Vibrations and Berry Phases of Charged Buckminsterfullerene

Abstract

A simple model of electron-vibron interactions in buckminsterfullerene ions is solved semiclassically. Electronic degeneracies of C${}_{60}$${}^{n-}$ induce dynamical Jahn-Teller distortions, which are unimodal for $n\ne 3$ and bimodal for $n=3$. The quantization of motion along the Jahn-Teller manifold leads to a symmetric-top rotator Hamiltonian. I find Molecular Aharonov-Bohm effects where electronic Berry phases determine the vibrational spectra, zero point fluctuations, and electrons' pair binding energies. The latter are relevant to superconductivity in alkali-fullerenes.

Latex 11 pages. IIT-003

References in corpus (2)

• Electron--Vibron Interactions and Berry Phases in Charged Buckminsterfullerene: Part I
• Electron--Vibron Interactions in Charged Buckminsterfullerene: Pair Energies and Spectra (Part II)

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• Enhanced Electron Pairing in a Lattice of Berry Phase Molecules
• Magnetic Excitations of Stripes and Checkerboards in the Cuprates
• Vibronic Ground-state Degeneracies and the Berry Phase: A Continuous Symmetry Perspective
• Renormalization Group Approach to the Coulomb Pseudopotential for C_{60}
• Spin waves in the block checkerboard antiferromagnetic phase
• Berry phases and pairing symmetry in Holstein-Hubbard polaron systems
• Continuous vibronic symmetries in Jahn-Teller models
• Flux Phase as a Dynamic Jahn-Teller Phase: Berryonic Matter in the Cuprates?
• Nonperturbative approach to the Hubbard model in C60 cluster
• Electronic Structure of Fullerene Anions