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 $η\barΨF(χ,ϕ)Ψ$ are introduced, where $F(χ,ϕ)$ is a function of $ϕ$ and $χ$. We find that the coupling $η\barΨχϕΨ$ do not support the localization of 4-dimensional fermions on the branes. While, for the case $η\barΨχΨ+η'\barΨϕΨ$, 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.

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