Fractional statistics and quantum scaling properties of the Hubbard chain with bond-charge interaction

We present a detailed study of the ground state and low-temperature properties of the integrable Hubbard model with bond-charge interaction, including its conducting properties and scaling behavior near the U-driven quantum phase transitions. Remarkably, the model displays fractional statistical properties, which enlighten the nature of various physical properties, such as the fractional elementary excitations, and give rise to a disordered condensate and phase separation in k space, as well as to a topological change in the generalized Fermi surface at half filling.