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TU $$^2$$ 2 FRG: a scalable approach for truncated unity functional renormalization group in generic fermionic models

Author

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  • Jonas B. Profe

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

  • Dante M. Kennes

    (RWTH Aachen University
    JARA-Fundamentals of Future Information Technology
    Center for Free Electron Laser Science)

Abstract

Describing the emergence of phases of condensed matter is one of the central challenges in physics. For this purpose many numerical and analytical methods have been developed, each with their own strengths and limitations. The functional renormalization group is one of these methods bridging between efficiency and accuracy. In this paper we derive a new truncated unity (TU) approach unifying real- and momentum space TU, called TU $$^2$$ 2 FRG. This formalism significantly improves the scaling compared to conventional momentum (TU)FRG when applied to large unit-cell models and models where the translational symmetry is broken. Graphic abstract

Suggested Citation

  • Jonas B. Profe & Dante M. Kennes, 2022. "TU $$^2$$ 2 FRG: a scalable approach for truncated unity functional renormalization group in generic fermionic models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-13, March.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:3:d:10.1140_epjb_s10051-022-00316-x
    DOI: 10.1140/epjb/s10051-022-00316-x
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    References listed on IDEAS

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    1. Haoxin Zhou & Tian Xie & Areg Ghazaryan & Tobias Holder & James R. Ehrets & Eric M. Spanton & Takashi Taniguchi & Kenji Watanabe & Erez Berg & Maksym Serbyn & Andrea F. Young, 2021. "Half- and quarter-metals in rhombohedral trilayer graphene," Nature, Nature, vol. 598(7881), pages 429-433, October.
    2. Haoxin Zhou & Tian Xie & Takashi Taniguchi & Kenji Watanabe & Andrea F. Young, 2021. "Superconductivity in rhombohedral trilayer graphene," Nature, Nature, vol. 598(7881), pages 434-438, October.
    3. Linda Ye & Mingu Kang & Junwei Liu & Felix von Cube & Christina R. Wicker & Takehito Suzuki & Chris Jozwiak & Aaron Bostwick & Eli Rotenberg & David C. Bell & Liang Fu & Riccardo Comin & Joseph G. Che, 2018. "Massive Dirac fermions in a ferromagnetic kagome metal," Nature, Nature, vol. 555(7698), pages 638-642, March.
    4. Yuan Cao & Valla Fatemi & Shiang Fang & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Pablo Jarillo-Herrero, 2018. "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 43-50, April.
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    Cited by:

    1. Jacob Beyer & Florian Goth & Tobias Müller, 2022. "Better integrators for functional renormalization group calculations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-11, July.
    2. 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.

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