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Solution of the Anderson impurity model via the functional renormalization group

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arxiv 1211.1682 v2 pith:XUYJDACZ submitted 2012-11-07 cond-mat.str-el

Solution of the Anderson impurity model via the functional renormalization group

classification cond-mat.str-el
keywords andersonfunctionalgroupimpurityinteractionmodelobtainrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our approach uses an external magnetic field as flow parameter, partial bosonization of the transverse spin fluctuations, and frequency-independent interaction vertices which are fixed by Ward identities. We calculate the quasi-particle residue and the spin susceptibility in the particle-hole symmetric case and obtain excellent agreement with the Bethe ansatz results for arbitrary strengths of the interaction.

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