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 journalArticleResearchpeer-review

Abstract

We study the single-impurity Anderson model out of equilibrium under the influence of a bias voltage φ and a magnetic field B. We investigate the interplay between the shift (ω_B) of the Kondo peak in the spin-resolved density of states (DOS) and the one (φ_B) of the conductance anomaly. In agreement with experiments and previous theoretical calculations we find that, while the latter displays a rather linear behavior with an almost constant slope as a function of B down to the Kondo scale, the DOS shift first features a slower increase reaching the same behavior as φ_B only for |g| μ_B B << k_B T_K.Our auxiliary master equation approach yields highly accurate nonequilibrium results for the DOS and for the conductance all the way from within the Kondo up to the charge fluctuation regime, showing excellent agreement with a recently introduced scheme based on a combination of numerical renormalization group with time-dependent density matrix renormalization group.
Original languageEnglish
Article number013030
Number of pages12
JournalNew journal of physics
Volume20
Issue number1
DOIs
Publication statusPublished - 22 Jan 2018

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Kondo effect
magnetic fields
shift
anomalies
slopes
impurities
electric potential

Keywords

  • Anderson impurity model, nonequilibrium steady state, Zeeman magnetic field, spectral shift, conductance splitting, Kondo effect, auxiliary master equation approach

ASJC Scopus subject areas

  • Condensed Matter Physics

Fields of Expertise

  • Advanced Materials Science

Cite this

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

In: New journal of physics , Vol. 20, No. 1, 013030, 22.01.2018.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Fugger, Delia Maria

AU - Dorda, Antonius

AU - Schwarz, Frauke

AU - von Delft, Jan

AU - Arrigoni, Enrico

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Y1 - 2018/1/22

N2 - We study the single-impurity Anderson model out of equilibrium under the influence of a bias voltage φ and a magnetic field B. We investigate the interplay between the shift (ω_B) of the Kondo peak in the spin-resolved density of states (DOS) and the one (φ_B) of the conductance anomaly. In agreement with experiments and previous theoretical calculations we find that, while the latter displays a rather linear behavior with an almost constant slope as a function of B down to the Kondo scale, the DOS shift first features a slower increase reaching the same behavior as φ_B only for |g| μ_B B << k_B T_K.Our auxiliary master equation approach yields highly accurate nonequilibrium results for the DOS and for the conductance all the way from within the Kondo up to the charge fluctuation regime, showing excellent agreement with a recently introduced scheme based on a combination of numerical renormalization group with time-dependent density matrix renormalization group.

AB - We study the single-impurity Anderson model out of equilibrium under the influence of a bias voltage φ and a magnetic field B. We investigate the interplay between the shift (ω_B) of the Kondo peak in the spin-resolved density of states (DOS) and the one (φ_B) of the conductance anomaly. In agreement with experiments and previous theoretical calculations we find that, while the latter displays a rather linear behavior with an almost constant slope as a function of B down to the Kondo scale, the DOS shift first features a slower increase reaching the same behavior as φ_B only for |g| μ_B B << k_B T_K.Our auxiliary master equation approach yields highly accurate nonequilibrium results for the DOS and for the conductance all the way from within the Kondo up to the charge fluctuation regime, showing excellent agreement with a recently introduced scheme based on a combination of numerical renormalization group with time-dependent density matrix renormalization group.

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