Equilibrium current distributions and W_∞ gauge theory in quantum Hall systems of conventional electrons and Dirac electrons
Equilibrium current distributions and W_∞ gauge theory in quantum Hall systems of conventional electrons and Dirac electrons
复制标题
常规电子和狄拉克电子量子霍尔系统中的平衡电流分布和W_∞规范理论
DOI：
10.1103/physrevb.107.165410
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发表时间：
2023
影响因子：
3.7
通讯作者：
Shizuya K.
中科院分区：
文献类型：
--
作者：
Ito Ryosuke;He Xi;Ohshimo Keijiro;Misaizu Fuminori;Shizuya K.
在平衡平面系统的霍尔电子，如GaAs异质结构和石墨烯，支持两种类型的电流沿沿着系统边缘逆流，最近在实验中观察到使用纳米级磁力计。我们研究了这些平衡电流的不同起源和独特特征，并考虑了库仑多体效应，并推导出它们的真实空间分布。我们的基本分析工具是一个重新制定的量子霍尔系统的计量理论，它允许一个对角化的总哈密顿量根据外部探头的分辨率。这些平衡电流与量子霍尔系统中的轨道磁化密切相关。特别注意的是石墨烯的情况下，特别是neutralground状态和其固有的抗磁响应，结合平衡电流来管理轨道磁化和填充振荡。
In equilibrium planer systems of Hall electrons, such as GaAs heterostructures and graphene, support two species of current counterflowing along the system edges, as observed recently in experiment using a nanoscale magnetometer. We examine distinct origins and distinctive features of these equilibrium currents, with the Coulombic many-body effects taken into account, and derive their real-space distributions. Our basic tool of analysis is a reformulation of quantum Hall systems as agauge theory, which allows one to diagonalize the total Hamiltonian according to the resolutions of external probes. These equilibrium currents are deeply tied to the orbital magnetization in quantum Hall systems. Special attention is drawn to the case of graphene, especially the neutralground state and its intrinsic diamagnetic response that combines with the equilibrium currents to govern the orbital magnetization and its oscillations with filling.