Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917676739198976 |
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| author | Yu, Jiabin Ciccarino, Christopher J. Bianco, Raffaello Errea, Ion Narang, Prineha Bernevig, B. Andrei |
| author_facet | Yu, Jiabin Ciccarino, Christopher J. Bianco, Raffaello Errea, Ion Narang, Prineha Bernevig, B. Andrei |
| contents | The coupling of electrons to phonons (electron-phonon coupling) is crucial for the existence of various phases of matter, in particular superconductivity and density waves. Here, we devise a theory that incorporates the quantum geometry of the electron bands into the electron-phonon coupling, demonstrating the crucial contributions of the Fubini-Study metric or its orbital selective version to the dimensionless electron-phonon coupling constant. We apply the theory to two materials, graphene and MgB$_2$ where the geometric contributions account for approximately 50\% and 90\% of the total electron-phonon coupling constant, respectively. The quantum geometric contributions in the two systems are further bounded from below by topological contributions. Our results suggest that the nontrivial electron band geometry/topology might favor superconductivity with relatively high critical temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02340 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling Yu, Jiabin Ciccarino, Christopher J. Bianco, Raffaello Errea, Ion Narang, Prineha Bernevig, B. Andrei Superconductivity Mesoscale and Nanoscale Physics Materials Science The coupling of electrons to phonons (electron-phonon coupling) is crucial for the existence of various phases of matter, in particular superconductivity and density waves. Here, we devise a theory that incorporates the quantum geometry of the electron bands into the electron-phonon coupling, demonstrating the crucial contributions of the Fubini-Study metric or its orbital selective version to the dimensionless electron-phonon coupling constant. We apply the theory to two materials, graphene and MgB$_2$ where the geometric contributions account for approximately 50\% and 90\% of the total electron-phonon coupling constant, respectively. The quantum geometric contributions in the two systems are further bounded from below by topological contributions. Our results suggest that the nontrivial electron band geometry/topology might favor superconductivity with relatively high critical temperature. |
| title | Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling |
| topic | Superconductivity Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2305.02340 |