Current Phase Relation in a Short Clean Josephson Junction Model: Application to MgB2
Journal Article - Open Access
MASSACHUSETTS INST OF TECH LEXINGTON LEXINGTON United States
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Motivated by recent data on high-quality MgB2 thin films implying that the smaller energy gap has l6 i-wave symmetry, we consider a simple model for an all-MgB2 symmetric Josephson JunctionJJ. The model assumes an arbitrary-strength delta-function barrier and one-dimensional current conduction. It is shown that in this context a nodal energy gap with i-wave symmetry acts as anisotropic energy gap s-wave with an amplitude modified by the energy-gap misalignment-angle with respect to the crystal principal axes. The corresponding exact Greens function in momentum space is derived employing a novel approach. The ensuing current-phase relations in the strong and weak barrier-strengths limits are calculated and found to confirm known results, e.g., the Ambegaokar-Baratoff current-phase relation. Inspired by an HTS experiment that established the d-wave energy gap symmetry, we propose a JJ-related experiment with aMgB2 bicrystal to confirm our premise that the smaller energy has i-wave symmetry.
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- Solid State Physics