论文标题
$ν= 1/3 $边缘状态的密度矩阵重新归一化小组在分数量子厅系统中
Density matrix renormalization group study of the $ν=1/3$ edge states in fractional quantum Hall systems
论文作者
论文摘要
填充因子$ν= 1/3 $的分数量子霍尔系统中的边缘状态通过密度矩阵重量化组方法研究。结果表明，边缘处的局部边界条件引起的密度振荡的特征是最小磁极激发的波数，并且该结构部分重建，随着限制电势形状的变化。尤其是，$ν= 1 $逆转边缘通道随着化学电位的变化而出现，这与最近的热传输实验一致。大体状态对电子数量变化的稳定性证实，分数量子霍尔状态的块状部分是不可压缩的，而边缘状态则是可压缩的。
The edge states in the fractional quantum Hall systems at filling factor $ν=1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge is characterized by the wave number of the minimum magnetoroton excitation, and this structure is partially reconstructed with the change in the confinement potential shape. In particular, the $ν=1$ counterpropagating edge channel appears with the change in the chemical potential, which is consistent with recent experiments on heat transport. The stability of the bulk states against the change in the number of electrons confirms that the bulk part of the fractional quantum Hall state is incompressible, while the edge state is compressible.
