R. Raimondi et C. Castellani, LOWER AND UPPER HUBBARD BANDS - A SLAVE-BOSON TREATMENT, Physical review. B, Condensed matter, 48(15), 1993, pp. 11453-11456
We analyze the single-particle spectral density and the optical conduc
tivity of the single-band Hubbard model in the insulating Mott phase w
ithin the slave-boson technique. We show that the boson fluctuations a
round the saddle-point solution build up the lower and upper Hubbard b
ands and give rise to the optical conductivity which describes transit
ions between these incoherent bands. We find that the Brinkman-Rice me
tal-insulator transition is characterized by the simultaneous vanishin
g of the jump in the chemical potential, the single-particle spectral
density gap, and the optical gap.