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 phi and chi. In order to trap fermions on the asymmetric branes with kink-like warp factors, the couplings with the background scalars eta(Psi) over barF(chi, phi)Psi are introduced, where F(chi, phi) is a function of phi and chi. We find that the coupling eta(Psi) over bar chi phi Psi does not support the localization of four- dimensional fermions on the branes. While, for the case eta(Psi) over bar chi Psi + eta'(Psi) over bar phi Psi, 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.