Magnetic response and fractional statistics in the infinite-range Hubbard model

Abstract We report magnetic properties of a Hubbard-like model with infinite-range Coulomb repulsion, that can be mapped onto an ideal gas of three species of particles obeying fractional exclusion statistics. This model is exactly solvable in any dimension and exhibits a quantum (metal–insulator) phase transition. We demonstrate that the metallic phases exhibit non-Fermi liquid properties. The effective mass and the thermal mass are different. The Pauli spin susceptibility is supressed and a dominant Curie response shows up.