On the scaling spectrum of the Anderson impurity model

Details On the scaling spectrum of the Anderson impurity model On the scaling spectrum of the Anderson impurity model

2001-10-02

arxiv.org/abs/cond-mat/0110056v1

Dickens N L and Logan D E 2001 J. Phys.: Condens. Matter 13 4505

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 4 embedded figures

Scientific paper

10.1088/0953-8984/13/20/311

We consider the universal scaling behaviour of the Kondo resonance in the strong coupling limit of the symmetric Anderson impurity model, using a recently developed local moment approach. The resultant scaling spectrum is obtained in closed form, and is dominated by long tails that in contrast to previous work are found to exhibit a slow logarithmic decay rather than power-law form, crossing over to characteristic Fermi liquid behaviour on the lowest energy scales. The resultant theory, while naturally approximate, is found to give very good agreement for essentially all frequencies with numerical renormalization group calculations of both the single-particle scaling spectrum and the self-energy.

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