R-parity violating two-loop level rainbowlike contribution to the fermion electric dipole moment

We analyze the two-loop level $R$-parity violating supersymmetric contribution to the electric and chromoelectric dipole moments of fermions with a lepton and a gaugino in the intermediate state. It is found that this contribution can be sufficiently enhanced with large $\tan \beta$ and that it can have comparable size with the currently known $R$-parity violating Barr-Zee type process within TeV scale supersymmetry breaking. We also give new upper limits on $R$-parity violating couplings given by the atomic electric dipole moment and molecular beam experiments.