Hartree-Fock study of the ν =0 quantum Hall state of monolayer graphene with short-range interactions
Hartree-Fock study of the ν =0 quantum Hall state of monolayer graphene with short-range interactions
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Hartree-Fock 研究具有短程相互作用的单层石墨烯 ν =0 量子霍尔态
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
H. Fertig
中科院分区：
文献类型：
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作者：
B. Feshami;H. Fertig
最近涉及倾斜石墨烯样品的实验显示了$ensuremath{中存在连续相变的证据
u}=0$ 量子霍尔体态。我们在这里提出一个支持这种转变的简单模型。除了远程 SU(4) 对称库仑相互作用之外，我们还包括哈伯德现场相互作用和具有可调耦合强度的最近邻相互作用，并执行自洽 Hartree-Fock 分析。大量负能量朗道能级被保留，并被证明具有重要的定性和定量影响。相图是在物理相关参数的空间内构建的，产生与实验观察一致的结果。
Recent experiments involving tilted graphene samples have shown evidence of a continuous phase transition in the $ensuremath{
u}=0$ 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.