Spectral function of the Kondo model in high magnetic fields

Details Spectral function of the Kondo model in high magnetic fields Spectral function of the Kondo model in high magnetic fields

2003-01-08

arxiv.org/abs/cond-mat/0301106v3

Phys. Rev. B 68, 014430 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, version published in PRB, minor changes

Scientific paper

10.1103/PhysRevB.68.014430

Using a recently developed perturbative renormalization group (RG) scheme, we calculate analytically the spectral function of a Kondo impurity for either large frequencies w or large magnetic field B and arbitrary frequencies. For large w >> max[B,T_K] the spectral function decays as 1/ln^2[ w/T_K ] with prefactors which depend on the magnetization. The spin-resolved spectral function displays a pronounced peak at w=B with a characteristic asymmetry. In a detailed comparison with results from numerical renormalization group (NRG) and bare perturbation theory in next-to-leading logarithmic order, we show that our perturbative RG scheme is controlled by the small parameter 1/ln[ max(w,B)/T_K]. Furthermore, we assess the ability of the NRG to resolve structures at finite frequencies.

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