Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models

Article

关键词: QUANTIZED HALL CONDUCTANCE;    RELATIVISTIC FRAMEWORK;    MICROSCOPIC THEORIES;    ZERO MODES;    FERMION;    INVARIANT;    VORTICES;    EQUATION;    SYSTEM;   

DOI  :  10.1103/PhysRevB.82.144513

来源: SCIE

【 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 (Schrodinger-type) superconductors.

【 授权许可】

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