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

Abstract

In a recent work Zhang and coworkers (PRB 82, 075111 (2010)) studied the Zeeman splitting of the Kondo resonance for the single impurity Anderson model in a finite magnetic field $B$ with the numerical renormalization group (NRG) method. There, it was found that with increasing magnetic field $B$ the position of the Kondo resonance in the total spectral function \textit{does not} 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 ($g=2$, ${\mu }_B=k_B=\hslash =1$). In this comment we argue that both these findings are produced by an improper choice of NRG parameter values. However, we reproduce the crossover in the splitting from Kondo-like behavior to a non-universal splitting larger than the Zeeman energy, but this crossover occurs at much larger fields of the order of the charge scale.

Minor revisions; same version as published

References in corpus (5)

• The numerical renormalization group method for quantum impurity systems
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Optimal broadening of finite energy spectra in the numerical renormalization group: application to dissipative dynamics in two-level systems
• The scaling feature of the magnetic field induced Kondo-peak splittings