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  Nonequilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase Transitions

Klöckner, C., Karrasch, C., & Kennes, D. M. (2020). Nonequilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase Transitions. Physical Review Letters, 125(14): 147601. doi:10.1103/PhysRevLett.125.147601.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0007-4261-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-4262-0
Genre: Journal Article

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 Creators:
Klöckner, C.1, Author
Karrasch, C.1, Author
Kennes, D. M.2, 3, 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: We employ a novel, unbiased renormalization-group approach to investigate nonequilibrium phase transitions in infinite lattice models. This allows us to address the delicate interplay of fluctuations and ordering tendencies in low dimensions out of equilibrium. We study a prototypical model for the metal to insulator transition of spinless interacting fermions coupled to electronic baths and driven out of equilibrium by a longitudinal static electric field. The closed system features a Berezinskii-Kosterlitz-Thouless transition between a metallic and a charge-ordered phase in the equilibrium limit. We compute the nonequilibrium phase diagram and illustrate a highly nonmonotonic dependence of the phase boundary on the strength of the electric field: for small fields, the induced currents destroy the charge order, while at higher electric fields it reemerges due to many-body Wannier-Stark localization physics. Finally, we show that the current in such an interacting nonequilibrium system can counter-intuitively flow opposite to the direction of the electric field. This nonequilibrium steady state is reminiscent of an equilibrium distribution function with an effective negative temperature.

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Language(s): eng - English
 Dates: 2020-03-212020-08-262020-10-012020-10-02
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.125.147601
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 125 (14) Sequence Number: 147601 Start / End Page: - Identifier: ISSN: 0031-9007
ISSN: 1079-7114