Vy. Krivnov et al., ELECTRONIC CORRELATION-EFFECTS IN A FULLERENE MOLECULE STUDIED BY THEVARIATIONAL MONTE-CARLO METHOD, Physical review. B, Condensed matter, 50(16), 1994, pp. 12144-12151
Electron-correlation effects in the fullerene molecule and its ions ar
e investigated in the framework of the Hubbard model. The variational
Monte Carlo method and the Gutzwiller wave function are used. Most att
ention is paid to the case of intermediate interactions, but also the
strong coupling limit, where the Hubbard model reduces to the antiferr
omagnetic Heisenberg model, is considered for the fullerene molecule.
In this case we obtain a very low variational ground state energy. Fur
ther, we have calculated the main spin correlation functions in the gr
ound state. Only short-range order is found. The pairing energy of two
electrons added to a fullerene molecule or to a fullerene ion is also
calculated. Contrary to the results obtained by second-order perturba
tion theory, pair binding is not found.