Comment on "Towards exact solutions for the superconducting $T_c$ induced by electron-phonon interaction"
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913444380278784 |
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| author | Palle, Grgur |
| author_facet | Palle, Grgur |
| contents | In a series of recent articles, Liu, Yang, Pan, et al. claim to have determined the exact dressed electron-boson vertex for a number of very general interacting many-body problems by inverting certain Ward-Takahashi identities. Here, we point out that their Ward-Takahashi identities are missing terms which make the inversion of the identities impossible. One therefore cannot formulate exact self-contained integral equations for the dressed electron propagator. In addition, the proposed vertex expressions do not reproduce well-established results for the leading perturbative corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comment on "Towards exact solutions for the superconducting $T_c$ induced by electron-phonon interaction" Palle, Grgur Superconductivity In a series of recent articles, Liu, Yang, Pan, et al. claim to have determined the exact dressed electron-boson vertex for a number of very general interacting many-body problems by inverting certain Ward-Takahashi identities. Here, we point out that their Ward-Takahashi identities are missing terms which make the inversion of the identities impossible. One therefore cannot formulate exact self-contained integral equations for the dressed electron propagator. In addition, the proposed vertex expressions do not reproduce well-established results for the leading perturbative corrections. |
| title | Comment on "Towards exact solutions for the superconducting $T_c$ induced by electron-phonon interaction" |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2404.02918 |