Effective models for the single impurity Anderson and Kondo model from continuous unitary transformations
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Date
2014
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Abstract
The method of continuous unitary transformations (CUTs) is applied to the Anderson
impurity and the Kondo model aiming at the systematic derivation of convergent e ective
models. If CUTs are applied in a conventional way, diverging di erential equations
occur. Similar to poor mans scaling the energy scale, below which the couplings diverge,
corresponds to the Kondo temperature TK. We present a way to apply CUTs to the
Kondo and to the Anderson impurity model so that no divergences occur but a converged
e ective low-energy model is derived with small nite parameters at arbitrarily small energies.
The ground state corresponds to a bound singlet with a binding energy given by
the Kondo temperature TK.
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Keywords
Continuous unitary transformations, CUT, Flow equation, Kondo effect, Kondo model, Anderson impurity model, Effective models
Subjects based on RSWK
Supraleitung, Kondo-Effekt