Abstract
We discuss the weak-coupling BCS theory of the heavy fermion superconductor UPt 3 , accounting for that system's anisotropic, multisheeted Fermi surface by expanding the order parameter and pair potential in terms of appropriate basis functions of the irreducible representations of the D 6h crystal point group. Within a phenomenological model for the electronic structure of UPt 3 chosen to capture the qualitative features of local density functional calculations and de Haas–van Alphen measurements, we show how Fermi surface anisotropy can favor pairing in certain symmetry classes, and influence the phase diagram of unconventional superconductors. We also calculate the Ginzburg–Landau coefficients, focussing on those coefficients relevant to current theories of the UPt 3 phase diagram.
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