IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v95y2022i3d10.1140_epjb_s10051-022-00316-x.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-022-00316-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-022-00316-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiaozhou Zan & Xiangdong Guo & Aolin Deng & Zhiheng Huang & Le Liu & Fanfan Wu & Yalong Yuan & Jiaojiao Zhao & Yalin Peng & Lu Li & Yangkun Zhang & Xiuzhen Li & Jundong Zhu & Jingwei Dong & Dongxia Sh, 2024. "Electron/infrared-phonon coupling in ABC trilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    2. Anushree Datta & M. J. Calderón & A. Camjayi & E. Bascones, 2023. "Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Lebing Chen & Xiaokun Teng & Hengxin Tan & Barry L. Winn & Garrett E. Granroth & Feng Ye & D. H. Yu & R. A. Mole & Bin Gao & Binghai Yan & Ming Yi & Pengcheng Dai, 2024. "Competing itinerant and local spin interactions in kagome metal FeGe," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Benjamin Lowe & Bernard Field & Jack Hellerstedt & Julian Ceddia & Henry L. Nourse & Ben J. Powell & Nikhil V. Medhekar & Agustin Schiffrin, 2024. "Local gate control of Mott metal-insulator transition in a 2D metal-organic framework," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. Anna M. Seiler & Nils Jacobsen & Martin Statz & Noelia Fernandez & Francesca Falorsi & Kenji Watanabe & Takashi Taniguchi & Zhiyu Dong & Leonid S. Levitov & R. Thomas Weitz, 2024. "Probing the tunable multi-cone band structure in Bernal bilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    6. Wenqiang Zhou & Jing Ding & Jiannan Hua & Le Zhang & Kenji Watanabe & Takashi Taniguchi & Wei Zhu & Shuigang Xu, 2024. "Layer-polarized ferromagnetism in rhombohedral multilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    7. Shubhayu Chatterjee & Taige Wang & Erez Berg & Michael P. Zaletel, 2022. "Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    8. Le Liu & Shihao Zhang & Yanbang Chu & Cheng Shen & Yuan Huang & Yalong Yuan & Jinpeng Tian & Jian Tang & Yiru Ji & Rong Yang & Kenji Watanabe & Takashi Taniguchi & Dongxia Shi & Jianpeng Liu & Wei Yan, 2022. "Isospin competitions and valley polarized correlated insulators in twisted double bilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    9. J. González & T. Stauber, 2023. "Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    10. Yong Hu & Junzhang Ma & Yinxiang Li & Yuxiao Jiang & Dariusz Jakub Gawryluk & Tianchen Hu & Jérémie Teyssier & Volodymyr Multian & Zhouyi Yin & Shuxiang Xu & Soohyeon Shin & Igor Plokhikh & Xinloong H, 2024. "Phonon promoted charge density wave in topological kagome metal ScV6Sn6," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    11. Sami Dzsaber & Diego A. Zocco & Alix McCollam & Franziska Weickert & Ross McDonald & Mathieu Taupin & Gaku Eguchi & Xinlin Yan & Andrey Prokofiev & Lucas M. K. Tang & Bryan Vlaar & Laurel E. Winter & , 2022. "Control of electronic topology in a strongly correlated electron system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    12. Sahar Pakdel & Asbjørn Rasmussen & Alireza Taghizadeh & Mads Kruse & Thomas Olsen & Kristian S. Thygesen, 2024. "High-throughput computational stacking reveals emergent properties in natural van der Waals bilayers," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    13. Suk Hyun Sung & Yin Min Goh & Hyobin Yoo & Rebecca Engelke & Hongchao Xie & Kuan Zhang & Zidong Li & Andrew Ye & Parag B. Deotare & Ellad B. Tadmor & Andrew J. Mannix & Jiwoong Park & Liuyan Zhao & Ph, 2022. "Torsional periodic lattice distortions and diffraction of twisted 2D materials," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    14. Robin Huber & Max-Niklas Steffen & Martin Drienovsky & Andreas Sandner & Kenji Watanabe & Takashi Taniguchi & Daniela Pfannkuche & Dieter Weiss & Jonathan Eroms, 2022. "Band conductivity oscillations in a gate-tunable graphene superlattice," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    15. Max Heyl & Kyosuke Adachi & Yuki M. Itahashi & Yuji Nakagawa & Yuichi Kasahara & Emil J. W. List-Kratochvil & Yusuke Kato & Yoshihiro Iwasa, 2022. "Vortex dynamics in the two-dimensional BCS-BEC crossover," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    16. Sunny Gupta & Henry Yu & Boris I. Yakobson, 2022. "Designing 1D correlated-electron states by non-Euclidean topography of 2D monolayers," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    17. Yiran Ding & Mengqi Zeng & Qijing Zheng & Jiaqian Zhang & Ding Xu & Weiyin Chen & Chenyang Wang & Shulin Chen & Yingying Xie & Yu Ding & Shuting Zheng & Jin Zhao & Peng Gao & Lei Fu, 2021. "Bidirectional and reversible tuning of the interlayer spacing of two-dimensional materials," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    18. Hanyu Wang & Wei Xu & Zeyong Wei & Yiyuan Wang & Zhanshan Wang & Xinbin Cheng & Qinghua Guo & Jinhui Shi & Zhihong Zhu & Biao Yang, 2024. "Twisted photonic Weyl meta-crystals and aperiodic Fermi arc scattering," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    19. Mengqi Huang & Zeliang Sun & Gerald Yan & Hongchao Xie & Nishkarsh Agarwal & Gaihua Ye & Suk Hyun Sung & Hanyi Lu & Jingcheng Zhou & Shaohua Yan & Shangjie Tian & Hechang Lei & Robert Hovden & Rui He , 2023. "Revealing intrinsic domains and fluctuations of moiré magnetism by a wide-field quantum microscope," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    20. Saizheng Cao & Chenchao Xu & Hiroshi Fukui & Taishun Manjo & Ying Dong & Ming Shi & Yang Liu & Chao Cao & Yu Song, 2023. "Competing charge-density wave instabilities in the kagome metal ScV6Sn6," Nature Communications, Nature, vol. 14(1), pages 1-10, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:95:y:2022:i:3:d:10.1140_epjb_s10051-022-00316-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.