Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model

Andreas Eberlein
Phys. Rev. B 90, 115125 – Published 12 September 2014

Abstract

We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the two-particle vertex in charge, magnetic and pairing channels. The method treats single-particle and collective excitations in all channels on equal footing, allows for the description of symmetry breaking and captures collective mode fluctuation physics in the infrared. As a first application, we study the superfluid ground state of the two-dimensional attractive Hubbard model. We obtain superfluid gaps that are reduced by fluctuations in comparison to the one-loop approximation and demonstrate that the method captures the renormalization of the amplitude mode by long-range phase fluctuations.

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  • Received 8 July 2014

DOI:https://doi.org/10.1103/PhysRevB.90.115125

©2014 American Physical Society

Authors & Affiliations

Andreas Eberlein

  • Max Planck Institute for Solid State Research, D-70569 Stuttgart, Germany

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Issue

Vol. 90, Iss. 11 — 15 September 2014

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