论文标题
倾斜磁场下量子厅状态的集体激发
Collective excitations of quantum Hall states under tilted magnetic field
论文作者
论文摘要
我们研究了有限宽度的电子系统中分数量子霍尔状态的中性激发，其中通过倾斜磁场引入外部各向异性。与各向同性的情况一样，可以通过在汉密尔顿理论中的复合费米子的保护方法来制定中性集体激发，因为由于量子井宽度，相互作用势具有自然截止。我们展示了如何对各向异性相互作用进行扰动地进行此类计算。我们发现，与电荷差距不同，中性集体间隙对倾斜度更为敏感，因此，对于某些分数量子厅状态，可以轻松地被磁场的平行成分破坏。我们还讨论了集体频谱与大摩托姆限制中激活差距的收敛性。
We study the neutral excitations of fractional quantum Hall states in electronic systems of finite width where an external anisotropy is introduced by tilting the magnetic field. As in the isotropic case, the neutral collective excitation can be worked out through the conserving method of composite fermions in the Hamiltonian theory because the interaction potential has a natural cutoff due to the quantum well width. We show how such a computation can be carried out perturbatively for an anisotropic interaction. We find that unlike the charge gap, the neutral collective gap is much more sensitive to the tilt and can thus, for certain fractional quantum Hall states, be easily destroyed by the parallel component of the magnetic field. We also discuss the convergence of the collective spectrum to the activation gap in the large-momentum limit.
