C. Malyshev, A NEW REPRESENTATION FOR THE SUPERCURRENT IN HE-3-A AND ITS ZERO-TEMPERATURE LIMIT, Physica. B, Condensed matter, 210(3-4), 1995, pp. 359-365
A new representation for the thermal Green's function of He-3-A is der
ived in order to calculate a general expression for the corresponding
supercurrent at an arbitrary temperature. Expansion of this general ex
pression in the orbital vector gradients is considered at zero tempera
ture; the widely accepted first-order contribution with the anomalous
part and the second-order corrections to it are obtained, thus confirm
ing the existence of the anomalous current at zero temperature.