发表机构
Abacus Institute of Engineering and Management; Sutragarh M.N. High School; Saha Institute of Nuclear Physics（阿巴斯工程与管理学院; Sutragarh MN高中; 萨哈核物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究聚焦石墨烯ν=1/2、ν=1/4的EDFQH态，采用SU(4)系统的Chern-Simons复合费米子框架构建变分波函数，通过数值计算确定能量有利的多分量关联量子霍尔态，揭示谷极化与SU(4)对称性对稳定这类态的作用。
AI 中文摘要
我们研究单层石墨烯中分母为偶数的分数量子霍尔（EDFQH）态，重点关注实验观测到的填充因子ν=1/2和ν=1/4。由于自旋和谷自由度产生近似SU(4)对称性，石墨烯拥有丰富多样的具有不同极化构型的多分量分数量子霍尔态。我们采用适用于SU(4)系统的Chern-Simons复合费米子框架，构建对应不同自旋、谷及混合极化态的候选变分波函数。在球形几何中利用库仑相互作用对这些态的基态能量进行数值计算，通过比较不同极化扇区的能量，确定ν=1/2和ν=1/4下能量上有利的构型。我们的变分能量比较表明，能量上有利的候选态对应多分量关联量子霍尔液体，在本文考虑的受限试探态范围内，这些态与简单的复合费米子费海描述存在差异。这些发现为理解谷极化和SU(4)对称性在稳定石墨烯中分母为偶数的分数量子霍尔态方面的作用提供了见解。
英文摘要
We investigate even-denominator fractional quantum Hall (EDFQH) states in monolayer graphene, focusing on the experimentally observed filling fractions $ν= 1/2$ and $ν= 1/4$. Owing to the approximate SU(4) symmetry arising from spin and valley degrees of freedom, graphene hosts a rich variety of multi-component fractional quantum Hall states with different polarization configurations. Using the Chern-Simons composite fermion framework for SU(4) systems, we construct candidate variational wave functions corresponding to distinct spin, valley, and mixed polarization states. The ground-state energies of these states are evaluated numerically using the Coulomb interaction in spherical geometry. By comparing energies across different polarization sectors, we identify the energetically favored configurations at $ν= 1/2$ and $ν= 1/4$. Our variational energy comparison suggests that the energetically favored candidate states correspond to multi-component correlated quantum Hall liquids. Within the restricted family of trial states considered here, these states differ from a simple composite-fermion Fermi-sea description. These findings provide insight into the role of valley polarization and SU(4) symmetry in stabilizing even-denominator fractional quantum Hall states in graphene.
Comments7 pages, 3 figures
