In this paper we investigate the localization of fermions on asymmetric thick
branes generated by two scalars ϕ and χ. In order to trap fermions on
the asymmetric branes with kink-like warp factors, the couplings with the
background scalars ηΨˉF(χ,ϕ)Ψ are introduced, where
F(χ,ϕ) is a function of ϕ and χ. We find that the coupling
ηΨˉχϕΨ do not support the localization of 4-dimensional
fermions on the branes. While, for the case
ηΨˉχΨ+η′ΨˉϕΨ, which is the kink-fermion
coupling corresponding to one-scalar-generated brane scenarios, the zero mode
of left-handed fermions could be trapped on the branes under some conditions.Comment: v2: 11 pages, 4 figures, accepted by CQ