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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.
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