### Abstract

We solve the single-impurity Anderson model in a magnetic field and out of equilibrium with an auxiliary master equation approach [1,2,3]. Employing Matrix Product States techniques to solve the many-body Lindblad equation allows us to generate highly accurate results, especially for the spectral functions. In equilibrium we find a remarkable agreement with spectral functions obtained with NRG, cf. [3].

The application of a bias voltage V and a magnetic field B both individually result in a splitting of the Kondo resonance around the Kondo temperature. With our method we can resolve a four-peak structure in the spectral function for nonzero B and V, due to both effects. This four-peak structure manifests itself in the differential conductance, which is very well accessible by experiments.

We finally compare our results to recent experiments [4,5] and draw conclusions about the underlying spectral functions. We find that our results nicely agree with experimental data also outside the Kondo regime.

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

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

[3] A. Dorda et al., Phys. Rev. B 92, 125145 (2015)

[4] A. V. Kretinin et al., Phys. Rev. B 84, 245316 (2011)

[5] A. V. Kretinin et al., Phys. Rev. B 85, 201301(R) (2012)

The application of a bias voltage V and a magnetic field B both individually result in a splitting of the Kondo resonance around the Kondo temperature. With our method we can resolve a four-peak structure in the spectral function for nonzero B and V, due to both effects. This four-peak structure manifests itself in the differential conductance, which is very well accessible by experiments.

We finally compare our results to recent experiments [4,5] and draw conclusions about the underlying spectral functions. We find that our results nicely agree with experimental data also outside the Kondo regime.

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

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

[3] A. Dorda et al., Phys. Rev. B 92, 125145 (2015)

[4] A. V. Kretinin et al., Phys. Rev. B 84, 245316 (2011)

[5] A. V. Kretinin et al., Phys. Rev. B 85, 201301(R) (2012)

Original language | English |
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Publication status | Published - 20 Jun 2017 |

Event | 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium - Physikzentrum Bad Honnef, Bad Honnef, Germany Duration: 18 Jun 2017 → 22 Jun 2017 https://indico.ph.tum.de/event/3705/?ovw=True |

### Seminar

Seminar | 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium |
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Country | Germany |

City | Bad Honnef |

Period | 18/06/17 → 22/06/17 |

Internet address |

### ASJC Scopus subject areas

- Condensed Matter Physics

### Fields of Expertise

- Advanced Materials Science

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## Cite this

Fugger, D. M., Dorda, A., Schwarz, F., von Delft, J., & Arrigoni, E. (2017).

*Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach*. Poster session presented at 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium, Bad Honnef, Germany.