Impact of Retardation in the Holstein-Hubbard Model: a two-site Calculation
Abstract
Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. However, when a direct Coulomb interaction between two electrons is also present, this interaction is only partially accounted for. In this work we use a well-defined Hamiltonian, the Hubbard-Holstein model, to examine this competition more rigorously, using exact diagonalization on a two-site system. We find that the direct electron-electron repulsion between two electrons has a significantly more harmful effect on pairing than suggested through the standard treatment of this interaction.
Keywords
Cite
@article{arxiv.2205.10352,
title = {Impact of Retardation in the Holstein-Hubbard Model: a two-site Calculation},
author = {F. Marsiglio},
journal= {arXiv preprint arXiv:2205.10352},
year = {2022}
}
Comments
10 pages, 5 figures, critical examination of the pseudopotential effect in electron-phonon superconductors