TY - JOUR
T1 - Dirac returns
T2 - Non-Abelian statistics of vortices with Dirac fermions
AU - Yasui, Shigehiro
AU - Itakura, Kazunori
AU - Nitta, Muneto
N1 - Funding Information:
S.Y. is supported by a Grant-in-Aid for Scientific Research on Priority Areas “Elucidation of New Hadrons with a Variety of Flavors (E01: 21105006 )”. The work of M.N. is supported in part by Grant-in Aid for Scientific Research (No. 23740226 ) and by the “Topological Quantum Phenomena” Grant-in Aid for Scientific Research on Innovative Areas (No. 23103515 ) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.
PY - 2012/6/11
Y1 - 2012/6/11
N2 - 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.
AB - 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.
KW - Non-Abelian statistics
KW - Quantum vortices
KW - Topological superconductors and insulators
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U2 - 10.1016/j.nuclphysb.2012.02.007
DO - 10.1016/j.nuclphysb.2012.02.007
M3 - Article
AN - SCOPUS:84857451425
SN - 0550-3213
VL - 859
SP - 261
EP - 268
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 2
ER -