短程相互作用下单层石墨烯$ν=0$量子霍尔态的Hartree-Fock研究
A Hartree-Fock study of the $ν=0$ quantum Hall state of monolayer graphene with short range interactions
摘要：
最近涉及倾斜石墨烯样品的实验已经显示出在$ν=0$量子霍尔体态中连续相变的证据。我们在这里提出了一个简单的模型，支持这样的过渡。除了长程SU（4）对称库仑相互作用外，我们还考虑了耦合强度可调的Hubbard在位相互作用和最近邻相互作用，并进行了自洽的Hartree-Fock分析。大量的负能量朗道能级被保留，并显示出具有重要的定性和定量影响。在物理相关参数的空间内构建相图，得到与实验观察一致的结果。
英文摘要：
Recent experiments involving tilted graphene samples have shown evidence of a continuous phase transition in the $ν=0$ quantum Hall bulk state. We present here a simple model that supports such a transition. In addition to a long range SU(4) symmetric Coulomb interaction, we include Hubbard on-site and nearest neighbor interactions with tunable coupling strengths, and perform a self-consistent Hartree-Fock analysis. A large sea of negative energy Landau levels is retained, and is shown to have important qualitative and quantitative effects. Phase diagrams are constructed within the space of physically relevant parameters, yielding results consistent with experimental observation.
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