On corrections in the Ginzburg-Landau equations associated with the normal component flow in a superfluid Fermi liquid with triplet p-wave pairing

The Ginzburg-Landau (GL) equation is derived for the spatially inhomogeneous order parameter (OF) of the He-3 type superfluid Fermi liquid (SFL) (composed of electrically neutral fermions with triplet p-wave pairing) for a uniform flow of the normal component of the SFL with a velocity v(n) much less than 2T(c)/p(F) (T-c is the temperature of phase transition from the normal to the superfluid state, and p(F) is the Fermi momentum). The derivation is based on the integrodifferential equation for OF, which is valid at temperatures near T-c in the absence of strong-coupling effects. The main results are the corrections for the coefficients of the OP gradients in the GL equation (caused by the fact that u(n) not equal 0), which are calculated in the perturbation theory. These corrections, which indicate the deformation of the OP due to the SFL how with the velocity u(n), can be not only comparable for v(n) much less than 2T(c)/p(F), but also greater than the so-called nontrivial strong-coupling corrections to these coefficients, depending on the value of v(n), and hence can be of practical importance for describing He-3-B at low pressures, when the strong-coupling effects are weak. (C) 1997 American Institute of Physics.