论文标题
从拓扑界面上的自旋纹理诱导的拓扑纹理引起的拓扑超导体从$ p $ - 波 - 波超导体引起的剪裁相过渡
Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
论文作者
论文摘要
从理论上讲,我们研究了从非平凡拓扑$ p $ - 波超导体到琐碎的$ s $ - 像超导相一样的琐事$ s $ wave的相变,这是通过无间隙阶段的,由不同的磁纹理驱动,作为一维旋转杂质的磁性质地,例如。 Bloch-type, in-plane and out-of-plane Néel-type spin-chains etc. In our proposal, the chain of magnetic impurities is placed on a spin-triplet $p$-wave superconductor where we obtain numerically as well as analytically an effective $s$-wave like pairing due to spin rotation, resulting in gradual destruction of the Majorana zero modes present in the topological superconducting phase.特别是,当杂质旋转是抗铁磁性对齐时,即螺旋波矢量$ g_ {s} =π$,系统将成为一个有效的$ s $ - 波 - 波超导体,没有局部局部密度的没有Majorana零模式。另一方面,由于yu-shiba-rusinov状态的重叠在这种拓扑至琐碎的超导体相变中,shiba带的形成了至关重要的作用,这通过shiba频段中的微型板的符号变化证实。我们还通过间隙截止和绕组数分析来表征这种拓扑相变。此外,在超导间隙中表现出振荡行为的干扰,$-Δ_{p} $ to $δ_{p} $作为$ g_ {s} $的函数,也反映了有效$ s $ s $ - wave配对的形成的重要证据。在$ P $ - 波浪制度中,这种振荡不存在。
We theoretically investigate the phase transition from a non-trivial topological $p$-wave superconductor to a trivial $s$-wave like superconducting phase through a gapless phase, driven by different magnetic textures as an one-dimensional spin-chain impurity, e.g. Bloch-type, in-plane and out-of-plane Néel-type spin-chains etc. In our proposal, the chain of magnetic impurities is placed on a spin-triplet $p$-wave superconductor where we obtain numerically as well as analytically an effective $s$-wave like pairing due to spin rotation, resulting in gradual destruction of the Majorana zero modes present in the topological superconducting phase. In particular, when the impurity spins are antiferromagnetically aligned i.e. spiral wave vector $G_{s}=π$, the system becomes an effective $s$-wave superconductor without Majorana zero modes in the local density of states. The Shiba bands, on the other hand, formed due to the overlapping of Yu-Shiba-Rusinov states play a crucial role in this topological to trivial superconductor phase transition, confirmed by the sign change in the minigap within the Shiba bands. We also characterize this topological phase transition via gap closing and winding number analysis. Moreover, interference of the Shiba bands exhibiting oscillatory behavior within the superconducting gap, $-Δ_{p}$ to $Δ_{p}$, as a function of $G_{s}$, also reflects an important evidence for the formation of an effective $s$-wave pairing. Such oscillation is absent in the $p$-wave regime.