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

被引：17

作者：

Yasui, Shigehiro ^{[1
]}

Itakura, Kazunori ^{[1
]}

Nitta, Muneto ^{[2
,3
]}

机构：

[1] High Energy Accelerator Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan

[2] Keio Univ, Dept Phys, Yokohama, Kanagawa 2238521, Japan

[3] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan

来源：

NUCLEAR PHYSICS B | 2012年 / 859卷 / 02期

关键词：

Non-Abelian statistics; Topological superconductors and insulators; Quantum vortices; TOPOLOGICAL INSULATORS; SUPERCONDUCTORS; ANYONS;

D O I：

10.1016/j.nuclphysb.2012.02.007

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：261 / 268

页数：8

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