In this paper, we study the Imbert-Fedorov shifts of anisotropic two-dimensional atomic crystal. This beam shift is an out-plane shift which can manifests as spin-dependent splitting. The Imbert-Fedorov shift related to the crystal axis direction, conductance, and doping concentration of two-dimensional atomic crystal is discussed. In particular, our study found that the shifts at the black phosphorus interface are sensitive to the change of its optical axis angle, doping concentration and frequency. We believe the precise measurement of the sensitive parameters through quantum weak measurement technology would provide important theoretical guidance for the electromagnetic characterization of two- dimensional atomic crystals.
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