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In a recent work Zhang and coworkers (PRB 82, 075111 (2010)) studied theZeeman splitting of the Kondo resonance for the single impurity Anderson modelin a finite magnetic field $B$ with the numerical renormalization group (NRG)method. There, it was found that with increasing magnetic field $B$ theposition of the Kondo resonance in the total spectral function \textit{doesnot} approach its position in the spin resolved spectral function.Additionally, the position of the Kondo maximum exceeded the Zeeman energy for$B/ T_K\gtrsim 5-10$, where $T_K$ is the low energy Kondo scale of the model($g=2$, $\mu_B=k_B=\hbar=1$). In this comment we argue that both these findingsare produced by an improper choice of NRG parameter values. However, wereproduce the crossover in the splitting from Kondo-like behavior to anon-universal splitting larger than the Zeeman energy, but this crossoveroccurs at much larger fields of the order of the charge scale.

Comment on "Scaling feature of magnetic field induced Kondo-peak splittings"