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  Review of recent developments of the functional renormalization group for systems out of equilibrium

Camacho, G., Klöckner, C., Kennes, D. M., & Karrasch, C. (2022). Review of recent developments of the functional renormalization group for systems out of equilibrium. The European Physical Journal B: Condensend Matter Physics, 95(12): 195. doi:10.1140/epjb/s10051-022-00445-3.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-635F-D Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F6A2-8
Genre: Journal Article

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https://arxiv.org/abs/2205.00919 (Preprint)
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https://doi.org/10.1140/epjb/s10051-022-00445-3 (Publisher version)
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 Creators:
Camacho, G.1, Author
Klöckner, C.1, Author
Kennes, D. M.2, 3, Author           
Karrasch, C.1, Author
Affiliations:
1Institut für Mathematische Physik, Technische Universität Braunschweig, ou_persistent22              
2Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, ou_persistent22              
3Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              

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 Abstract: We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the frequency-dependence of the two particle vertex and which incorporate inelastic processes. Our focus is on two different types of one-dimensional fermion chains: (i) infinite, open systems which feature a translation symmetry, and (ii) finite systems coupled to left and right reservoirs. In addition to giving a detailed and unified review of the technical derivation of the FRG schemes, we briefly summarize some of the key physical results. In particular, we compute the non-equilibrium phase diagram and analyze the fate of the Berezinskii–Kosterlitz–Thouless transition in the infinite, open system.

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Language(s): eng - English
 Dates: 2022-05-042022-10-202022-12-022022-12
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2205.00919
DOI: 10.1140/epjb/s10051-022-00445-3
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Project name : G.C. and C.K. acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Emmy Noether program (KA3360/2-1) as well as by ‘Niedersächsisches Vorab’ through the ‘Quantum- and Nano-Metrology (QUANOMET)’ initiative within the project P-1. D.M.K. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy - Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1 - 390534769 and support from the Max Planck-New York City Center for Non-Equilibrium Quantum Phenomena.
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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 (12) Sequence Number: 195 Start / End Page: - Identifier: ISSN: 1434-6036
ISSN: 1434-6028
CoNE: https://pure.mpg.de/cone/journals/resource/954927001233_2