Non-equilibrium inhomogeneous DMFT for correlated Heterostructures

Irakli Titvinidze, Antonius Dorda, Wolfgang von der Linden, Enrico Arrigoni

Research output: Contribution to conferencePosterResearch

Abstract

In this talk we present new developments of a recently introduced
[1] theoretical scheme to deal with correlated system out of equilibrium. This ap-
proach 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 problem. Here the idea is that the baths coupled to the interacting
impurity are replaced by a finite number of bath sites coupled to Markovian reser-
voirs [1, 3]. Up to now the method has been applied to a single correlated layer
sandwiched between two metallic leads at different chemical potentials. Here we
show how to extend it to more complex geometries to treat more physically rele-
vant heterostructures. In particular we present results for the steady-state current,
spectral function and self-energy. First, we will review the case of a single corre-
lated 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 languageEnglish
Publication statusPublished - 18 Aug 2015
EventProgress in Nonequilibrium Green's Functions VI - Lund
Duration: 17 Aug 201521 Aug 2015

Conference

ConferenceProgress in Nonequilibrium Green's Functions VI
CityLund
Period17/08/1521/08/15

Fingerprint

baths
dynamical systems
Green's functions
insulators
formalism
impurities
geometry
interactions
energy

Cite this

Titvinidze, I., Dorda, A., von der Linden, W., & Arrigoni, E. (2015). Non-equilibrium inhomogeneous DMFT for correlated Heterostructures. Poster session presented at Progress in Nonequilibrium Green's Functions VI, Lund, .

Non-equilibrium inhomogeneous DMFT for correlated Heterostructures. / Titvinidze, Irakli; Dorda, Antonius; von der Linden, Wolfgang; Arrigoni, Enrico.

2015. Poster session presented at Progress in Nonequilibrium Green's Functions VI, Lund, .

Research output: Contribution to conferencePosterResearch

Titvinidze, I, Dorda, A, von der Linden, W & Arrigoni, E 2015, 'Non-equilibrium inhomogeneous DMFT for correlated Heterostructures' Progress in Nonequilibrium Green's Functions VI, Lund, 17/08/15 - 21/08/15, .
Titvinidze I, Dorda A, von der Linden W, Arrigoni E. Non-equilibrium inhomogeneous DMFT for correlated Heterostructures. 2015. Poster session presented at Progress in Nonequilibrium Green's Functions VI, Lund, .
Titvinidze, Irakli ; Dorda, Antonius ; von der Linden, Wolfgang ; Arrigoni, Enrico. / Non-equilibrium inhomogeneous DMFT for correlated Heterostructures. Poster session presented at Progress in Nonequilibrium Green's Functions VI, Lund, .
@conference{cb634d9d56024d4aa6b5c6b6f4634319,
title = "Non-equilibrium inhomogeneous DMFT for correlated Heterostructures",
abstract = "In this talk we present new developments of a recently introduced[1] theoretical scheme to deal with correlated system out of equilibrium. This ap-proach allows to efficiently investigate steady-state behavior of the system basedupon dynamical-mean-field theory (DMFT) within the nonequilibrium (Keldysh)Green’s functions formalism [2]. The main novelty of the method is in the solutionof the impurity problem. Here the idea is that the baths coupled to the interactingimpurity are replaced by a finite number of bath sites coupled to Markovian reser-voirs [1, 3]. Up to now the method has been applied to a single correlated layersandwiched between two metallic leads at different chemical potentials. Here weshow how to extend it to more complex geometries to treat more physically rele-vant heterostructures. In particular we present results for the steady-state current,spectral function and self-energy. First, we will review the case of a single corre-lated layer and show the effect of the local Hubbard interaction and bias voltagefor weak and the intermediate hybridization strength to the leads. Afterwards wepresent 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 etal, Phys. Rev. B. 89, 165105 (2014).",
author = "Irakli Titvinidze and Antonius Dorda and {von der Linden}, Wolfgang and Enrico Arrigoni",
year = "2015",
month = "8",
day = "18",
language = "English",
note = "Progress in Nonequilibrium Green's Functions VI ; Conference date: 17-08-2015 Through 21-08-2015",

}

TY - CONF

T1 - Non-equilibrium inhomogeneous DMFT for correlated Heterostructures

AU - Titvinidze, Irakli

AU - Dorda, Antonius

AU - von der Linden, Wolfgang

AU - Arrigoni, Enrico

PY - 2015/8/18

Y1 - 2015/8/18

N2 - In this talk we present new developments of a recently introduced[1] theoretical scheme to deal with correlated system out of equilibrium. This ap-proach allows to efficiently investigate steady-state behavior of the system basedupon dynamical-mean-field theory (DMFT) within the nonequilibrium (Keldysh)Green’s functions formalism [2]. The main novelty of the method is in the solutionof the impurity problem. Here the idea is that the baths coupled to the interactingimpurity are replaced by a finite number of bath sites coupled to Markovian reser-voirs [1, 3]. Up to now the method has been applied to a single correlated layersandwiched between two metallic leads at different chemical potentials. Here weshow how to extend it to more complex geometries to treat more physically rele-vant heterostructures. In particular we present results for the steady-state current,spectral function and self-energy. First, we will review the case of a single corre-lated layer and show the effect of the local Hubbard interaction and bias voltagefor weak and the intermediate hybridization strength to the leads. Afterwards wepresent 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 etal, Phys. Rev. B. 89, 165105 (2014).

AB - In this talk we present new developments of a recently introduced[1] theoretical scheme to deal with correlated system out of equilibrium. This ap-proach allows to efficiently investigate steady-state behavior of the system basedupon dynamical-mean-field theory (DMFT) within the nonequilibrium (Keldysh)Green’s functions formalism [2]. The main novelty of the method is in the solutionof the impurity problem. Here the idea is that the baths coupled to the interactingimpurity are replaced by a finite number of bath sites coupled to Markovian reser-voirs [1, 3]. Up to now the method has been applied to a single correlated layersandwiched between two metallic leads at different chemical potentials. Here weshow how to extend it to more complex geometries to treat more physically rele-vant heterostructures. In particular we present results for the steady-state current,spectral function and self-energy. First, we will review the case of a single corre-lated layer and show the effect of the local Hubbard interaction and bias voltagefor weak and the intermediate hybridization strength to the leads. Afterwards wepresent 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 etal, Phys. Rev. B. 89, 165105 (2014).

M3 - Poster

ER -