### Abstract

Original language | English |
---|---|

Pages (from-to) | 086403 |

Number of pages | 1 |

Journal | Physical Review Letters |

Volume | 110 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1 Feb 2013 |

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### Cite this

**Nonequilibrium Dynamical Mean-Field Theory: An Auxiliary Quantum Master Equation Approach.** / Arrigoni, Enrico; Knap, Michael; von der Linden, Wolfgang.

Research output: Contribution to journal › Article › Research › peer-review

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TY - JOUR

T1 - Nonequilibrium Dynamical Mean-Field Theory: An Auxiliary Quantum Master Equation Approach

AU - Arrigoni, Enrico

AU - Knap, Michael

AU - von der Linden, Wolfgang

PY - 2013/2/1

Y1 - 2013/2/1

N2 - We introduce a versatile method to compute electronic steady-state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is mapped onto an auxiliary nonequilibrium impurity problem imbedded in a Markovian environment. The steady-state Green’s function of the auxiliary system is solved by full diagonalization of the corresponding Lindblad equation. The approach can be regarded as the nontrivial extension of the exact-diagonalization-based DMFT to the nonequilibrium case. As a first application, we consider an interacting Hubbard layer attached to two metallic leads and present results for the steady-state current and the nonequilibrium density of states.

AB - We introduce a versatile method to compute electronic steady-state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is mapped onto an auxiliary nonequilibrium impurity problem imbedded in a Markovian environment. The steady-state Green’s function of the auxiliary system is solved by full diagonalization of the corresponding Lindblad equation. The approach can be regarded as the nontrivial extension of the exact-diagonalization-based DMFT to the nonequilibrium case. As a first application, we consider an interacting Hubbard layer attached to two metallic leads and present results for the steady-state current and the nonequilibrium density of states.

U2 - 10.1103/PhysRevLett.110.086403

DO - 10.1103/PhysRevLett.110.086403

M3 - Article

VL - 110

SP - 086403

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

ER -