Kaleidoscopic Topological Phases with multiple Abstract:Majorana fermions may have great potential applications in topological quantum computation and quantum information processing. Here we study an exactly solve model which have kaleidoscopic topological phases that support Majorana fermions. To be more specific, we extend the Kitaev-Yao-Kivelson's model to include three-body interactions. This extended model is exactly solvable and bears abundant topological phases with Chern number $\nu=0,\pm1,\pm2,\pm3,\pm4,\pm5,\pm6$. The phases with odd number $\nu$ all support localized Majorana models corresponding to different non-Abelian anyons, while the phases with even Chern number $\nu$ correspond to different Abelian anyons. In addition, the topological entanglement entropy which can characterize different topological states are also calculated and discussed. Biography: I am now a Ph.D. student in Department of Physics, University of Michigan-Ann Arbor. I got my Bachelor’s degree in Physics in 2007 from Nankai University. I also got a Master degree from Chern Institute of Mathematics before I came to Michigan. My current research interests include quantum information and computation, topological quantum computations, and topological phases of matter. |