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Effects of rotation on the Landau levels in an elastic medium with a spiral dislocation
Annals of Physics ( IF 3.0 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.aop.2020.168229
A.V.D.M. Maia , K. Bakke

Abstract We analyse the effects of rotation on the interaction of a point charge (electron or hole) with a uniform magnetic field in an elastic medium with a spiral dislocation. In search of analytical solutions to the Schrodinger equation in a rotating frame with a constant angular velocity, we obtain a spectrum of energy that corresponds to the Landau levels in the presence of a spiral dislocation in a uniformly rotating frame. We show that both the topology of the defect and rotation modify the degeneracy of the Landau levels. Besides, we discuss how the effects of the topology of the defect on the Landau levels give rise to an analogue of the Aharonov–Bohm effect for bound states.

中文翻译:

旋转对具有螺旋位错的弹性介质中朗道能级的影响

摘要 我们分析了旋转对点电荷(电子或空穴)与具有螺旋位错的弹性介质中的均匀磁场相互作用的影响。为了在具有恒定角速度的旋转坐标系中寻找薛定谔方程的解析解,我们获得了对应于在均匀旋转坐标系中存在螺旋位错时的朗道能级的能量谱。我们表明,缺陷的拓扑结构和旋转都会修改 Landau 能级的简并性。此外,我们讨论了缺陷拓扑对朗道能级的影响如何产生束缚态的 Aharonov-Bohm 效应的类似物。
更新日期:2020-08-01
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