对称量子厅的理论
Theory of broken symmetry quantum Hall states in the $N=1$ Landau level of Graphene
论文作者
论文摘要
我们通过构建一个解释晶格尺度校正的模型来研究石墨烯中$ n = 1 $ landau水平的部分整数填充物的多体基础状态。有趣的是，与$ n = 0 $ landau级别相比，该模型不仅包含纯delta功能相互作用，还包含其一些衍生物。因此，我们发现与$ n = 0 $ landau级别有关的几个重要区别。例如，在季度填充时，只有一个组件填充时，量子大厅的铁磁体和基态悬而未决的旋转和山谷自由度就会变得有利。此外，在$ n = 1 $ landau级别的半填充时，我们发现了一个新阶段，在$ n = 0 $ landau级别中没有，该阶段结合了kekulé州立大学的特征和一个反铁磁铁。我们还发现，根据最近的实验中提取的参数，预计$ n = 1 $ landau级石墨烯的半填充时会处于AF和CDW状态之间的微妙竞争，但是我们还讨论了为什么这些最近实验的模型可能会缺少一些重要术语。
We study many-body ground states for the partial integer fillings of the $N=1$ Landau level in graphene, by constructing a model that accounts for the lattice scale corrections to the Coulomb interactions. Interestingly, in contrast to the $N=0$ Landau level, this model contains not only pure delta function interactions but also some of its derivatives. Due to this we find several important differences with respect to the $N=0$ Landau level. For example at quarter filling when only a single component is filled, there is a degeneracy lifting of the quantum hall ferromagnets and ground states with entangled spin and valley degrees of freedom can become favourable. Moreover at half-filling of the $N=1$ Landau level, we have found a new phase that is absent in the $N=0$ Landau level, that combines characteristics of the Kekulé state and an antiferromagnet. We also find that according to the parameters extracted in a recent experiment, at half-filling of the $N=1$ Landau level graphene is expected to be in a delicate competition between an AF and a CDW state, but we also discuss why the models for these recent experiments might be missing some important terms.
