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We derive Ginzburg - Landau (GL) expansion in disordered attractive Hubbardmodel within the combined Nozieres - Schmitt-Rink and DMFT+Sigma approximation.Restricting ourselves to the case of homogeneous expansion, we analyze disorderdependence of GL expansion coefficients on disorder for the wide range ofattractive potentials U, from weak BCS coupling region to the strong couplinglimit, where superconductivity is described by Bose - Einstein condensation(BEC) of preformed Cooper pairs. We show, that for the case of semi - elliptic"bare" density of states of conduction band, disorder influence on GLcoefficients A and B before quadratic and fourth -- order terms of the orderparameter, as well as on the specific heat discontinuity at superconductingtransition, is of universal nature at any strength of attractive interactionand is related only to the general widening of the conduction band by disorder.In general, disorder growth increases the values of coefficients A and B,leading either to the suppression of specific heat discontinuity (in the weakcoupling limit), or to its significant growth (in the strong coupling region).However, this behavior actually confirms the validity of the generalizedAnderson theorem, as disorder dependence of superconducting criticaltemperature T_c, is also controlled only by disorder widening of conductionband (density of states).

Attractive Hubbard Model: Homogeneous Ginzburg - Landau Expansion and Disorder