基于$X$-波磁体的拓扑超导体和马约拉纳费米子（$X=p,d,f,g,i$）
Topological superconductors and Majorana fermions based on $X$-wave magnets with $X=p,d,f,g,i $
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中文总结 AI 辅助
本研究探讨$X$-波磁体与超导体耦合，发现交替磁体稳定D类手性拓扑超导体，奇宇称磁体稳定DIII类拓扑超导体，均产生马约拉纳费米子，其中$i$-波磁体陈数2，平带对混合稳健。
中文摘要 AI 辅助
我们研究了与$X$-波磁体（$X=p,d,f,g,i$）耦合的超导体。由于$s$-波超导体的自旋单态形成的兼容性，具有$X=d,g,i$的交替磁体与具有$X=p,f$的奇宇称磁体之间存在本质区别。交替磁体和奇宇称磁体根据磁序强度、化学势以及局域和最近邻相互作用的比值，展现出丰富的超导相图。特别是，我们发现交替磁序稳定了手性（$p_{x}+ip_{y}$）-波超导体，这是一种D类拓扑超导体，拥有马约拉纳手性边缘态，其特征由陈数表征。尤其是在$i$-波交替磁体中出现了两个手性边缘模式，其特征由陈数2表征。另一方面，$p$（$f$）-波奇宇称磁序稳定了$p$（$f$）-波拓扑超导体，这是一种DIII类拓扑超导体，拥有马约拉纳平带，其特征由绕数表征。马约拉纳平带在与$s$-波超导性混合时依然稳健，这种混合对于奇宇称磁体是不可避免的，尽管混合的幅度很小。
英文摘要
We study superconductors coupled with $X$-wave magnets with $X=p,d,f,g,i$. They are essentially different between altermagnets with $X=d,g,i$ and odd-parity magnets $X=p,f$ due to the compatibility of the spin-singlet formation of the $s$-wave superconductor. The altermagnets and odd-parity magnets show rich superconducting phase diagrams depending on the strength of the magnetic order, the chemical potential and the ratio of the on-site and nearest-neighbor interactions. Especially, we find that the altermagnetic order stabilizes the chiral ($p_{x}+ip_{y}$)-wave superconductor, which is a class D topological superconductor hosting Majorana chiral edge states. It is characterized by the Chern number. Especially, there emerge two chiral edge modes in the $i$-wave altermagnet, which are characterized by the Chern number 2. On the other hand, the $p$ ($f$)-wave odd-parity magnetic order stabilizes the $p$ ($f$)-wave topological superconductor, which is a class DIII topological superconductor hosting Majorana flat bands. It is characterized by the winding number. Majorana flat bands are robust in the presence of the mixing with the $s$-wave superconductivity, which is inevitable for odd-parity magnets although the magnitude of the mixing is tiny.
发表机构
- Department of Applied Physics, The University of Tokyo（东京大学应用物理系）
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