The properties of zero-energy states in monolayer graphene in the presence of circular step magnetic field profile in Aharonov–Bohm geometry are investigated via Wirtinger calculus. The clear physical arguments used in presented derivation and its simplicity show the advantage of proposed mathematical approach. The variant proof of Aharonov–Casher theorem is presented.

中文翻译：

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通过 Wirtinger 演算在 Aharonov-Bohm 磁点中的石墨烯中的零能态

通过 Wirtinger 演算研究了在 Aharonov-Bohm 几何中存在圆形阶梯磁场分布的情况下单层石墨烯中零能态的性质。所提出的推导中使用的明确物理参数及其简单性显示了所提出的数学方法的优势。给出了 Aharonov-Casher 定理的变体证明。