论文标题

分数约瑟夫森效应的生存在时间反转拓扑超导体中

Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors

论文作者

Knapp, Christina, Chew, Aaron, Alicea, Jason

论文摘要

时间反向不变的拓扑超导体(TRITOPS)电线托有Majoraka Kramers对,预测在超导相位差异中介导了分数Josephson效应,其周期性为$4π$。在存在时间依赖性的“局部混合”扰动的情况下,我们探索了Tritops分数Josephson的效应,这些扰动即时保留了时间反向对称性。具体而言,我们表明,这种耦合使Majorana Kramers成对的编织构成了非宇宙的编织,Josephson电流变成了Aperiodic或$2π$ - 周期性(取决于我们量化的条件),除非相位差异足够快地扫描。我们进一步分析了使用$ \ Mathcal {t}^2 = +1 $ time-vers-ververs-tress对称性的拓扑超导体,并揭示了可以在纳米线阵列中实验探测的相互作用和局部混合之间的丰富相互作用。

Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana Kramers pairs that have been predicted to mediate a fractional Josephson effect with $4π$ periodicity in the superconducting phase difference. We explore the TRITOPS fractional Josephson effect in the presence of time-dependent `local mixing' perturbations that instantaneously preserve time-reversal symmetry. Specifically, we show that just as such couplings render braiding of Majorana Kramers pairs non-universal, the Josephson current becomes either aperiodic or $2π$-periodic (depending on conditions that we quantify) unless the phase difference is swept sufficiently quickly. We further analyze topological superconductors with $\mathcal{T}^2 = +1$ time-reversal symmetry and reveal a rich interplay between interactions and local mixing that can be experimentally probed in nanowire arrays.

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