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Reference results for the momentum space functional renormalization group

Author

Listed:
  • Jacob Beyer

    (RWTH Aachen University
    JARA Fundamentals of Future Information Technology
    University of Melbourne)

  • Jonas B. Profe

    (JARA Fundamentals of Future Information Technology
    RWTH Aachen University)

  • Lennart Klebl

    (JARA Fundamentals of Future Information Technology
    RWTH Aachen University)

Abstract

The functional renormalization group (FRG), an established computational method for quantum many-body phenomena, has been subject to a diversification in topical applications, analytic approximations and numerical implementations. Despite significant efforts to accomplish a coherent standard through benchmarks and the reproduction of previous results, no systematic and comprehensive comparison has been provided until now. While this has not prevented the publication of relevant scientific results we argue that established mutual agreement across realizations will strengthen confidence in the method. To this end, we report explicit implementational details and numerical data reproduced thrice independently up to machine accuracy. To substantiate the reproducibility of our calculations, we scrutinize pillar FRG results reported in the literature, and discuss our calculations of these reference systems. We mean to entice other groups to reproduce and establish this set of benchmark FRG results thus propagating the joint effort of the FRG community to engage in a shared knowledge repository as a reference standard for FRG implementations Graphical abstract

Suggested Citation

  • Jacob Beyer & Jonas B. Profe & Lennart Klebl, 2022. "Reference results for the momentum space functional renormalization group," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(4), pages 1-18, April.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:4:d:10.1140_epjb_s10051-022-00323-y
    DOI: 10.1140/epjb/s10051-022-00323-y
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    Cited by:

    1. Carsten Honerkamp & Dante M. Kennes & Volker Meden & Michael M. Scherer & Ronny Thomale, 2022. "Recent developments in the functional renormalization group approach to correlated electron systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(12), pages 1-3, December.
    2. Matteo Dürrnagel & Jacob Beyer & Ronny Thomale & Tilman Schwemmer, 2022. "Unconventional superconductivity from weak coupling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-23, July.

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