论文标题
由于旋转效应和边缘状态，在二维环中修改Landau水平
Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
论文作者
论文摘要
我们研究了在旋转和外部磁场效应下二维量子环的性能。我们最初分析了兰道水平和对它们的惯性影响。在获得的结果中，我们强调旋转提高了Landau水平的退化。当电子限制在二维环中，该环由硬壁电势建模时，只要本征态特征状态不太接近环的边缘，兰道状态就会被兰道状态描述。另一方面，在环边缘附近，能量单调增加。这些状态称为边缘状态。边缘状态对环的物理特性有重要影响。因此，我们分析了费米能量和磁化。在磁化的具体情况下，我们考虑两种方法。首先，我们获得了磁化的分析结果，但没有考虑旋转。数值结果表明De Haas-Van Alphen（DHVA）振荡。在第二个中，我们考虑旋转效果。除了DHVA振荡外，我们还验证了与边缘状态的存在相关的Aharonov-bohm型（AB）振荡。我们讨论旋转对结果的影响，发现旋转负责诱导Aharonov-Bohm型振荡。
We investigate the properties of a two-dimensional quantum ring under rotating and external magnetic field effects. We initially analyse the Landau levels and inertial effects on them. Among the results obtained, we emphasize that the rotation lifted the degeneracy of Landau levels. When electrons are confined in a two-dimensional ring, which is modeled by a hard wall potential, the eigenstates are described by Landau states as long as the eigenstates are not too close to the edges of the ring. On the other hand, near the edges of the ring, the energies increase monotonically. These states are known as edge states. Edge states have an important effect on the physical properties of the ring. Thus, we analyze the Fermi energy and magnetization. In the specific case of magnetization, we consider two approaches. In the first, we obtain an analytical result for magnetization but without considering rotation. Numerical results showed the de Haas-Van Alphen (dHvA) oscillations. In the second, we consider rotating effects. In addition to the dHvA oscillations, we also verify the Aharonov-Bohm-type (AB) oscillations, which are associated with the presence of edge states. We discuss the effects of rotation on the results and find that rotation is responsible for inducing Aharonov-Bohm-type oscillations.
