  We have shown a new scenario of successful leptogenesis with one $L$
violating coupling and a relative Majorana phase playing the role of $CP$
violation. This is in contrast to the usual consideration of Feynman diagram
with at least two $L$ violating couplings. We have considered $R$-parity
violating Minimal Supersymmetric Standard Model (MSSM) for leptogenesis at TeV
scale. This scenario is also consistent with generating light neutrino mass if
asymmetry is generated through semileptonic $\lambda^{\prime}$ coupling.
