Josephson Diode Effect in Topological Superconductor

Abstract

We investigate the Josephson diode effect (JDE) in topological Josephson junctions. By both analytic and numerical calculations, we find that while a Josephson junction in the topological phase may exhibit higher diode efficiency compared to that in the trivial phase, this behavior is not universal. The presence of Majorana bound states is not a sufficient condition for a large diode effect. Furthermore, the diode efficiency undergoes substantial changes only in specific regions along the topological phase transition boundary, and a significant diode effect does coincide with the topological phases. Thereby our paper suggests the utilization of topological superconductivity for enhanced JDE, and also the Josephson diode effect may serve as an indicator for topological superconductor phase. These results suggest a nuanced relationship between the topological aspects of Josephson junctions and Josephson diode effect.

8 pages, 3 figures

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• Josephson diode effect with Andreev and Majorana bound states
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• Optimizing one dimensional superconducting diodes: Interplay of Rashba spin-orbit coupling and magnetic fields
• Transverse Josephson diode effect in tilted Dirac systems
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Nonreciprocal Equilibrium Josephson Effect of Arbitrary Periodicity from Poor Man's Majorana Zero Modes
• Giant and robust Josephson diode effect in multiband topological nanowires