Abstract We consider an elastic medium with a spiral dislocation, and then, we investigate the topological effects of the spiral dislocation on the confinement of a quantum particle to a two-dimensional quantum ring and a one-dimensional quantum ring. We show that the topology of the spiral dislocation modifies the spectra of energy. In particular, we show that the Costa term is modified in the energy levels. Besides, we analyse if the Aharonov–Bohm effect for bound states can exist in these cases.

中文翻译：

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螺旋位错对量子环的拓扑效应

摘要 我们考虑了一种具有螺旋位错的弹性介质，然后研究了螺旋位错对量子粒子被限制在二维量子环和一维量子环上的拓扑效应。我们表明螺旋位错的拓扑结构改变了能量谱。特别是，我们证明了Costa 项在能级上进行了修改。此外，我们分析了在这些情况下是否可以存在束缚态的 Aharonov-Bohm 效应。