### Abstract

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 - 21 Oct 2016 |

Event | ViCoM Fall Workshop 2016 - Oskar- Morgenstern -Platz 1 (Sky Lounge), Vienna, Austria Duration: 20 Oct 2016 → 21 Oct 2016 https://www.wpi.ac.at/themedata/vicom_WS |

### Conference

Conference | ViCoM Fall Workshop 2016 |
---|---|

Country | Austria |

City | Vienna |

Period | 20/10/16 → 21/10/16 |

Internet address |

### Fingerprint

### Fields of Expertise

- Advanced Materials Science

### Cite this

*Impact ionisation processes in the periodic steady state of a driven Hubbard chain*. ViCoM Fall Workshop 2016, Vienna, Austria.

**Impact ionisation processes in the periodic steady state of a driven Hubbard chain.** / Sorantin, Max Erich; Held, Karsten; Dorda, Antonius; von der Linden, Wolfgang; Arrigoni, Enrico.

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

}

TY - CONF

T1 - Impact ionisation processes in the periodic steady state of a driven Hubbard chain

AU - Sorantin, Max Erich

AU - Held, Karsten

AU - Dorda, Antonius

AU - von der Linden, Wolfgang

AU - Arrigoni, Enrico

PY - 2016/10/21

Y1 - 2016/10/21

N2 - Recently, Mott-insulating heterostructures have been proposed ascandidates for highly efficient solar cells [1]. Here, photoexciteddoublons 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 withintime-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 ofperiodically driven quantum systems. Specifically, we implement analgorithm to deal with periodic steady states of strongly correlatedsystems, making use of the nonequilibrium Floquet Green's functionformalism within the DMFT approximation.Our model consists of a correlated layer subject to a periodic drivingvia a homogeneous electric field and coupled to leads with differentchemical potentials.We present results obtained with a Floquet DMFT implementation using theAuxiliary Master Equation Approach (AMEA) [4] as an impurity solver.AMEA is based upon mapping the system to an open quantum systemdescribed by a Lindblad Master Equation. This allows the impurity to beaffected by short-ranged non-Markovian dynamics.For comparison, we also carry out calculations on the same model within iterated perturbationtheory [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)

AB - Recently, Mott-insulating heterostructures have been proposed ascandidates for highly efficient solar cells [1]. Here, photoexciteddoublons 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 withintime-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 ofperiodically driven quantum systems. Specifically, we implement analgorithm to deal with periodic steady states of strongly correlatedsystems, making use of the nonequilibrium Floquet Green's functionformalism within the DMFT approximation.Our model consists of a correlated layer subject to a periodic drivingvia a homogeneous electric field and coupled to leads with differentchemical potentials.We present results obtained with a Floquet DMFT implementation using theAuxiliary Master Equation Approach (AMEA) [4] as an impurity solver.AMEA is based upon mapping the system to an open quantum systemdescribed by a Lindblad Master Equation. This allows the impurity to beaffected by short-ranged non-Markovian dynamics.For comparison, we also carry out calculations on the same model within iterated perturbationtheory [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)

M3 - (Old data) Lecture or Presentation

ER -