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

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• 作者：Shigehiro Yasui^a ; ^{yasuis@post.kek.jp} ; Kazunori Itakura^a ; Muneto Nitta^b
• 关键词：Non-Abelian statistics ; Topological superconductors and insulators ; Quantum vortices
• 刊名：Nuclear Physics B
• 出版年：2012
• 期刊代码：45_05503213
• 类别：ph
• 出版时间：11 June, 2012
• 卷：859
• 期：2
• 页码：261-268
• 文件大小：134 K

摘要

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.