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Bound states of charges on top of graphene in a magnetic field

机译：磁场中石墨烯顶部电荷的束缚态

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We show theoretically that in an external magnetic field, like charges on top of graphene monolayer may be mutually attracted to form macromolecules. For this to happen, graphene needs to be in a quantum Hall plateau state with the local chemical potential being between the Landau levels. One or several graphene electron(s) get localized in the middle between charges and provide overscreening of the Coulomb repulsion between the charges. The size of the resulting macromolecules is of the order of the magnetic length (～10 nm for magnetic field 10 T). The possible stable macromolecules that unit charges can form on graphene in a magnetic field are classified. The binding survives significant temperatures, exceeding the mobility barriers for many ionically bond impurities. The influence of possible lattice-scale effects of valley mixing are discussed. Tuning the doping of graphene or the magnetic field, the binding of impurities can be turned on and off and the macromolecule size may be tuned. This opens the perspective to nanoscopic manipulation of ions on graphene by using magnetic field and gating.
机译：我们从理论上证明，在外部磁场中，石墨烯单层顶部的电荷可能相互吸引形成大分子。为此，石墨烯必须处于量子霍尔高原状态，且局部化学势介于朗道能级之间。一个或多个石墨烯电子位于电荷之间的中间，并提供了电荷间库仑斥力的过筛。所得大分子的大小约为磁长度（对于10 T的磁场约为10 nm）。对可能在磁场中在石墨烯上形成单位电荷的可能稳定的大分子进行了分类。结合能够在相当高的温度下生存，超过了许多离子键结合杂质的迁移率壁垒。讨论了谷峰混合可能的晶格尺度效应的影响。调节石墨烯的掺杂或磁场，可以打开和关闭杂质的结合，并且可以调节大分子的大小。这为通过使用磁场和门控对石墨烯上的离子进行纳米级操作开辟了前景。

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