State-Interaction Approach for g-Matrix Calculations in TDDFT: Ground-Excited State Couplings and beyond First-Order Spin–Orbit Effects
Year: 2025
Type: article
Abstract: High Resolution Image Download MS PowerPoint Slide We introduce a state-interaction approach for computing g -matrices within time-dependent density functional theory (TDDFT) and the Tamm–Dancoff approximation (TDA), applied here for the first time. This method provides a detailed understanding of g -shifts by explicitly accounting for spin–orbit couplings (SOC) and excitation energies, enabling the analysis of different SOC orders and their contributions. To evaluate its accuracy and reliability, we compare state-interaction TDDFT and TDA with the widely used one-component coupled-perturbed Kohn–Sham approach. Applications to a diverse set of systems, including light and heavy atom molecules as well as transition-metal complexes, demonstrate that both methods yield comparable results in the absence of heavy elements, while the state-interaction approach offers improved insights into SOC effects and their impact on g -shifts.
Authors: Antonio Cebreiro-Gallardo, David Casanova
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,500
Funders: Ministerio de Ciencia, Innovación y Universidades, Hezkuntza, Hizkuntza Politika Eta Kultura Saila, Eusko Jaurlaritza, European Commission, Eusko Jaurlaritza, Ikerbasque, Basque Foundation for Science, Diputación Foral de Gipuzkoa, European Regional Development Fund, Agencia Estatal de Investigación, NextGenerationEU
OpenAlex ID: W4411429413
