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

The European Physical Journal B, vol. 95

Abstract

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

Authors 2

  1. RWTH Aachen University · Jülich Aachen Research Alliance

    Affiliation as printed

    Institute for Theoretical Solid State Physics , RWTH Aachen University , 52062 Aachen , Germany

    JARA-Fundamentals of Future Information Technology , Julich , Germany

    Institute for Theoretical Solid State Physics, RWTH Aachen University, 52062, Aachen, Germany

  2. RWTH Aachen University · Jülich Aachen Research Alliance · Max Planck Institute for the Structure and Dynamics of Matter · Center for Free-Electron Laser Science

    Affiliation as printed

    Institute for Theoretical Solid State Physics, RWTH Aachen University, 52062, Aachen, Germany

    JARA-Fundamentals of Future Information Technology, Julich, Germany

    Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, Hamburg, Germany

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References 69