Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach

Delia Maria Fugger, Antonius Dorda, Frauke Schwarz, Jan von Delft, Enrico Arrigoni

Research output: Contribution to conferencePosterResearch

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)
LanguageEnglish
StatusPublished - 20 Jun 2017
Event645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium - Physikzentrum Bad Honnef, Bad Honnef, Germany
Duration: 18 Jun 201722 Jun 2017
https://indico.ph.tum.de/event/3705/?ovw=True

Seminar

Seminar645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium
CountryGermany
CityBad Honnef
Period18/06/1722/06/17
Internet address

Fingerprint

Kondo effect
magnetic fields
impurities
electric potential
products
temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Fields of Expertise

  • Advanced Materials Science

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.

Nonequilibrium Kondo effect in a magnetic field : Auxiliary master equation approach. / Fugger, Delia Maria; Dorda, Antonius; Schwarz, Frauke; von Delft, Jan; Arrigoni, Enrico.

2017. Poster session presented at 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium, Bad Honnef, Germany.

Research output: Contribution to conferencePosterResearch

Fugger, DM, Dorda, A, Schwarz, F, von Delft, J & Arrigoni, E 2017, 'Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach' 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium, Bad Honnef, Germany, 18/06/17 - 22/06/17, .
Fugger DM, Dorda A, Schwarz F, von Delft J, Arrigoni E. Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach. 2017. Poster session presented at 645. WE-Heraeus-Seminar: Emergent Phenomena and Universality in Correlated Quantum Systems Far Away from Equilibrium, Bad Honnef, Germany.
Fugger, Delia Maria ; Dorda, Antonius ; Schwarz, Frauke ; von Delft, Jan ; Arrigoni, Enrico. / 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.
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AU - Fugger, Delia Maria

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AU - Arrigoni, Enrico

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N2 - 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)

AB - 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)

M3 - Poster

ER -