拓扑超导体作为Jackiw-Rossi和Jackiw-Rebbi模型的非相对论极限
Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
摘要：
本文讨论了二维p_x+ip_y超导体的非相对论性哈密顿量可以从相对论性Jackiw-Rossi模型出发，在大Zeeman磁场和化学势的限制下导出。特别是p_x+ip_y超导体中束缚于涡旋的费米子零模的存在，可以理解为Jackiw-Rossi模型中费米子零模的残余。在三维空间中，Jackiw-Rebbi模型的非相对论极限导致了一个“p+is”超导体，其中自旋三重态p波和自旋单重态s波配对共存。由此产生的哈密顿量支持费米子零模式时，配对间隙形成一个刺猬状的结构。我们的研究结果提供了一个统一的观点，费米子零模式在相对论（狄拉克型）和非相对论（薛定谔型）超导体。
英文摘要：
We argue that the nonrelativistic Hamiltonian of p_x+ip_y superconductor in two dimensions can be derived from the relativistic Jackiw-Rossi model by taking the limit of large Zeeman magnetic field and chemical potential. In particular, the existence of a fermion zero mode bound to a vortex in the p_x+ip_y superconductor can be understood as a remnant of that in the Jackiw-Rossi model. In three dimensions, the nonrelativistic limit of the Jackiw-Rebbi model leads to a "p+is" superconductor in which spin-triplet p-wave and spin-singlet s-wave pairings coexist. The resulting Hamiltonian supports a fermion zero mode when the pairing gaps form a hedgehoglike structure. Our findings provide a unified view of fermion zero modes in relativistic (Dirac-type) and nonrelativistic (Schrödinger-type) superconductors.
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