Demonstrating non-Abelian statistics of Majorana fermions using twist defects

Huaixiu Zheng, Arpit Dua, Liang Jiang

We study the twist defects in the toric code model introduced by Bombin [Phys. Rev. Lett. 105, 030403 (2010)]. Using a generalized 2D Jordan-Wigner transformation, we show explicit…