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

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

2010-07-13

arxiv.org/abs/1007.2201v2

Phys.Rev.B82:144513,2010

Physics

Condensed Matter

Superconductivity

7 pages, no figure; published version

Scientific paper

10.1103/PhysRevB.82.144513

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 (Schr\"odinger-type) superconductors.

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