### Abstract

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.

Original language | English |
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Number of pages | 1 |

Publication status | Published - 23 Sep 2013 |

Event | Korrelationstage 2013 - Duration: 27 Sep 2013 → … |

### Conference

Conference | Korrelationstage 2013 |
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Period | 27/09/13 → … |

### Fingerprint

### Fields of Expertise

- Advanced Materials Science

### Cite this

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

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

Research output: Contribution to conference › (Old data) Lecture or Presentation › Research

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TY - CONF

T1 - Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach

AU - Arrigoni, Enrico

PY - 2013/9/23

Y1 - 2013/9/23

N2 - We present an approach to compute electronic steady state properties of strongly correlated quantum systems out of equilibriumwithin dynamical mean-field theory (DMFT).Specifically, the DMFT impurity solver is based upon the exactsolution of an auxiliary system consisting of a small number of bathsites coupled to the interacting impurity and to two Markovianreservoirs.The steady state Green's function of the auxiliary system isobtained 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 appropriateabsorbing 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.

AB - We present an approach to compute electronic steady state properties of strongly correlated quantum systems out of equilibriumwithin dynamical mean-field theory (DMFT).Specifically, the DMFT impurity solver is based upon the exactsolution of an auxiliary system consisting of a small number of bathsites coupled to the interacting impurity and to two Markovianreservoirs.The steady state Green's function of the auxiliary system isobtained 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 appropriateabsorbing 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.

UR - http://www.mpipks-dresden.mpg.de/~korrel13/

M3 - (Old data) Lecture or Presentation

ER -