Properties of Many-Polaron in Fractional Dimensional Space
  Polaron binding energy and effective mass are calculated in the fractional-dimensional space approach using the second-order perturbation theory. The effect of carrier density on the static screening correction of the electron-phonon interaction is calculated using the Hubbard's local field factor. It is found that the effective mass and the binding energy both decrease with increase in doping. 
Krushna Mohan Mohapatra, Birendra Kumar Panda
cond-mat.str-el