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We study the Goos-Hänchen-like shift of single silicene barrier under the external perpendicular electric field, offresonant circularly polarized light and the exchange field modulation using the stationary-phase method. The results show that the Goos-Hänchen-like shift of silicene resulting from the external perpendicular electric field does not have the characteristics of spin or valley polarization, while that from off-resonant circularly polarized light or the exchange field is spin-polarized. More importantly, the combined effect of the external perpendicular electric field and the exchange field or off-resonant circularly polarized light can cause the Goos-Hänchen-like shift of the system to be spin and valley polarized. It is particularly worth noting that when the three modulations are considered at the same time, as the exchange field changes, the system will have a positive or negative Goos-Hänchen-like shift.

We investigated the band structure and Goos-Hänchen-Like shift in ferromagnetic mass graphene junction modulated by the circularly polarized light. It is found that both spin and valley-related energy gaps can be opened by employing the circularly polarized light and exchange fields in mass graphene. The valley-polarized Goos-Hänchen-Like shift can be identified in the presence of the circularly polarized light, and the spin-polarized Goos-Hänchen-Like shift can be realized with the introduction of an exchange field in mass graphene. Furthermore, the spin and valley polarization-related Goos-Hänchen-Like shift can be achieved with the combination of the circularly polarized light and exchange field in mass graphene. We hope that our work will be more conducive for future applications in graphene polarization transport devices.

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