| Description |
Liquid $^3$He undergoes a superfluid transition to a p-wave pairing state at millikelvin temperatures. When $^3$He is filled into highly porous silica aerogel, a system of impure unconventional superfluid is realised. The effect of the aerogel on $^3$He has been studied extensively both experimentally and theoretically. I will give a historical review of the major developments in the study of this system. The order parameter of superfluid $^3$He is considered a paradigm for unconventional pairing due to its rich symmetry structure. The effects of disorder on this order parameter are drastic and significant. On the other hand, the effect of the aerogel structure on the Landau Fermi liquid state of normal $^3$He is also very interesting. I will talk about my calculations of magnetisation and transport in the normal and superfluid states.
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