PIRSA:12110088 Scientific Series Condensed Matter

DOI10.48660/12110088

Series: Quantum Matter

You, Y. (2012). Beyond the Search for Majorana. Perimeter Institute. https://pirsa.org/12110088

You, Yi-Zhuang. Beyond the Search for Majorana. Perimeter Institute, Nov. 30, 2012, https://pirsa.org/12110088 

@misc{ pirsa_PIRSA:12110088,
  doi = {10.48660/12110088},
  url = {https://pirsa.org/12110088},
  author = {You, Yi-Zhuang},
  keywords = {Condensed Matter},
  language = {en},
  title = {Beyond the Search for Majorana},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {nov},
  note = {PIRSA:12110088 see, \url{https://pirsa.org}}
}

Abstract

The search for Majorana zero-modes in condensed matter system has attract increasing research interests recently. Looking for Majorna zero-mode is actually looking for topologically protected ground state degeneracy. The topological degeneracies on closed manifolds have been used to discover/define topological order in many-body systems, which contain excitations with fractional statistics. In this talk, I will present our recent work on new types of topological degeneracy induced by condensing anyons along a line in 2D topological ordered states. Such topological degeneracy can be viewed as carried by each end of the line-defect, which is a generalization of Majorana zero-modes. The ends of line-defects carry projective non-Abelian statistics even though they are produced by condensation of Abelian anyons, and braiding them allow us to perform fault tolerant quantum computations.

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