Effective Landau theory for disordered interacting electron systems: Specific-heat behavior

The frequency renormalization parameter of the generalized nonlinear σ model introduced to describe the interacting disordered electron system is identified in terms of the specific heat. This allows us to complete the effective Landau Fermi-liquid picture for this system and to give the asymptotic behavior of the electronic specific heat in the various universality classes of the metal-insulator transition.