Mass enhancement close to a Mott transition

We investigate Gutzwiller’s solution of the half-filled-band Hubbard model using the theory of quantum critical phenomena. We identify the dynamical exponent z implicit in this solution and relate the exponents characterizing the critical behavior of the effective mass, susceptibility, and compressibility close to the metal-insulator transition to the usual exponents associated with a continuous zero-temperature phase transition. We derive the scaling of the quantity Z which gives the discontinuity of the momentum distribution at the Fermi surface.