Quasiparticle Scattering Model for Interpreting the Wigner Solid Resistivity on the Surface of Superfluid ³He

Abstract

A quasiparticle scattering model developed by Monarkha and Kono is explored further to include magnetic field effects on superfluid ³He. It successfully explains the absence of magnetic field effects in superfluid ³He-A and normal ³He. Both an explicit magnetic-field-dependent term in the Bogoliubov quasiparticle energy and the distortion of energy gap are the origin of anisotropic properties of superfluid ³He-B in magnetic field. In order to quantitatively compare the model with experimental observation, the energy gap distortion has been numerically evaluated by taking into account Landau’s Fermi liquid effect up to F₀^a. The Leggett rotation is considered in an ad hoc fashion in ³He-B. The experimental data can be satisfactorily interpreted by assuming that the rotation considered to be realized only in the vicinity of the free surface extends to the bulk. The numerical value of the Landau parameter is important in obtaining quantitative agreement. This might provide a new experimental possibility for determining Landau parameters under zero pressure.