In this talk, we consider the Dirac equations of scattering-critical Hartree-type nonlinearity in 2,3 dimensions. We prove the global well-posedness and modified scattering for small solutions in the weighted Sobolev class. We perform the weighted energy estimates. In this procedure, we have to deal with various resonance functions that stem from the Dirac projections. We use the spacetime resonance argument of Germain-Masmoudi-Shatah, as well as the spinorial null structure. On the way, we recognize a long-range interaction that is responsible for a logarithmic phase correction in the modified scattering statement. This talk is based on joint work with Yonggeun Cho, Soonsik Kwon, and Kiyeon Lee.