Basic Connection between Superconductivity and Superfluidity
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A basic and inherently simple connection is shown to exist between superconductivity and superfluidity. It is shown here that the author's previously derived general equation which agrees well with the superconducting transition temperatures for the heavy-electron superconductors, metallic superconductors, oxide supercon- ductors, metallic hydrogen, and neutron stars, also works well for the superfluid transition temperature of 2.6 mK for liquid 3He. Reasonable estimates are made from 10^-3 K to 10^9K -- a range of 12 orders of magnitude. The same paradigm applies to the superfluid transition temperature of liquid 4He, but results in a slightly different equation. The superfluid transition temperature for dilute solutions of 3He in superfluid 4He is estimated to be ~ 1 to 10mK. This paradigm works well in detail for metallic, cuprate, and organic superconductors.
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