Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
By Masatoshi Sato, Y. Takahashi, Satoshi Fujimoto. 2010
173 citations recorded by the source corpus.
The non-Abelian topological order for superconductors is characterized by the existence of zero-energy Majorana fermions in edges of systems and in a vortex of a macroscopic condensate, which obey the non-Abelian statistics. This paper is devoted to an extensive study on the non-Abelian topological phase of spin-singlet superconductors with the Rashba spin-orbit interaction proposed in our previous letter [M. Sato, Y. Takahashi, and S. Fujimoto, Phys. Rev. Lett. 103, 020401 (2009)]. We mainly consider the s-wave pairing state and the d+id pairing state. In the case of d+id-wave pairing, Majorana fermions appear in almost all parameter regions of the mixed state under an applied magnetic field, provided that the Fermi level crosses k-points in the vicinity of the Gamma point or the M point in the Brillouin zone, while in the case of s-wave pairing, a strong magnetic field, the Zeeman energy of which is larger than the superconducting gap is required to realize the topological phase. We clarify that Majorana fermions in Rashba spin-singlet superconductors are much more stable than those realized in spin-triplet p+ip superconductors in certain parameter regions. We also investigate the topological number which ensures the topological stability of the phase in detail. Furthermore, as a byproduct, we found that topological order is also realized in conventional spin (or charge) density wave states with the Rashba spin-orbit interaction, for which massless Dirac fermions appear in the edge of the systems and charge fractionalization occurs.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/7269a60a627b5d223105332b83d2bd9a6060330c
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
- Y. Ando
- Masatoshi Sato
- Daniel Loss
- A. Chubukov
- R. Nandkishore
- R. Fernandes
- Masahito Ueda
- J. Schmalian
Citations in the corpus
- Chiral superconductivity from repulsive interactions in doped graphene (2011, background): “80, 5188 (1998) [11] Sato, M.”
- Topological superconductors: a review (2016, methodology): “Therefore, if swave pairing is induced in such a state by using proximity effect, it also realizes an effective p-wave superconductor [54, 162, 163, 233].”
- Probing atomic structure and Majorana wavefunctions in mono-atomic Fe chains on superconducting Pb surface (2015, background): “To generate spin textures, theoretical proposals have suggested to employ nanowires and magnetic chains with strong spin-orbit interaction [4–9] or with self-tuning RKKY interactions [10–12].”