### Abstract

Due to the experimental progress made in different microscopically control-

ling quantum mechanical systems quantum many body systems out of equilib-

rium have recently attracted increasing interest.

In this talk we present new developments of a recently introduced [1] theo-

retical scheme to deal with correlated system out of equilibrium. This approach

allows to efficiently investigate steady-state behavior of the system based upon

dynamical-mean-field theory (DMFT) within the nonequilibrium (Keldysh) Green’s

functions formalism [2].

The main novelty of the method is in the solution of the impurity prob-

lem. Here the idea is that the baths coupled to the interacting impurity are

replaced by a finite number of bath sites coupled to Markovian reservoirs [1,

3]. Up to now the method has been applied to a single correlated layer sand-

wiched between two metallic leads at different chemical potentials. Here we

show how to extend it to more complex geometries to treat more physically

relevant heterostructures. In articular we present results for the steady-state

current, spectral function and self-energy. First, we will review the case of a

single correlated layer and show the effect of the local Hubbard interaction and

bias voltage for weak and the intermediate hybridization strength to the leads.

Afterwards we present results for systems of particular interest, such as charge

modulated super-lattices, modulated doping close to the Mott insulator, and

resonance effects.

[1] E. Arrigoni et al, Phys. Rev. Lett. 110, 086403 (2013).

[2] J.K. Freericks, V. M. Turkowski, and V. Zlatic, Phys. Rev. Lett. 97, 266408

(2006)

[3] A. Dorda et al, Phys. Rev. B. 89, 165105 (2014).

ling quantum mechanical systems quantum many body systems out of equilib-

rium have recently attracted increasing interest.

In this talk we present new developments of a recently introduced [1] theo-

retical scheme to deal with correlated system out of equilibrium. This approach

allows to efficiently investigate steady-state behavior of the system based upon

dynamical-mean-field theory (DMFT) within the nonequilibrium (Keldysh) Green’s

functions formalism [2].

The main novelty of the method is in the solution of the impurity prob-

lem. Here the idea is that the baths coupled to the interacting impurity are

replaced by a finite number of bath sites coupled to Markovian reservoirs [1,

3]. Up to now the method has been applied to a single correlated layer sand-

wiched between two metallic leads at different chemical potentials. Here we

show how to extend it to more complex geometries to treat more physically

relevant heterostructures. In articular we present results for the steady-state

current, spectral function and self-energy. First, we will review the case of a

single correlated layer and show the effect of the local Hubbard interaction and

bias voltage for weak and the intermediate hybridization strength to the leads.

Afterwards we present results for systems of particular interest, such as charge

modulated super-lattices, modulated doping close to the Mott insulator, and

resonance effects.

[1] E. Arrigoni et al, Phys. Rev. Lett. 110, 086403 (2013).

[2] J.K. Freericks, V. M. Turkowski, and V. Zlatic, Phys. Rev. Lett. 97, 266408

(2006)

[3] A. Dorda et al, Phys. Rev. B. 89, 165105 (2014).

Original language | English |
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Publication status | Published - 18 Sep 2015 |

Event | New Generation in Strongly Correlated electron Systems 2015 - Trogir, Croatia Duration: 14 Sep 2015 → 18 Sep 2015 http://f1web.ijs.si/~zitko/conference.ngsces.org/2015/ |

### Conference

Conference | New Generation in Strongly Correlated electron Systems 2015 |
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Country | Croatia |

City | Trogir |

Period | 14/09/15 → 18/09/15 |

Internet address |

### Fingerprint

### Cooperations

- NAWI Graz

### Cite this

Titvinidze, I., Dorda, A., von der Linden, W., & Arrigoni, E. (2015).

*Non-equilibrium inhomogeneous DMFT for correlated Heterostructures*. New Generation in Strongly Correlated electron Systems 2015 , Trogir, Croatia.