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Time-dependent density-functional theory for strongly interacting electrons

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Cort Barrada, L., Karlsson, D., Lani, G., & van Leeuwen, R. (2017). Time-dependent density-functional theory for strongly interacting electrons. Physical Review A, 95(4), Article 042505. https://doi.org/10.1103/PhysRevA.95.042505
Published in
Physical Review A
Authors
Cort Barrada, Luis |
Karlsson, Daniel |
Lani, Giovanna |
van Leeuwen, Robert
Date
2017
Discipline
Nanoscience CenterNanoscience Center
Copyright
© 2017 American Physical Society. Published in this repository with the kind permission of the publisher.

 
We consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density response function, is studied in the limit of large repulsive interactions between the electrons and we give analytical results for these quantities as an asymptotic expansion in powers of the square root of the interaction strength. We find that in the strong interaction limit the three leading terms in the expansion of the kernel act instantaneously while memory terms only appear in the next orders. We further derive an alternative expansion for the kernel in the strong interaction limit on the basis of the theory developed previously [Phys. Chem. Chem. Phys. 18, 21092 (2016)] using the formalism of strictly correlated electrons in the adiabatic approximation. We find that the first two leading terms in this series, corresponding to the strictly correlated limit and its zero-point vibration correction, coincide with the two leading terms of the exact expansion. We finally analyze the spatial nonlocality of these terms and show when the adiabatic approximation breaks down. The ability to reproduce the exact kernel in the strong interaction limit indicates that the adiabatic strictly correlated electron formalism is useful for studying the density response and excitation properties of other systems with strong electronic interactions. ...
Publisher
American Physical Society
ISSN Search the Publication Forum
2469-9926
Keywords
time-dependent density functional theory elektronit
DOI
https://doi.org/10.1103/PhysRevA.95.042505
URI

http://urn.fi/URN:NBN:fi:jyu-201705022139

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/26981097

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