How to tune optical transitions via physical perturbations is an intriguing fundamental question on the optical properties of materials. We theoretically present interesting blue and red shifts for the interband electron energy loss spectrum (EELS) in black phosphorene coupled to a magnetic material with a rotating magnetization. Employing the two-band Hamiltonian model in the presence of the rotating exchange field and the Kubo formalism, we obtain the band gap changes and the corresponding EELS functions at a certain temperature. We show that the EELS amplitude behavior is inversely proportional to the band gap changes induced by the rotating exchange field, while the specific position of the peaks in EELS function takes place at optical energies equal to the modified band gaps. We further show that depending on the polar and azimuth angles of the magnetization vector, regular and irregular blue and red shifts can emerge. Our findings report that manipulating anisotropic interband optical excitations in phosphorene through magnetic perturbations are the key for various optoelectronic applications.

如何通过物理扰动调整光学跃迁是关于材料光学特性的一个有趣的基本问题。我们理论上提出了与具有旋转磁化强度的磁性材料耦合的黑色磷烯中带间电子能量损失谱 (EELS) 的有趣蓝移和红移。在存在旋转交换场和久保形式主义的情况下，利用双能带哈密顿模型，我们获得了一定温度下的带隙变化和相应的 EELS 函数。我们表明 EELS 振幅行为与旋转交换场引起的带隙变化成反比，而 EELS 函数中峰值的特定位置发生在等于修改后的带隙的光能处。我们进一步表明，根据磁化矢量的极角和方位角，可以出现规则和不规则的蓝移和红移。我们的研究结果表明，通过磁扰动操纵磷烯中的各向异性带间光激发是各种光电应用的关键。