%0 Journal Article %T Exotic phase diagram of a topological quantum system %A Xiao-Feng Shi %A Yan Chen %A J. Q. You %J Physics %D 2010 %I arXiv %R 10.1103/PhysRevB.82.174412 %X We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases belonging to the same topological class, namely, either two non-Abelian phases with the same Chern number or two Abelian phases with the same Chern number. Such QPTs result from the singular behaviors of the nonlocal spin-spin correlation functions at the critical points. %U http://arxiv.org/abs/1007.4050v2