https://doi.org/10.1140/epjb/s10051-022-00316-x
Regular Article - Solid State and Materials
TU
FRG: a scalable approach for truncated unity functional renormalization group in generic fermionic models
1
Institute for Theoretical Solid State Physics, RWTH Aachen University, 52062, Aachen, Germany
2
JARA-Fundamentals of Future Information Technology, Julich, Germany
3
Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, Hamburg, Germany
Received:
17
January
2022
Accepted:
8
March
2022
Published online:
27
March
2022
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 TUFRG. 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.
© The Author(s) 2022
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