We discuss the sine-Gordon equation describing the phase difference in a $0-\pi$ Josephson junction. Via phase plane analysis, it is shown that the time-independent equation can have semifluxons with a hump. A stability analysis to the semifluxons is performed. It is shown numerically that the presence of defects can stabilize the semifluxons.
- $0-\pi$ junctions
- Long Josephson junctions
- Sine-Gordon equation
Susanto, H., & van Gils, S. A. (2004). Semifluxons with a hump in a 0-π Josephson junction. Physica C, 408-410(10.1016/j.physc.2004.03.035), 579-580. [10.1016/j.physc.2004.03.035]. https://doi.org/10.1016/j.physc.2004.03.035