We consider a variant of seesaw mechanism by introducing extra singlet
neutrinos, with which we show how the low scale leptogenesis is realized
without imposing the tiny mass splitting between two heavy Majorana neutrinos
required in the resonant leptogenesis. Thus, we can avoid the so-called
gravitino problem when our scenario is supersymmetrized. We show that an
introduction of the new singlet fermion leads to a new contribution which can
enhance the lepton asymmetry for certain range of parameter space. We also
examine how both the light neutrino mass spectrum and relatively light sterile
neutrinos of order a few 100 MeV can be achieved without being in conflict with
the constraints on the mixing between the active and sterile neutrinos.Comment: RevTex 12 pages, 1 figure, title changed, typos corrected, numerical
results improved, to appear in Phys. Lett.