Topological orders and edge excitations in fractional quantum Hall states

Xin Wan
Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, P.R. China
The fractional quantum Hall effect is a striking manifestation of strongly correlated physics that leads to a novel incompressible fluid phase of matter with fractionalized quantum numbers, signature of topological orders. The novel orders also manifest itself in the ground state degeneracies (that survive disorder) and in the edge structure of the quantum Hall fluid (determined by the topological order in the bulk). In this talk, we discuss topological orders in the presence of disorder and Coulomb interaction. Following the recent development of paired fractional quantum Hall state and topological quantum computation, we will present recent results on how to understand the edge excitations in an f = 5/2 fractional quantum Hall system with Coulomb interaction and edge confinement.