论文标题

Quantum Hall State的稳定性在$ν= 1 $ BiLayer Electron Systems

The Stability of the Quantum Hall State at $ν= 1$ in Bilayer Electron Systems

论文作者

Vasilchenko, A. A.

论文摘要

在存在外部磁场的情况下,在密度函数理论中研究了两个垂直耦合的量子点中电子的基态。为Landau级填充因子$ν= 1 $绘制了向量子厅状态过渡的相位图。已经表明,量子厅状态对于零隧道的分裂可能是稳定的。已经分析了杂质潜力对量子霍尔状态稳定性条件的影响。

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in double quantum dots has been plotted for the Landau level filling factor $ν= 1$. It has been shown that the quantum Hall state can be stable for a zero tunnel splitting. The influence of the impurity potential on the stability condition for the quantum Hall state has been analyzed.

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