摘要：The quantum Hall state constitutes a paradigm for a topological state
of matter, the Hall conductance depends only on the number of edge states. A
class of analogous insulators, such as graphene with spin-orbit coupling and
an "inverted" semiconductor HgTe/CdTe quantum well, possess a single pair of
counter-propagating edge states, exhibiting quantum spin Hall effect. It is
natural to ask how disorder affects the stability of the helical edge states
in the topological insulator. We find that the physics of topological
insulator is unaffected by the presence of weak disorder but is destroyed
for large disorder, leading to a phase of topological Anderson insulator. In
this talk I shall introduce relevant properties of this novel quantum state
of matter.