Pairing theories in very high magnetic fields: Effects of condensed and non-condensed pairs

Physics – Condensed Matter – Superconductivity

Scientific paper

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5 pages, 3 figures

Scientific paper

We show how the high magnetic field Gor'kov theory of superconductivity with only intra-Landau level pairing leads generally to a closed-form, solvable set of equations. Importantly, these nonlinear equations can be extended to include pseudogap effects deriving from non-condensed pairs in the presence of a stronger-than-BCS attraction (a "BCS-BEC crossover" approach). We identify the fermionic pairing states associated with an Abrikosov lattice in real and reciprocal space and show that both lead to gapless excitations. Their presence, demonstrated in local density of states plots, may enable our understanding of puzzling superconducting magnetic oscillation experiments.

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