### 摘要

Motivated by the recent Kitaev's K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Rebbi model in 3+1 dimensions. According to the K-theory analysis based on the properties of the charge conjugation and time reversal symmetries, we classify the topological phases of the model. In particular, we find that there exist Z Majorana zero-modes hosted by the hedgehogs/t'Hooft-Polyakov monopoles, if the model has a T ^{2} = 1 time reversal symmetry. Guided by the K-theory results, we then explicitly show that a single Majorana zero mode solution exists for the SU(2) doublet fermions in some co- dimensional one planes of the mass parameter space. It turns out we can see the existence of none or a single zero mode when the fermion doublet is only two. We then take a step further to consider four-fermion case and find there can be zero, one or two normalizable zero mode in some particular choices of mass matrices. Our results also indicate that a single normalizable Majorana zero mode can be compatible with the cancellation of SU(2) Witten anomaly.

原文 | 英語 |
---|---|

文章編號 | 74 |

期刊 | Journal of High Energy Physics |

卷 | 2012 |

發行號 | 12 |

DOIs | |

出版狀態 | 已發佈 - 2012 一月 1 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## 指紋 深入研究「Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model」主題。共同形成了獨特的指紋。

## 引用此

*Journal of High Energy Physics*,

*2012*(12), [74]. https://doi.org/10.1007/JHEP12(2012)074