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  Functional renormalization group for a large moiré unit cell

Klebl, L., Kennes, D. M., & Honerkamp, C. (2020). Functional renormalization group for a large moiré unit cell. Physical Review B, 102(8): 085109. doi:10.1103/PhysRevB.102.085109.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-DACD-E Version Permalink: http://hdl.handle.net/21.11116/0000-0006-DACE-D
Genre: Journal Article

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PhysRevB.102.085109.pdf (Publisher version), 3MB
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PhysRevB.102.085109.pdf
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
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2020
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https://dx.doi.org/10.1103/PhysRevB.102.085109 (Publisher version)
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https://arxiv.org/abs/2002.11030 (Preprint)
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 Creators:
Klebl, L.1, Author
Kennes, D. M.1, 2, 3, Author              
Honerkamp, C.4, Author
Affiliations:
1Institute for Theory of Statistical Physics, RWTH Aachen University, and JARA Fundamentals of Future Information Technology, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Center for Free Electron Laser Science, ou_persistent22              
4Institute for Theoretical Solid State Physics, RWTH Aachen University, and JARA Fundamentals of Future Information Technology, ou_persistent22              

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 Abstract: Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states. For the exploration of these, renormalization group methods are an appropriate, flexible tool that takes into account the mutual influence of competing tendencies. Here we show that, within reasonable, nontrivial approximations, the functional renormalization group known from simpler two-dimensional systems can be employed for the large-unit cell moiré superlattices with more than 10 000 bands, remedying the need to employ ad hoc restrictions to effective low-energy theories of a few bands and/or effective continuum theories. This provides a description on the atomic scale, allowing one to absorb available ab initio information on the model parameters and therefore lending the analysis a more concrete quantitative character. For the case of twisted bilayer graphene models, we explore the leading ordering tendencies, depending on the band filling and the range of interactions. The results indicate a delicate balance between distinct magnetically ordered ground states, as well as the occurrence of a charge modulation within the moiré unit cell for sufficiently nonlocal repulsive interaction.

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Language(s): eng - English
 Dates: 2020-05-252020-07-142020-08-042020-08-15
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevB.102.085109
arXiv: 2002.11030
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 102 (8) Sequence Number: 085109 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008