Dirac returns: Non-Abelian statistics of vortices with Dirac fermions

Shigehiro Yasui, Kazunori Itakura, Muneto Nitta

研究成果: Article

12 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)261-268
ページ数8
ジャーナルNuclear Physics B
859
発行部数2
DOI
出版物ステータスPublished - 2012 6 11

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fermions
statistics
vortices
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

これを引用

Dirac returns : Non-Abelian statistics of vortices with Dirac fermions. / Yasui, Shigehiro; Itakura, Kazunori; Nitta, Muneto.

:: Nuclear Physics B, 巻 859, 番号 2, 11.06.2012, p. 261-268.

研究成果: Article

Yasui, Shigehiro ; Itakura, Kazunori ; Nitta, Muneto. / Dirac returns : Non-Abelian statistics of vortices with Dirac fermions. :: Nuclear Physics B. 2012 ; 巻 859, 番号 2. pp. 261-268.
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