Phenomenological Theory of Superfluidity and Superconductivity

Abstract

Quantum condensation is used here as the basis for a phenomenological theory of superfluidity and superconductivity. It leads to remarkably good calculations of the transition temperatures T c of superfluid 3 He and 4 He, as well as a large number of cuprate, heavy fermion, organic, dichalcogenide, and bismuth oxide super- conductors. Although this approach may apply least to the long coherence length metallics, reasonably good estimates are made for them, and chevral superconductors. T c for atomic H is estimated. T c can be calculated as a function of number density or density of states, and effective mass of normal carriers; or alternatively with the Fermi energy as the only input parameter. Predictions are made for a total of 26 superconductors and 4 superfluids. An estimate is also made for coherence lengths.