Landau Ginzburg theory of the d-wave Josephson junction
Stellan Östlund
DOI 10.1103/PhysRevB.58.R14757 · Physical Review B
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Abstract
This paper discusses the Landau Ginzburg theory of a Josephson junction composed of on one side a pure d-wave superconductor oriented with the (110) axis normal to the junction and on the other side either s wave or d wave oriented with (100) normal to the junction. We use simple symmetry arguments to show that the Josephson current as a function of the phase must have the form j(φ)=j1sin(φ)+j2sin(2φ). In principle j1 vanishes for a perfect junction of this type, but anisotropy effects, either due to a-b axis asymmetry or junction imperfections, can easily cause j1/j2 to be quite large even in a high quality junction. If j1/j2 is sufficiently small and j2 is negative, local time-reversal symmetry breaking will appear. Arbitrary values of the flux would then be pinned to corners between such junctions and occasionally on junction faces, which is consistent with experiments by Kirtley et al. [J. Kirtley et al., Phys. Rev. B 51, 12 057 (1995)].
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