Spectral function of the Kondo model in high magnetic fields

A. Rosch, T. A. Costi, J. Paaske, and P. Wölfle
Phys. Rev. B 68, 014430 – Published 29 July 2003
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Abstract

Using a recently developed perturbative renormalization group (RG) scheme, we calculate analytically the spectral function of a Kondo impurity for either large frequencies ω or large magnetic field B and arbitrary frequencies. For large ωmax[B,TK] the spectral function decays as 1/ln2[ω/TK] with prefactors which depend on the magnetization. The spin-resolved spectral function displays a pronounced peak at ωB 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(ω,B)/TK]. Furthermore, we assess the ability of the NRG to resolve structures at finite frequencies.

  • Received 8 January 2003

DOI:https://doi.org/10.1103/PhysRevB.68.014430

©2003 American Physical Society

Authors & Affiliations

A. Rosch, T. A. Costi, J. Paaske, and P. Wölfle

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany

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Vol. 68, Iss. 1 — 1 July 2003

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