Strongly correlated fermions on a kagome lattice

Abstract
We study a model of strongly correlated spinless fermions on a kagome lattice at 1/3 filling with interactions described by an extended Hubbard Hamiltonian. An effective Hamiltonian in the desired strong correlation regime is derived, from which the spectral functions are calculated by means of exact diagonalization techniques. We present our numerical results with a view to discussion of possible signatures of confinement/deconfinement of fractional charges.