Demonstrating non-Abelian statistics of Majorana fermions using twist defects

@article{Zheng2015DemonstratingNS,
  title={Demonstrating non-Abelian statistics of Majorana fermions using twist defects},
  author={Huaixiu Zheng and Arpit Dua and Liang Jiang},
  journal={Physical Review B},
  year={2015},
  volume={92},
  pages={245139}
}
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 explicitly the twist defects carry unpaired Majorana zero modes. We also draw the same conclusion using two alternative approaches of a perturbation theory and a projective construction. We propose a quantum non-demolition measurement scheme of the parity of Majorana modes. Such a scheme provides an alternative avenue to… Expand

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