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  Second-order functional renormalization group approach to quantum wires out of equilibrium

Klöckner, C., Kennes, D. M., & Karrasch, C. (2020). Second-order functional renormalization group approach to quantum wires out of equilibrium. Physical Review B, 102(23): 235113. doi:10.1103/PhysRevB.102.235113.

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PhysRevB.102.235113.pdf (Publisher version), 962KB
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© American Physical Society

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https://dx.doi.org/10.1103/PhysRevB.102.235113 (Publisher version)
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https://arxiv.org/abs/2004.03946 (Preprint)
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 Creators:
Klöckner, C.1, Author
Kennes, D. M.2, 3, Author              
Karrasch, C.1, Author
Affiliations:
1Technische Universität Braunschweig, Institut für Mathematische Physik, 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: The functional renormalization group (FRG) provides a flexible tool to study correlations in low-dimensional electronic systems. In this paper, we present an FRG approach to the steady state of quantum wires out of thermal equilibrium. Our method is correct up to second order in the two-particle interaction and accounts for inelastic scattering. We combine semianalytic solutions of the flow equations with MPI parallelization techniques, which allows us to treat systems of up to 60 lattice sites. The equilibrium limit is well understood and serves as a benchmark. We compute effective distribution functions, the local density of states, and the steady-state current and demonstrate that all of these quantities depend strongly on the choice of the cutoff employed within the FRG. Nonequilibrium is plagued by the lack of physical arguments in favor of a certain cutoff as well as by the appearance of secular higher-order terms which are only partly included in our approach. This demonstrates the inadequacy of a straightforward second-order FRG scheme to study interacting quantum wires out of equilibrium in the absence of a natural cutoff choice.

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Language(s): eng - English
 Dates: 2020-10-262020-04-082020-11-052020-12-042020-12-15
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevB.102.235113
arXiv: 2004.03946
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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 (23) Sequence Number: 235113 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008