Numerical Evidence on spin-Coulomb drag and spin mass in the uniform electron gas

Coulomb interaction between spin up and down electrons causes an intrinsic source of friction for spin currents in an electron liquid. This phenomenon, known as the spin-Coulomb-drag (SCD) effect, has not yet been experimentally confirmed in the three dimensions. We investigate this problem in the context of a three-dimensional uniform electron gas with the recently developed variational diagrammatic Monte Carlo method. We calculate the momentum and frequency resolved spin-antisymmetric exchange-correlation kernel with a high precision. We find strong numerical evidence of the SCD effect and establish the relevant fundamental parameters (such as the effective spin mass). Our numerical results could motivate new SCD experiments in the three-dimensional quantum materials.