Abstract
Fullerene-based solids are known to undergo a range of structural, orientational, magnetic, and superconducting phase transitions. One important factor in many of these phase transitions is a combination of intramolecular and intermolecular vibronic couplings. The former can be described in terms of an on-site Jahn-Teller effect, while the latter can be described as a cooperative Jahn-Teller effect. We will look at the Jahn-Teller effects applicable to all negatively charged states of fullerene ions to show that, depending on the values of the vibronic coupling strengths, cooperative distortions can result in individual ${\mathrm{C}}_{60}$ molecules being distorted in the same or opposite sense to their nearest neighbors. More complicated phases can also occur under certain coupling conditions, particularly when symmetry-lowering distortions are present. This opens the possibility that new states of fullerene solids could be observed experimentally in the future.
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