Fermion localization on asymmetric two-field thick branes

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 ηΨ-barF(χ,φ)Ψ are introduced, where F(χ, φ) is a function of φ and χ. We find that the coupling ηΨ-barχφΨ does not support the localization of four-dimensional fermions on the branes. While, for the case ηΨ-barχΨ +η'Ψ-barφΨ , 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.