Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
Autor: | Yu, Jiabin, Ciccarino, Christopher J., Bianco, Raffaello, Errea, Ion, Narang, Prineha, Bernevig, B. Andrei |
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Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Nat. Phys. (2024) |
Druh dokumentu: | Working Paper |
DOI: | 10.1038/s41567-024-02486-0 |
Popis: | 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. Comment: submitted on 04/14/2023; close to the published version |
Databáze: | arXiv |
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