--- _id: '18466' abstract: - lang: eng text: The transverse dynamic spin susceptibility is a correlation function that yields exact information about spin excitations in systems with a collinear magnetic ground state, including collective spin-wave modes. In an ab initio context, it may be calculated within many-body perturbation theory or time-dependent density-functional theory, but the quantitative accuracy is currently limited by the available functionals for exchange and correlation in dynamically evolving systems. To circumvent this limitation, the spin susceptibility is here alternatively formulated as the solution of an initial-value problem. In this way, the challenge of accurately describing exchange and correlation in many-electron systems is shifted to the stationary initial state, which is much better understood. The proposed scheme further requires the choice of an auxiliary basis set, which determines the speed of convergence but always allows systematic convergence in practical implementations. article_number: '3732892' article_type: original author: - first_name: Arno full_name: Schindlmayr, Arno id: '458' last_name: Schindlmayr orcid: 0000-0002-4855-071X citation: ama: Schindlmayr A. Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem. Advances in Mathematical Physics. 2018;2018. doi:10.1155/2018/3732892 apa: Schindlmayr, A. (2018). Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem. Advances in Mathematical Physics, 2018. https://doi.org/10.1155/2018/3732892 bibtex: '@article{Schindlmayr_2018, title={Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem}, volume={2018}, DOI={10.1155/2018/3732892}, number={3732892}, journal={Advances in Mathematical Physics}, publisher={Hindawi}, author={Schindlmayr, Arno}, year={2018} }' chicago: Schindlmayr, Arno. “Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem.” Advances in Mathematical Physics 2018 (2018). https://doi.org/10.1155/2018/3732892. ieee: A. Schindlmayr, “Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem,” Advances in Mathematical Physics, vol. 2018, 2018. mla: Schindlmayr, Arno. “Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem.” Advances in Mathematical Physics, vol. 2018, 3732892, Hindawi, 2018, doi:10.1155/2018/3732892. short: A. Schindlmayr, Advances in Mathematical Physics 2018 (2018). date_created: 2020-08-27T19:18:34Z date_updated: 2022-01-06T06:53:33Z ddc: - '530' department: - _id: '296' doi: 10.1155/2018/3732892 external_id: isi: - '000422773000001' file: - access_level: open_access content_type: application/pdf creator: schindlm date_created: 2020-08-28T09:18:25Z date_updated: 2020-08-30T14:31:38Z description: Creative Commons Attribution 4.0 International Public License (CC BY 4.0) file_id: '18537' file_name: 3732892.pdf file_size: 294410 relation: main_file title: Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem file_date_updated: 2020-08-30T14:31:38Z has_accepted_license: '1' intvolume: ' 2018' isi: '1' language: - iso: eng oa: '1' publication: Advances in Mathematical Physics publication_identifier: eissn: - 1687-9139 issn: - 1687-9120 publication_status: published publisher: Hindawi quality_controlled: '1' status: public title: Exact formulation of the transverse dynamic spin susceptibility as an initial-value problem type: journal_article user_id: '458' volume: 2018 year: '2018' ...