NDLI: A Functional Generalization of the Field-Theoretical Renormalization Group Approach for the Single-Impurity Anderson Model

Content Provider	Springer Nature Link
Author	Freire, Hermann Corrêa, Eberth
Copyright Year	2011
Abstract	We apply a functional implementation of the field-theoretical renormalization group (RG) method up to two loops to the single-impurity Anderson model. To achieve this, we follow a RG strategy similar to that proposed by Vojta et al. (in Phys. Rev. Lett. 85:4940, 2000), which consists of defining a soft ultraviolet regulator in the space of Matsubara frequencies for the renormalized Green’s function. Then we proceed to derive analytically and solve numerically integro-differential flow equations for the effective couplings and the quasiparticle weight of the present model, which fully treat the interplay of particle-particle and particle-hole parquet diagrams and the effect of the two-loop self-energy feedback into them. We show that our results correctly reproduce accurate numerical renormalization group data for weak to slightly moderate interactions. These results are in excellent agreement with other functional Wilsonian RG works available in the literature. Since the field-theoretical RG method turns out to be easier to implement at higher loops than the Wilsonian approach, higher-order calculations within the present approach could improve further the results for this model at stronger couplings. We argue that the present RG scheme could thus offer a possible alternative to other functional RG methods to describe electronic correlations within this model.
Starting Page	192
Ending Page	207
Page Count	16
File Format	PDF
ISSN	00222291
Journal	Journal of Low Temperature Physics
Volume Number	166
Issue Number	3-4
e-ISSN	15737357
Language	English
Publisher	Springer US
Publisher Date	2011-12-10
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Renormalization group Anderson impurity model Fermi liquid Magnetism, Magnetic Materials Characterization and Evaluation of Materials Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Materials Science

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