Surface tension and boundary conditions for superfluid Fermi liquid. Size effect and the effect of a magnetic field on the phase diagram

Very thin films ofHe3: A new phase

“…2 A second effect which is predicted to arise due to walls is the stabilization of phases of the superfluid different from those present in the bulk. 3 " 7 For the slab geometry in the weak-coupling limit, it is predicted that the A and planar phases are degenerate for film thicknesses t such that the reduced film thickness, w-t/^iT), is less than 7 (Refs. 6 and 7) and that the B phase will be stable for thicker films.…”

“…A number of possible two-dimensional phases have also been suggested for sufficiently thin films. 8 " 10 Several experimental studies on confined 3 He have been reported in the relatively simple slab or pore geometries which are most easily compared to theory. 11 " 17 Measurements to date on the suppression of T c are generally in poor quantitative agreement with the theoretical predictions of Kjaldman, Kurkijarvi, and Rainer.…”

“…The only definite identification of the phase of superfluid 3 He in a thin film comes from the work of Freeman et al I7 They found the A phase in their 0.3-jum slab for pressures between 1.5 and 22 bars at all temperatures. They attributed the absence of a phase transition from the A phase into the B phase to supercooling effects.…”

Surface spin waves in the superfluid A phase of 3He

“…nl"n2=O (2) The behavior of Aik near a plane wall was investigated by Privorotskii. 2 Using the Ginzburg-Landau expansion for the total free energy of the A phase of 3He including the surface tension, he showed that in the case of diffuse scattering of quasiparticles from the wall, the Aik is a function of z (z is the direction perpendicular to the wall).…”

“…)2 --~-~ 2(1 + iwfl)]Sl,,,y + iwwLSa,o~ + 1~ 2(1 + io.,fl)/-~ro( S a,,,y) = 0 (20) wSl,oz = iCOLSl,.y ' = x/if(T); fl~ = 4cA~y2X-I~-2(T). Equation (19) is the equation for the longitudinal mode of spin waves (SdIHo) and Eqs.…”