### Abstract

Recently, Mott-insulating heterostructures have been proposed as

candidates for highly efficient solar cells [1]. Here, photoexcited

doublons and holes act as charge carriers which can proliferate due to impact ionisation processes [2].

Previous works have investigated the doublon dynamics in such systems within

time-dependent Dynamical Mean-Field Theory (DMFT) by looking at the time evolution after a photoexcitation [3].

In the present work we focus on the (quasi-) steady state of

periodically driven quantum systems. Specifically, we implement an

algorithm to deal with periodic steady states of strongly correlated

systems, making use of the nonequilibrium Floquet Green's function

formalism within the DMFT approximation.

Our model consists of a correlated layer subject to a periodic driving

via a homogeneous electric field and coupled to leads with different

chemical potentials.

We present results obtained with a Floquet DMFT implementation using the

Auxiliary Master Equation Approach (AMEA) [4] as an impurity solver.

AMEA is based upon mapping the system to an open quantum system

described by a Lindblad Master Equation. This allows the impurity to be

affected by short-ranged non-Markovian dynamics.

For comparison, we also carry out calculations on the same model within iterated perturbation

theory [5]

[1] E. Manousakis, Phys. Rev. B, 82, 125109, (2010); E.Assman et al., Phys. Rev. Lett. 110, 078701 (2013)

[2] J.Coulter et al., Phys. Rev. B, 90,165142 (2014)

[3] M.Eckstein and P. Werner, Phys. Rev. Lett., 113, 076405 (2014); P. Werner et al., Phys. Rev. B 90, 235102 (2014)

[4] E. Arrigoni et al., Phys. Rrev. Lett., 110, 086403 (2013); I. Titvinidze et al., Phys. Rev. B, 92, 245125 (2015)

[5] A. Joura et al., Phys Rrev. B, 91, 245153 (2015)

candidates for highly efficient solar cells [1]. Here, photoexcited

doublons and holes act as charge carriers which can proliferate due to impact ionisation processes [2].

Previous works have investigated the doublon dynamics in such systems within

time-dependent Dynamical Mean-Field Theory (DMFT) by looking at the time evolution after a photoexcitation [3].

In the present work we focus on the (quasi-) steady state of

periodically driven quantum systems. Specifically, we implement an

algorithm to deal with periodic steady states of strongly correlated

systems, making use of the nonequilibrium Floquet Green's function

formalism within the DMFT approximation.

Our model consists of a correlated layer subject to a periodic driving

via a homogeneous electric field and coupled to leads with different

chemical potentials.

We present results obtained with a Floquet DMFT implementation using the

Auxiliary Master Equation Approach (AMEA) [4] as an impurity solver.

AMEA is based upon mapping the system to an open quantum system

described by a Lindblad Master Equation. This allows the impurity to be

affected by short-ranged non-Markovian dynamics.

For comparison, we also carry out calculations on the same model within iterated perturbation

theory [5]

[1] E. Manousakis, Phys. Rev. B, 82, 125109, (2010); E.Assman et al., Phys. Rev. Lett. 110, 078701 (2013)

[2] J.Coulter et al., Phys. Rev. B, 90,165142 (2014)

[3] M.Eckstein and P. Werner, Phys. Rev. Lett., 113, 076405 (2014); P. Werner et al., Phys. Rev. B 90, 235102 (2014)

[4] E. Arrigoni et al., Phys. Rrev. Lett., 110, 086403 (2013); I. Titvinidze et al., Phys. Rev. B, 92, 245125 (2015)

[5] A. Joura et al., Phys Rrev. B, 91, 245153 (2015)

Original language | English |
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Publication status | Published - 22 Sep 2016 |

Event | ViCoM Young Researchers Meeting 2016 - Erwin Schrödinger Institute, Vienna, Austria Duration: 22 Sep 2016 → 23 Sep 2016 https://www.sfb-vicom.at/events/young-researchers-meeting-2016/program/ |

### Conference

Conference | ViCoM Young Researchers Meeting 2016 |
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Country | Austria |

City | Vienna |

Period | 22/09/16 → 23/09/16 |

Internet address |

### Fields of Expertise

- Advanced Materials Science

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## Cite this

Sorantin, M. E., Held, K., Dorda, A., von der Linden, W., & Arrigoni, E. (2016).

*Towards Mott insulator bases solar cells: Floquet Dynamical Mean-Field Theory approach for a bias-driven correlated layer in a time-periodic electric field*. Poster session presented at ViCoM Young Researchers Meeting 2016, Vienna, Austria.