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

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+...

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Bibliographic Details
Published in:Physical Review B
Main Authors: Nishida, Yusuke, Santos, Luiz, Chamon, Claudio
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics, Massachusetts Institute of Technology. Department of Physics
Format: Article in Journal/Newspaper
Language:English
Published: American Physical Society 2010
Subjects:
IPY
Online Access:http://hdl.handle.net/1721.1/60678
Description
Summary: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. United States. Dept. of Energy (DE-FG02-94ER40818) United States. Dept. of Energy (DEF-06ER46316) Massachusetts Institute of Technology. Dept. of Physics. Pappalardo Program

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