Magnetism and pairing in a C6o molecule: a variational Monte Carlo study

The ground-state properties of electrons in the C60 geometry is studied based on the t-J-like Hamiltonian. By using a variational Monte Carlo method, it is found that the Gutzwiller projected Fermi-sea state and the pure RVB state have the lowest variational energies in the undoped case as compared to other spin singlet states. For a doped C60 molecule, the electron pairing and itinerant ferromagnetism are discussed. A comparison with related works is also presented.