Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem
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 tim...
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| Format: | Article |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3732892 |
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| _version_ | 1849690447215067136 |
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| author | Arno Schindlmayr |
| author_facet | Arno Schindlmayr |
| author_sort | Arno Schindlmayr |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ebb2f58943434f29bee4f21532f666bc |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ebb2f58943434f29bee4f21532f666bc2025-08-20T03:21:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/37328923732892Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value ProblemArno Schindlmayr0Department Physik, Universität Paderborn, 33095 Paderborn, GermanyThe 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.http://dx.doi.org/10.1155/2018/3732892 |
| spellingShingle | Arno Schindlmayr Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem Advances in Mathematical Physics |
| title | Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem |
| title_full | Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem |
| title_fullStr | Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem |
| title_full_unstemmed | Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem |
| title_short | Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem |
| title_sort | exact formulation of the transverse dynamic spin susceptibility as an initial value problem |
| url | http://dx.doi.org/10.1155/2018/3732892 |
| work_keys_str_mv | AT arnoschindlmayr exactformulationofthetransversedynamicspinsusceptibilityasaninitialvalueproblem |