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Magnetic-field induced inequivalent vortex zero modes in strained graphene

机译：应变石墨烯中的磁场感应不等价涡旋零模

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摘要

Zero energy states in the Dirac spectrum with U(l) symmetric massive vortices of various underlying insulating orders in strained graphene are constructed in the presence of the magnetic field. An easy-plane vortex of antiferromagnet and quantum spin Hall orders host two zero energy states, however, with two different length scales. Such inequivalent zero modes can lead to oscillatory charge and magnetization, and their usual quantizations get restored only far from the vortex core. Otherwise, these zero modes can be delocalized from each other by tuning the mutual strength of two fields. One can, therefore, effectively bind a single zero mode in the vortex core. A possible experimental setup to capture signature of this theory in real graphene as well as in optical honeycomb lattices is mentioned. Generalization of this scenario with underlying topological defects of Kekule superconductors can localize a single Majorana mode in the vicinity of the defect core.
机译：在存在磁场的情况下，构造了狄拉克谱中的零能态，在应变石墨烯中具有各种潜在的绝缘阶的U（l）对称大质量涡旋。然而，反铁磁体和量子自旋霍尔阶的易平面涡旋具有两个零能态，但具有两个不同的长度尺度。这种不等式的零模可导致振荡电荷和磁化，并且它们通常的量化仅在远离涡旋磁芯的地方得到恢复。否则，可以通过调整两个场的相互强度来使这些零模彼此分离。因此，一个人可以有效地在漩涡核心中绑定一个零模式。提到了可能的实验装置，以捕获该理论在真实石墨烯以及光学蜂窝晶格中的特征。具有Kekule超导体的基础拓扑缺陷的这种情况的一般化可以将单个Majorana模式定位在缺陷核心附近。

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