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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Aharonov-Bohm effect with many vortices
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Aharonov-Bohm effect with many vortices

机译：具有许多涡旋的Aharonov-Bohm效应

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摘要

The Aharonov-Bohm (A-B) effect is the prime example of a zero-field-strength configuration where a nontrivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B problem, by studying a two-dimensional medium filled with many point-like vortices. Systems like this might be present within a type II superconducting layer in the presence of a strong magnetic field perpendicular to the layer, and have been studied in different limits. We construct an explicit solution for the wave function of a scalar particle moving within one such layer when the vortices occupy the sites of a square lattice and have all the same strength, equal to half of the flux quantum. From this construction, we infer some general characteristics of the spectrum, including the conclusion that such a flux array produces a repulsive barrier to an incident low-energy charged particle, so that the penetration probability decays exponentially with distance from the edge.
机译：Aharonov-Bohm（A-B）效应是零场强度配置的主要示例，其中非平凡的矢量电势具有物理意义，这是典型的量子力学效应。通过研究充满许多点状涡旋的二维介质，我们考虑了传统A-B问题的扩展。在垂直于该层的强磁场存在下，此类系统可能会出现在II型超导层中，并且已经在不同的范围内进行了研究。当涡旋占据方格的位置并具有相同的强度（等于通量量子的一半）时，我们为标量粒子在一个这样的层中移动的波函数构造了一个显式解决方案。通过这种构造，我们可以推断出光谱的一些一般特征，包括以下结论：这样的通量阵列会对入射的低能带电粒子产生排斥势垒，从而使穿透概率随距边缘的距离呈指数衰减。

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