A novel theoretical model for the temperature-dependent dielectric constant of solid materials

The dielectric constant, known as a fundamental physical parameter that describes solid material's response to an electric field, is sensitive to temperature. Therefore, it is very important to reasonably characterize the dielectric constant of the material at different temperatures. In this work, by considering the concept of the energy storage limit associating with electrons transitions and the relationship between the dielectric constant and band gap energy, a novel and simple theoretical model for determining the temperature-dependent dielectric constant of solid materials is developed. In comparison to the traditional semi-empirical and fitting models, this model does not contain any fitting parameters, and which just has the basic material parameters including the heat capacity, Debye temperature and linear expansion coefficient. The theoretical model is verified by the good agreement between the model predictions and the experimental measurements of CdTe, ZnSe, InP, GaP, GaN, Diamond, Al₂O₃, AlN and SiC. This work provides a convenient and effective method for predicting the dielectric constant of solid materials at different temperatures.