Beyond the Search for Majorana


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}}

Yi-Zhuang You University of California, San Diego

Talk Type Scientific Series


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.