期刊
NUCLEAR PHYSICS B
卷 859, 期 2, 页码 261-268出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2012.02.007
关键词
Non-Abelian statistics; Topological superconductors and insulators; Quantum vortices
资金
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan [23103515]
- [E01: 21105006]
- [23740226]
- Grants-in-Aid for Scientific Research [23740198] Funding Source: KAKEN
Topological superconductors classified as type D admit zero-energy Majorana fermions inside vortex cores, and consequently the exchange statistics of vortices becomes non-Abelian, giving a promising example of non-Abelian anyons. On the other hand, types C and DIII admit zero-energy Dirac fermions inside vortex cores. It has been long believed that an essential condition for the realization of non-Abelian statistics is non-locality of Dirac fermions made of two Majorana fermions trapped inside two well-separated vortices as in the case of type D. Contrary to this conventional wisdom, however, we show that vortices with local Dirac fermions also obey non-Abelian statistics. (C) 2012 Elsevier B.V. All rights reserved.
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