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Carbon-based bilayer van der Waals (vdW) materials are attracting muchattention due to their predicted interesting physical properties. Here, wetheoretically investigate electronic and optical properties of C$_3$B/C$_3$NvdW heterostructure (HTS) under external magnetic field and mechanical strain.The tight-binding model of the system is constructed to include thestrain-induced modification of the hopping interactions. The influence of auniform perpendicular magnetic field is included by using the Peierlssubstitution method. We observe the intriguing electronic and opticalcharacteristics of the HTS under mechanical strain, covering the bandinversion, alteration of band gap and optical gap, distortion of band-edgestates, as well as significant enhancement of optical absorption. Furthermore,the interplay between external magnetic field and biaxial strain leads toexotic features of quantization and optical spectra. This work providesimportant information for the comprehension of the engineering of materials byexternal effects. Our study suggests that C$_3$B/C$_3$N vdW HTS is a promisingcandidate for next-generation electronic and optoelectronic devices.

Strain Engineering of Magneto-optical Properties in C$_3$B/C$_3$N van der Waals Heterostructure