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

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]. Treating the master equation within the framework of matrix product states allows us to generate highly accurate results, especially for the spectral functions. In equilibrium we find a remarkable agreement to spectral functions achieved 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 [4,5,6] and draw conclusions about the underlying spectral functions.


[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)
[6] M. Ferrier et al., Nat. Phys. 12, 230 (2016)
Original languageEnglish
Publication statusPublished - 5 Sep 2016

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Kondo effect
magnetic fields
impurities
electric potential
products
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fields of Expertise

  • Advanced Materials Science

Cite this

@conference{d13fea18cb374699b47f2c10242a367f,
title = "Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach",
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]. Treating the master equation within the framework of matrix product states allows us to generate highly accurate results, especially for the spectral functions. In equilibrium we find a remarkable agreement to spectral functions achieved 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 [4,5,6] and draw conclusions about the underlying spectral functions.[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)[6] M. Ferrier et al., Nat. Phys. 12, 230 (2016)",
author = "Fugger, {Delia Maria} and Antonius Dorda and {von der Linden}, Wolfgang and Enrico Arrigoni",
year = "2016",
month = "9",
day = "5",
language = "English",

}

TY - CONF

T1 - Nonequilibrium Kondo effect in a magnetic field

T2 - Auxiliary master equation approach

AU - Fugger, Delia Maria

AU - Dorda, Antonius

AU - von der Linden, Wolfgang

AU - Arrigoni, Enrico

PY - 2016/9/5

Y1 - 2016/9/5

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]. Treating the master equation within the framework of matrix product states allows us to generate highly accurate results, especially for the spectral functions. In equilibrium we find a remarkable agreement to spectral functions achieved 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 [4,5,6] and draw conclusions about the underlying spectral functions.[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)[6] M. Ferrier et al., Nat. Phys. 12, 230 (2016)

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]. Treating the master equation within the framework of matrix product states allows us to generate highly accurate results, especially for the spectral functions. In equilibrium we find a remarkable agreement to spectral functions achieved 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 [4,5,6] and draw conclusions about the underlying spectral functions.[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)[6] M. Ferrier et al., Nat. Phys. 12, 230 (2016)

M3 - Poster

ER -