Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion

Kubiczek, Patryk; Rubtsov, Alexey; Lichtenstein, Alexander

doi:10.21468/SciPostPhys.7.2.016

SciPost Physics

Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion

Patryk Kubiczek, Alexey N. Rubtsov, Alexander I. Lichtenstein

SciPost Phys. 7, 016 (2019) · published 2 August 2019

doi: 10.21468/SciPostPhys.7.2.016
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Abstract

In this work we introduce a modified real-time continuous-time hybridization-expansion quantum Monte Carlo solver for a time-dependent single-orbital Anderson impurity model: CT-1/2-HYB-QMC. In the proposed method the diagrammatic expansion is performed only for one out of the two spin channels, while the resulting effective single-particle problem for the other spin is solved semi-analytically for each expansion diagram. CT-1/2-HYB-QMC alleviates the dynamical sign problem by reducing the order of sampled diagrams and makes it possible to reach twice as long time scales in comparison to the standard CT-HYB method. We illustrate the new solver by calculating an electric current through impurity in paramagnetic and spin-polarized cases.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.7.2.016
TI  - Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
PY  - 2019/08/02
UR  - https://www.scipost.org/SciPostPhys.7.2.016
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 7
IS  - 2
SP  - 016
A1  - Kubiczek, Patryk
AU  - Rubtsov, Alexey
AU  - Lichtenstein, Alexander
AB  - In this work we introduce a modified real-time continuous-time hybridization-expansion quantum Monte Carlo solver for a time-dependent single-orbital Anderson impurity model: CT-1/2-HYB-QMC. In the proposed method the diagrammatic expansion is performed only for one out of the two spin channels, while the resulting effective single-particle problem for the other spin is solved semi-analytically for each expansion diagram. CT-1/2-HYB-QMC alleviates the dynamical sign problem by reducing the order of sampled diagrams and makes it possible to reach twice as long time scales in comparison to the standard CT-HYB method. We illustrate the new solver by calculating an electric current through impurity in paramagnetic and spin-polarized cases.
ER  -

@Article{10.21468/SciPostPhys.7.2.016,
	title={{Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion}},
	author={Patryk Kubiczek and Alexey N. Rubtsov and Alexander I. Lichtenstein},
	journal={SciPost Phys.},
	volume={7},
	pages={016},
	year={2019},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.7.2.016},
	url={https://scipost.org/10.21468/SciPostPhys.7.2.016},
}

Cited by 6

Ontology / Topics

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Anderson impurity model Quantum Monte Carlo simulations

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Patryk Kubiczek,
² ³ Alexey Rubtsov,
¹ Alexander Lichtenstein

Funder for the research work leading to this publication

Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]