期刊
NEW JOURNAL OF PHYSICS
卷 22, 期 8, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/ab990d
关键词
strongly correlated electrons; functional renormalization group; non-equilibrium phase transitions
资金
- 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]
- Max Planck-New York City Center for Non-Equilibrium Quantum Phenomena
- Deutsche Forschungsgemeinschaft through the Emmy Noether program [KA 3360/2-1]
We introduce a method to evaluate the steady-state non-equilibrium Keldysh-Schwinger Green's functions for infinite systems subject to both an electric field and a coupling to reservoirs. The method we present exploits a physical quasi-translation invariance, where a shift by one unit cell leaves the physics invariant if all electronic energies are simultaneously shifted by the magnitude of the electric field. Our framework is straightaway applicable to diagrammatic many-body methods. We discuss two flagship applications, mean-field theories as well as a sophisticated second-order functional renormalization group approach. The latter allows us to push the renormalization-group characterization of phase transitions for lattice fermions into the out-of-equilibrium realm. We exemplify this by studying a model of spinless fermions, which in equilibrium exhibits a Berezinskii-Kosterlitz-Thouless phase transition.
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