Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture

Stefan A. Maier, Andreas Eberlein, and Carsten Honerkamp
Phys. Rev. B 90, 035140 – Published 29 July 2014

Abstract

We present a functional renormalization group (fRG) formalism for interacting fermions on lattices that captures the flow into states with commensurate spin-density-wave order. During the flow, the growth of the order parameter is fed back into the flow of the interactions and all modes can be integrated out. This extends previous fRG flows in the symmetric phase that run into a divergence at a nonzero RG scale, i.e., that have to be stopped at the ordering scale. We use the corresponding Ward identity to check the accuracy of the results. We apply our method to a model with two Fermi pockets that have perfect particle-hole nesting. The results obtained from the fRG are compared with those in random-phase approximation.

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  • Received 12 June 2014
  • Revised 8 July 2014

DOI:https://doi.org/10.1103/PhysRevB.90.035140

©2014 American Physical Society

Authors & Affiliations

Stefan A. Maier1,*, Andreas Eberlein2, and Carsten Honerkamp1,†

  • 1Institute for Theoretical Solid State Physics, RWTH Aachen University, D-52056 Aachen, Germany
  • 2Max Planck Institute for Solid State Research, D-70569 Stuttgart, Germany

  • *smaier@physik.rwth-aachen.de
  • Member of JARA–FIT, Jülich-Aachen Research Alliance–Fundamentals of Future Information Technology.

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Issue

Vol. 90, Iss. 3 — 15 July 2014

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