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Published on: January 16, 2020
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Current phase relation from graphs and diagrams and application to thick ferromagnetic Josephson junctions
I Margaris1, V Paltoglou2, N Flytzanis3
1Department of Electrical and Computer Engineering, University of Thessaly, 37 Glavani 28th October Str, 38221 Volos, Magnesia, Greece.
Summary
We developed a diagrammatic method to represent the current-phase relation in Josephson junctions. This approach simplifies complex calculations and offers physical insights into supercurrent contributions.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Superconductivity
Background:
- Josephson junctions are key components in superconducting electronics.
- Understanding their current-phase relation is crucial for device applications.
- Previous methods struggled with complex junction geometries and magnetizations.
Purpose of the Study:
- To introduce a novel diagrammatic method for representing the current-phase relation in ballistic Josephson junctions.
- To apply this method to analyze thick ballistic ferromagnetic Josephson junctions with non-collinear magnetizations.
- To provide physical insights into supercurrent contributions from particle excitations.
Main Methods:
- Representing terms in the current-phase relation using combinations of diagrams.
- Expanding the logarithm of the matching condition determinant in a Taylor series.
- Identifying and tracking surviving terms that do not annihilate each other.
- Utilizing connected graphs to represent surviving terms from the determinant expansion.
Main Results:
- The method successfully generates approximations for the current-phase relation in complex Josephson junctions.
- It reveals the nature of contributions to the supercurrent from particle excitations.
- A strong second harmonic contribution to the supercurrent was observed in specific junction configurations.
Conclusions:
- The developed diagrammatic method is versatile for creating approximation schemes in Josephson junction research.
- It provides valuable physical insight into the behavior of supercurrents.
- The findings are applicable to ferromagnetic Josephson junctions with non-collinear magnetizations.
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