Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
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Nishida-2010-Topological supercon.pdf
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Author(s)
Nishida, Yusuke
Santos, Luiz
Chamon, Claudio
Date Issued
October 2010
Journal
Physical Review B
Publisher
American Physical Society
Citation
Nishida, Yusuke, Luiz Santos, and Claudio Chamon. "Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models." Physical Review B 82.14 (2010): 144513. © 2010 The American Physical Society
Version
Final published version
Abstract
We argue that the nonrelativistic Hamiltonian of px+ipy 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 px+ipy 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.82.144513
