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
Rok vydání:	2023
Předmět:	Condensed Matter - Superconductivity Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Materials Science
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
Externí odkaz:	http://arxiv.org/abs/2305.02340 Zobrazit plný text záznamu View this record from Arxiv