Many-Body Correlation Effects in Fröhlich Electron-Phonon Coupling
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arXiv
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| Format: | Preprint |
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2025
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| author | Zhu, Zien Hsu, Chih-En Zhang, Benran Zheng, Zhenfa Del Ben, Mauro Alvertis, Antonios M. Hsueh, Hung-Chung Li, Zhenglu |
| author_facet | Zhu, Zien Hsu, Chih-En Zhang, Benran Zheng, Zhenfa Del Ben, Mauro Alvertis, Antonios M. Hsueh, Hung-Chung Li, Zhenglu |
| contents | In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fröhlich interaction. Modern first-principles electron-phonon calculations treat the Fröhlich interaction in a semiclassical electrostatic formalism based on density-functional perturbation theory. Here, using many-body $GW$ perturbation theory, we reveal important electron correlation effects in the Fröhlich-type electron-phonon coupling, which are missed by the prevailing approaches. Going beyond the electrostatic treatment, we derive and implement the $GW$ self-energy contribution to the long-range polar electron-phonon coupling, and demonstrate its critical role and nontrivial behaviors in properties such as electron linewidth and polaron formation. Our work establishes the many-body generalization of the Fröhlich interaction that is essential for accurate electron-phonon calculations at the full $GW$ level combined with Wannier interpolation techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12479 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Many-Body Correlation Effects in Fröhlich Electron-Phonon Coupling Zhu, Zien Hsu, Chih-En Zhang, Benran Zheng, Zhenfa Del Ben, Mauro Alvertis, Antonios M. Hsueh, Hung-Chung Li, Zhenglu Materials Science In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fröhlich interaction. Modern first-principles electron-phonon calculations treat the Fröhlich interaction in a semiclassical electrostatic formalism based on density-functional perturbation theory. Here, using many-body $GW$ perturbation theory, we reveal important electron correlation effects in the Fröhlich-type electron-phonon coupling, which are missed by the prevailing approaches. Going beyond the electrostatic treatment, we derive and implement the $GW$ self-energy contribution to the long-range polar electron-phonon coupling, and demonstrate its critical role and nontrivial behaviors in properties such as electron linewidth and polaron formation. Our work establishes the many-body generalization of the Fröhlich interaction that is essential for accurate electron-phonon calculations at the full $GW$ level combined with Wannier interpolation techniques. |
| title | Many-Body Correlation Effects in Fröhlich Electron-Phonon Coupling |
| topic | Materials Science |
| url | https://arxiv.org/abs/2512.12479 |