Interaction flow method for many-fermion systems

Abstract

We propose an interaction flow scheme that sums up the perturbation expansion of many-particle systems by successively increasing the interaction strength. It combines the unbiasedness of renormalization group methods with the simplicity of straight-forward perturbation theory. Applying the scheme to fermions in one dimension and to the two-dimensional Hubbard model we find that at one-loop level and low temperatures there is ample agreement with previous one-loop renormalization group approaches. We furthermore present results for the momentum-dependence of spin, charge and pairing interactions in the two-dimensional Hubbard model.

14 pages, 14 figures

References in corpus (1)

• Functional renormalization group for Luttinger liquids with impurities

Cited by in corpus (3)

• Impurity and correlation effects on transport in one-dimensional quantum wires
• Collective fields in the functional renormalization group for fermions, Ward identities, and the exact solution of the Tomonaga-Luttinger model
• Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism