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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.16959 |
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Table of Contents:
- Topological Josephson junctions enable nonreciprocal transport involving Majorana fermions (MFs). Here we examine a topological Josephson junction with mixed $s$+$p$-wave pairing, where topological phase transition can be driven by adjusting the ratio between the pairing components. There exist two exact symmetrically positioned zero-energy level crossings for the Andreev-bound states, which can be shifted by external fields, and can be destroyed or recreated in pairs by a time-reversal breaking Zeeman field or inhomogeneities, exhibiting band-like structure. The dependence of the shift on the Zeeman field is linear when the two $p$-wave $\boldsymbol{d}$-vectors on both sides are identical while quadratic when they are distinct. Near the topological phase transition, the topological $p$-wave dominant junctions host MF-induced pronounced superconducting diode effect with high efficiency factor $Q$ up to 30 %, in contrast to the trivial $s$-wave dominant junctions possessing relatively small $Q$.