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  TU2FRG: a scalable approach for truncated unity functional renormalization group in generic fermionic models

Hauck, J. B., & Kennes, D. M. (2022). TU2FRG: a scalable approach for truncated unity functional renormalization group in generic fermionic models. The European Physical Journal B: Condensend Matter Physics, 95(3): 60. doi:10.1140/epjb/s10051-022-00316-x.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-CEB4-4 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F552-4
Genre: Journal Article

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https://arxiv.org/abs/2201.06299 (Preprint)
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https://doi.org/10.1140/epjb/s10051-022-00316-x (Publisher version)
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 Creators:
Hauck, J. B.1, 2, Author
Kennes, D. M.1, 2, 3, 4, Author           
Affiliations:
1JARA-Fundamentals of Future Information Technology, Julich, ou_persistent22              
2Institute for Theoretical Solid State Physics, RWTH Aachen University, ou_persistent22              
3Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
4Center for Free-Electron Laser Science, ou_persistent22              

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 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 TU2FRG. 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.

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Language(s): eng - English
 Dates: 2022-01-172022-03-082022-03-272022-03
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2201.06299
DOI: 10.1140/epjb/s10051-022-00316-x
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Project name : We thank J. Beyer, C. Honerkamp and L. Klebl for fruitful discussions and comparison of results. The Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) is acknowledged for support through RTG 1995 and under Germany’s Excellence Strategy—Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1-390534769. We acknowledge support from the Max Planck-New York City Center for Non-Equilibrium Quantum Phenomena. Simulations were performed with computing resources granted by RWTH Aachen University under project rwth0742.
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Title: The European Physical Journal B: Condensend Matter Physics
  Abbreviation : EPJ B
Source Genre: Journal
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Publ. Info: Les Ulis; Heidelberg; Berlin : EDP Sciences; Springer
Pages: - Volume / Issue: 95 (3) Sequence Number: 60 Start / End Page: - Identifier: ISSN: 1434-6036
ISSN: 1434-6028
CoNE: https://pure.mpg.de/cone/journals/resource/954927001233_2