Non-abelian statistics of half-quantum vortices in p-wave superconductors
Non-abelian statistics of half-quantum vortices in p-wave superconductors
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DOI：
10.1103/physrevlett.86.268
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发表时间：
2001-01-08
影响因子：
8.6
通讯作者：
Ivanov, DA
中科院分区：
文献类型：
--
作者：
Ivanov, DA
p波超导体中含有零能Majorana费米子的半量子涡旋的激发谱。这导致了多涡系统基态的简并。从涡核中Bogoliubov-de Grimes方程的解的性质出发，我们导出了与Moore-Read（Pfidian）量子Hall态相同的涡旋的非阿贝尔统计.
Excitation spectrum of a half-quantum Vortex in a p-wave superconductor contains a zero-energy Majorana fermion. This results in a degeneracy of the ground state of the system of several vortices. From the properties of the solutions to Bogoliubov-de Grimes equations in the vortex core we derive the non-Abelian statistics of vortices identical to that for the Moore-Read (Pfaffian) quantum Hall state.