磷烯低能有效哈密顿的Berry相位计算研究

The Research on the Berry Phase of an Effective Hamiltonian at Low Energy of Phosphorene

基于紧束缚近似方法计算磷烯低能有效哈密顿的Berry相位,并与石墨烯的Berry相位进行了对比.研究了外加磁场对磷烯Berry相位的影响,发现可以通过外加磁场调节磷烯的Berry相位,将其数值调节到π的整数倍,因此磷烯也可以通过外加磁场实现整数量子霍尔效应.

The Berry phase of an effective Hamihonian at low energy case of monolayer phosphorene was calculated,and compared with the Berry phase of graphene. It was found that external magnetic field could influence the Berry phase of the monolayer phosphorene. The Berry phase of the monolayer phos- phorene could be adjusted to integral multiple of ＂rr by external magnetic field. Therefore, it was possible to realize quantum Hall effect in monolayer phosphorene by external magnetic field.