Abstract
The superflow of 3He in thin films on rough surfaces is studied using the formalism of microscopic theory. The gap equation is solved and the free energy and the superflow are calculated for three two-dimensional states that may exist in films with thickness d approximately xi 0. In the absence of flow the two-dimensional B state and the two-dimensional A state are degenerate and energetically more favourable than other two-dimensional states. In the presence of flow the two-dimensional A state has the lowest energy. For increasing superflow there occurs a transition from the two-dimensional A state to the two-dimensional polar state. The order of this transition depends on temperature and the strength of pair breaking on the surface. The theory is compared with recent experimental results.
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