Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916039134019584 |
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| author | Lane, Christopher |
| author_facet | Lane, Christopher |
| contents | Driven by the need to understand and determine the presence of non-trivial superconductivity in real candidate materials, we present a generalized set of self-consistent Gor'kov-Hedin-Baym equations with spin dependent electron-electron and electron-phonon interactions. This extends Hedin's original equations to treat quantum many-body systems where electronic and lattice correlations along with relativistic effects coexist on the same footing with superconductivity. The leading order self-energies yields a generalization of the Migdal-Eliashberg theory and by iterating this set of equations generalized ladder vertex corrections naturally emerge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions Lane, Christopher Superconductivity Strongly Correlated Electrons Driven by the need to understand and determine the presence of non-trivial superconductivity in real candidate materials, we present a generalized set of self-consistent Gor'kov-Hedin-Baym equations with spin dependent electron-electron and electron-phonon interactions. This extends Hedin's original equations to treat quantum many-body systems where electronic and lattice correlations along with relativistic effects coexist on the same footing with superconductivity. The leading order self-energies yields a generalization of the Migdal-Eliashberg theory and by iterating this set of equations generalized ladder vertex corrections naturally emerge. |
| title | Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.07302 |