Electrical properties of Superfluid helium

[Mu naught]

I know there is a connection with the thermal conductive properties of a material and the electrical conductive properties, so I'm curious as to the electrical conductivity of superfluid helium (below the lambda point).

 

[DrDu]

I fear this connection between the thermal and electrical conductive properties (the Wiedemann Franz law) only holds for metals where thermal conductivity is dominated by the contribution of the electrons. Helium, superfluid or not, is a very good insulator.