Nonequilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase Transitions

被引:7
|
作者
Kloeckner, C. [1 ]
Karrasch, C. [1 ]
Kennes, D. M. [2 ,3 ,4 ]
机构
[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Math Phys, Mendelssohnstr 3, D-38106 Braunschweig, Germany
[2] Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
[3] JARA Fundamentals Future Informat Technol, D-52056 Aachen, Germany
[4] Max Planck Inst Struct & Dynam Matter, Ctr Free Electron Laser Sci, D-22761 Hamburg, Germany
关键词
RENORMALIZATION-GROUP; FIELD-THEORY;
D O I
10.1103/PhysRevLett.125.147601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页数:6
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