Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model

Shih Hao Ho, Feng Li Lin, Xiao Gang Wen

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Article number74
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - 2012


  • Anyons
  • Nonperturbative Effects
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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