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Critical currents in Josephson junctions with unconventional pairing symmetry: dx2−y2+is versus dx2−y2+idxy

N. Stefanakis, N. Flytzanis

DOI 10.1103/PhysRevB.64.024527 · Physical Review B

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Abstract

Phenomenological Ginzburg-Landau theory is used to calculate the possible spontaneous vortex states that may exist at corner junctions of dx2−y2+ix-wave (where x=s or x=dxy) and s-wave superconductors. We study the magnetic flux and the critical current modulation with the junction orientation angle θ, the magnitude of the order parameter, and the magnetic field H. It is seen that the critical current Ic versus the magnetic flux Φ relation is symmetric/asymmetric for x=dxy/s when the orientation is exactly such that the lobes of the dominant dx2−y2-wave order parameter points towards the two junctions, which are at right angles for the corner junction. The conclusion is that a measurement of the Ic(Φ) relation may distinguish which symmetry (dx2−y2+is or dx2−y2+idxy) the order parameter has.

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