Renormalization Group Approach to the Coulomb Pseudopotential for C_{60}

Abstract

A numerical renormalization group technique recently developed by one of us is used to analyse the Coulomb pseudopotential (${\mu }^{\ast }$) in ${\mathrm{C}}_{60}$ for a variety of bare potentials. We find a large reduction in ${\mu }^{\ast }$ due to intraball screening alone, leading to an interesting non-monotonic dependence of ${\mu }^{\ast }$ on the bare interaction strength. We find that ${\mu }^{\ast }$ is positive for physically reasonable bare parameters, but small enough to make the electron-phonon coupling a viable mechanism for superconductivity in alkali-doped fullerides. We end with some open problems.

12 pages, latex, 7 figures available from [email protected]

References in corpus (6)

• Electron--Vibron Interactions and Berry Phases in Charged Buckminsterfullerene: Part I
• Electron--Vibron Interactions in Charged Buckminsterfullerene: Pair Energies and Spectra (Part II)
• Magnetic Properties of Undoped $C_{60}$
• Vibrations and Berry Phases of Charged Buckminsterfullerene
• Generalized spin density wave state of the Hubbard model on the C12 and C60 clusters
• Numerical Renormalization Group for Finite Fermi Systems

Cited by in corpus (5)

• Superconductivity in Fullerides
• Electronic Mechanism of Superconductivity in the Cuprates, C${}_{60}$, and Polyacenes
• Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
• Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade