期刊
PHYSICAL REVIEW B
卷 106, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.106.014522
关键词
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资金
- JSPS Fellowship for Young Scientists
- JST CREST, Japan [JPMJCR19T5]
- JSPS of Japan [JP20H05163, JP22H04480]
- JSPS KAKENHI [JP20K03860, JP20H01857, JP21H01039, JP22H01221]
In this study, we investigate the non-Abelian statistics of Majorana-Kramers pairs (MKPs) in a network system of one-dimensional time-reversal invariant topological superconductors. Through numerical simulations, we examine the tolerance against various perturbations that may cause decoherence of MKPs. The study reveals that the non-Abelian braiding of MKPs is robust against applied magnetic fields and gate-induced inhomogeneous potentials, under certain conditions.
We investigate non-Abelian statistics of Majorana-Kramers pairs (MKPs) in a network system of onedimensional time-reversal invariant topological superconductors by using numerical simulations of braiding dynamics and examine the tolerance against various perturbations which may cause decoherence of MKPs. We, first, consider effects of a magnetic field which breaks time-reversal symmetry. In contrast to a naive expectation, the non-Abelian braiding of MKPs is robust against applied magnetic fields provided that the initial and final states of a braiding process are invariant under the combination of a time reversal and a mirror reflection, even when intermediate states break the combined symmetry. Second, we investigate the stability of non-Abelian braidings in the case with gate-induced inhomogeneous potentials at junctions between superconducting nanowires, which generally generate a non-Majorana nearly zero-energy Andreeev bound state at the junctions. It is found that the non-Majorana nearly zero-energy states interfere with MKPs, resulting in the failure of non-Abelian braidings, when the length scale of the inhomogeneous potentials is comparable to the coherence length of the superconductors.
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