Current Phase Relation in a Short Clean Josephson Junction Model: Application to MgB2
Abstract
Motivated by recent data on high-quality MgB2 thin films implying that the smaller energy gap has l=6 (i-wave) symmetry, we consider a simple model for an all-MgB2 symmetric Josephson Junction(JJ). 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 18, 2020
- Accession Number
- AD1105508
Entities
People
- D.E. Oates
- Y. D. Agassi
Organizations
- Massachusetts Institute of Technology