  We investigate a modified Anderson model at the large-$N$ limit, where
Coulomb interaction is replaced by Sachdev-Ye-Kitaev random interaction. The
resistivity of conduction electron $\rho_{c}$ has a minimum value around
temperature $\widetilde{T}_{K}$, which is similar to the Kondo system, but the
impurity electron's density of state $A_{d}(\omega)$ elucidates no sharp-peak
like Kondo resonance around the Fermi surface. The impurity electron's entropy
$S_{d}$ and specific heat capacity $C_{\textrm{v}}$ illustrate a crossover from
Fermi liquid to the non-Fermi liquid. The system is a non-Fermi liquid at
temperature $T^{\star}<T<\widetilde{T}_{K}$, a Fermi liquid for $T<T^{\star}$,
and becomes a Fermi gas if $T>\widetilde{T}_{K}$. The non-Fermi liquid at
intermediate-$T$ regime does not occur in standard Anderson model. With
renormalization group analysis, we elucidate a crossover from Fermi liquid to
the non-Fermi liquid, coinciding with transport and thermodynamics. The
resistivity minimum and the Kondo resonance are two characteristics of Kondo
effect. However, the resistivity minimum emerges in our model when the system
behaves as a NFL rather than FL, and the impurity electron's density of state
without the Kondo resonance.
