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.
Cited by 3
Michael Ridley et al., Numerically exact full counting statistics of the energy current in the Kondo regime
Phys. Rev. B 100, 165127 (2019) [Crossref]
Guy Cohen et al., Greenâ€™s function methods for single molecule junctions
J. Chem. Phys. 152, 090901 (2020) [Crossref]
Igor Krivenko et al., Dynamics of Kondo voltage splitting after a quantum quench
Phys. Rev. B 100, 201104 (2019) [Crossref]
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- 1 Patryk Kubiczek,
- 2 3 Alexey Rubtsov,
- 1 Alexander Lichtenstein
- 1 Universität Hamburg / University of Hamburg [UH]
- 2 Московский государственный университет / Moscow State University [MSU]
- 3 Международный центр квантовой оптики и квантовых технологий / Russian Quantum Center