Mercury Cadmium Telluride (Hg1-xCdxTe) or HCT has opened up versatile opportunities for photodetector designing within the whole range of Infrared (IR) wavelength due to its bandgap tunability. We are looking into the material physics using Density Functional Theory (DFT) and engineering the bandgap for designing a Mid-Infrared Photodetector. We are also working with Bilayer graphene to model a high-efficiency Photodetector based on HCT at room temperature. Our goal is to establish a complete carrier transport model for a Mid-Infrared HCT photodetector.