Abstract
A simple model for electron-vibron interactions on charged fullerenes ${\mathrm{C}}_{60}^{\mathit{n}\mathrm{\ensuremath{-}}}$, n=1,...,5, is solved both at weak and strong couplings. We consider a single ${\mathit{H}}_{\mathit{g}}$ vibrational multiplet interacting with ${\mathit{t}}_{1\mathit{u}}$ electrons. At strong coupling the semiclassical dynamical Jahn-Teller theory is valid. The Jahn-Teller distortions are unimodal for n=1,2,4,5 electrons, and bimodal for 3 electrons. The distortions are quantized as rigid-body pseudorotators which are subject to geometrical Berry phases. These impose ground-state degeneracies and dramatically change zero-point energies. Exact diagonalization shows that the semiclassical level degeneracies and ordering survive well into the weak-coupling regime. At weak coupling, we discover an enhancement factor of 5/2 for the pair binding energies over their classical values. This has potentially important implications for superconductivity in fullerides, and demonstrates the shortcoming of Migdal-Eliashberg theory for molecular crystals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.