Transition temperature of a two-component Bose-Einstein condensates in improved Hartree-Fock approximation

In this study, we investigate the transition temperature of a two-component Bose-Einstein condensates by means of Cornwall-Jackiw-Tomboulis effective action formalism within the framework of the improved Hartree-Fock approximation. Influence of intra- and interspecies interactions as well as of the thermal fluctuations to the transition temperature are considered up to leading order of the gas parameters and scattering lengths.