1204.0113 (Yi-Zhuang You et al.)

Non-Abelian Statistics of Dislocation Defects in a ZN Rotor Model    [PDF]

Yi-Zhuang You, Xiao-Gang Wen

Non-Abelain statistics is a phenomenon of long range entanglements in quantum material that generalizes Bose and Fermi statistics. In this paper, we construct a ZN rotor model that realizes a self-dual ZN Abelian gauge theory. We find that lattice dislocation defects in the model produce topologically protected degeneracy, and the dislocations can be viewed as non-Abelain anyons with quantum dimension sqrt(N). Those non-Abelain anyons could be useful in future applications to fault-tolerant quantum information processing.

View original: http://arxiv.org/abs/1204.0113