In this paper, the exchange field effects are theoretically investigated to generate the mass in ferromagnetic/topological crystalline insulator SnTe heterostructure. The Dirac theory of exchange field-induced system predicts the anisotropic gaps in both low- and high-energy regimes. At small momenta, the group velocity is anisotropic, coinciding with orientation-dependent Fermi velocities, however; it increases (decreases) when the magnetization vector is parallel (antiparallel) to the host spin direction. Further, we found that the effective mass is anisotropic as well and y-direction is responsible for the heavy-mass band around Dirac points. Moreover, the proximity coupling leads to the switching of the effective mass sign at small momenta due to the band gap opening and concavity changing of bands. Additionally, a decreasing behavior for effective mass with exchange field strength is seen independently of the direction.

在本文中，从理论上研究了交换场效应，以在铁磁/拓扑晶体绝缘体SnTe异质结构中产生质量。交换场诱导系统的狄拉克理论预测了低能和高能状态下的各向异性缺口。在较小的动量下，群速度是各向异性的，但是与方向相关的费米速度一致。当磁化矢量与主体自旋方向平行（反平行）时，它会增加（减小）。此外，我们发现有效质量也是各向异性的，y-direction负责Dirac点周围的重质量带。此外，由于带隙的打开和带的凹度变化，接近耦合导致有效质量符号的切换在很小的时刻发生。此外，可以看到有效质量随交换场强度的减小行为，而与方向无关。