### Abstract

We present an approach to compute electronic steady state properties

of strongly correlated quantum systems out of equilibrium

within dynamical mean-field theory (DMFT).

Specifically, the DMFT impurity solver is based upon the exact

solution of an auxiliary system consisting of a small number of bath

sites coupled to the interacting impurity and to two Markovian

reservoirs.

The steady state Green's function of the auxiliary system is

obtained via a biconjugate Lanczos diagonalisation of the corresponding many-body

non-Hermitian Lindblad equation.

The approach can be regarded as the non-equilibrium extension

of the exact-diagonalization based DMFT, and introduces appropriate

absorbing boundary conditions for a many-body system.

Results are also presented for the Anderson

impurity model under a finite bias voltage, and the behavior of

the Kondo peak as function of voltage is discussed.

of strongly correlated quantum systems out of equilibrium

within dynamical mean-field theory (DMFT).

Specifically, the DMFT impurity solver is based upon the exact

solution of an auxiliary system consisting of a small number of bath

sites coupled to the interacting impurity and to two Markovian

reservoirs.

The steady state Green's function of the auxiliary system is

obtained via a biconjugate Lanczos diagonalisation of the corresponding many-body

non-Hermitian Lindblad equation.

The approach can be regarded as the non-equilibrium extension

of the exact-diagonalization based DMFT, and introduces appropriate

absorbing boundary conditions for a many-body system.

Results are also presented for the Anderson

impurity model under a finite bias voltage, and the behavior of

the Kondo peak as function of voltage is discussed.

Originalsprache | englisch |
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Seitenumfang | 1 |

Publikationsstatus | Veröffentlicht - 23 Sep 2013 |

Veranstaltung | Korrelationstage 2013 - Dauer: 27 Sep 2013 → … |

### Konferenz

Konferenz | Korrelationstage 2013 |
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Zeitraum | 27/09/13 → … |

### Fields of Expertise

- Advanced Materials Science

## Fingerprint Untersuchen Sie die Forschungsthemen von „Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach“. Zusammen bilden sie einen einzigartigen Fingerprint.

## Dieses zitieren

Arrigoni, E. (2013).

*Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach*. Korrelationstage 2013, .