Critical currents in Josephson junctions, with unconventional pairing symmetry: $d_{x^2-y^2}+is$ versus $d_{x^2-y^2}+id_{xy}$

Details Critical currents in Josephson junctions, with unconventional pairing symmetry: $d_{x^2-y^2}+is$ versus $d_{x^2-y^2}+id_{xy}$ Critical currents in Josephson junctions, with unconventional pairing symmetry: $d_{x^2-y^2}+is$ versus $d_{x^2-y^2}+id_{xy}$

2000-04-25

arxiv.org/abs/cond-mat/0004420v2

Phys. Rev. B, 64 (2001) 024527

Physics

Condensed Matter

Superconductivity

11 pages with 11 figures, Changed content

Scientific paper

10.1103/PhysRevB.64.024527

Phenomenological Ginzburg-Landau theory is used to calculate the possible spontaneous vortex states that may exist at corner junctions of $d_{x^2-y^2}+ix$-wave, (where $x=s$ or $x=d_{xy}$) and s-wave superconductors. We study the magnetic flux and the critical current modulation with the junction orientation angle $\theta$, the magnitude of the order parameter, and the magnetic field $H$. It is seen that the critical current $I_c$ versus the magnetic flux $\Phi$ relation is symmetric / asymmetric for $x=d_{xy}/s$ when the orientation is exactly such that the lobes of the dominant $d_{x^2-y^2}$-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 $I_c(\Phi)$ relation may distinguish which symmetry ($d_{x^2-y^2}+is$ or $d_{x^2-y^2}+id_{xy}$) the order parameter has.

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