Dynamics of the Anderson impurity model: Benchmarking a nonadiabatic exchange-correlation potential in time-dependent density-functional theory
Journal article, 2019

In this comparative study we benchmark a recently developed nonadiabatic exchange-correlation potential within time-dependent density-functional theory (TDDFT) [Phys. Rev. Lett. 120, 157701 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.157701] by (a) validating the transient dynamics using a numerically exact density-matrix renormalization-group approach as well as by (b) comparing the RC time, a typical linear-response quantity, to up to second-order perturbation theory results. As a test bed we use the dynamics of the single-impurity Anderson model. These benchmarks show that the nonadiabatic potential yields quantitatively accurate results for the transient dynamics for temperatures of the order of the hybridization strength, while the TDDFT RC times quantitatively agree with those from second-order perturbation theory for temperatures which are large compared to the hybridization strength. Both results are particularly intriguing given the relatively low numerical cost of a TDDFT calculation.


Niklas Dittmann

RWTH Aachen University

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Nicole Helbig

University of Liège

RWTH Aachen University

Dante M. Kennes

Freie Universität Berlin

Physical Review B

24699950 (ISSN) 24699969 (eISSN)

Vol. 99 7 075417

Subject Categories

Applied Mechanics

Other Physics Topics

Theoretical Chemistry



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