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Transport in unconventional superconductors: Application to liquid He3 in aerogel

Dietrich Einzel, Jeevak M. Parpia

DOI 10.1103/PhysRevB.72.214518 · Physical Review B

T1

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Abstract

We consider quite generally the transport of energy and momentum in unconventional superconductors and Fermi superfluids to which both impurity scattering (treated within the t-matrix approximation) and inelastic scattering contributes. A new interpolation scheme for the temperature dependence of the transport parameters is presented which preserves all analytical results available for T→0 and T→Tc and allows for a particularly transparent physical representation of the results. The two scattering processes are combined using Matthiessen’s rule coupling. This procedure is applied for the first time to He3−B in aerogel. Here, at the lowest temperatures, a universal ratio of the thermal conductivity and the shear viscosity is found in the unitary limit, which is akin to the Wiedemann-Franz law.

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FormulaReported Tc (K)Pressure (GPa)Type
Sr2RuO4

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—Pressure not reportedunknown

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